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Classification of semiregular relative difference sets with $$\gcd (\lambda ,n)=1$$ attaining Turyn’s bound Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-27 Ka Hin Leung, Bernhard Schmidt, Tao Zhang
Suppose a \((\lambda n,n,\lambda n, \lambda )\) relative difference set exists in an abelian group \(G=S\times H\), where \(|S|=\lambda \), \(|H|=n^2\), \(\gcd (\lambda ,n)=1\), and \(\lambda \) is self-conjugate modulo \(\lambda n\). Then \(\lambda \) is a square, say \(\lambda =u^2\), and \(\exp (S)\) divides u by Turyn’s exponent bound. We classify all such relative difference sets with \(\exp (S)=u\)
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Efficient secure multi-party computation for proof of custody in Ethereum sharding Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-27 Yuxin Tong, Xiang Xie, Kang Yang, Rui Zhang, Rui Xue
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PERK: compact signature scheme based on a new variant of the permuted kernel problem Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-27 Slim Bettaieb, Loïc Bidoux, Victor Dyseryn, Andre Esser, Philippe Gaborit, Mukul Kulkarni, Marco Palumbi
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On the M2,A,A-numerical range and the M2,A,A-maximal numerical range of the basic elementary operator M2,B,C Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-03-25 Zakaria Taki
Let A be a positive bounded operator acting on a complex Hilbert space H. For two bounded operators B and C on H, we denote by M2,B,C the basic elementary operator on the class of Hilbert–Schmidt o...
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Estimation of the fuel mixing of annular extruded fuel multi-jets in cavity flame holder at the supersonic combustion chamber via predictive surrogate model Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-27 Dechen Wei, Yuanyuan Jiao, Yukun Fan
Cavity flame holder is a well-organized method for fuel mixing inside the combustion chamber of supersonic vehicles. In this study, the combined machine learning technique of proper orthogonal decomposition (POD) combined with Long Short-Term Memory network (LSTM) is used for prediction of fuel jet penetration inside the cavity flame holder at free stream Mach=2.2 is investigated. Computational Fluid
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Plane strain problem of an elastic matrix containing multiple Gurtin–Murdoch material surfaces along straight segments Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-26 Rohit Satish Patil, Sofia G. Mogilevskaya
This paper presents the study of the plane strain problem of an infinite isotropic elastic medium subjected to far-field load and containing multiple Gurtin–Murdoch material surfaces located along straight segments. Each material segment represents a membrane of vanishing thickness characterized by its own elastic stiffness and residual surface tension. The governing equations, the jump conditions
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CCA security for contracting (quasi-)Feistel constructions with tight round complexity Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-23 Chun Guo, Ling Song
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Ordering of graphs with fixed size and diameter by Aα-spectral radii Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-03-21 Wei Wei, Zhimin Feng
The Aα-matrix of a graph G is defined as the convex linear combination of the adjacency matrix A(G) and the diagonal matrix of degrees D(G), i.e. Aα(G)=αD(G)+(1−α)A(G) with α∈[0,1]. The maximum mod...
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The kernels of powers of linear operator via Weyr characteristic Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-03-19 Jie Jian, Jun Liao, Heguo Liu
The adjoint of a matrix in the Lie algebra associated with a matrix algebra is a fundamental operator, which can be generalized to a more general operator φAB:X→AX−XB by two matrices A and B. The k...
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A Real Method for Solving Octonion Matrix Equation $$AXB=C$$ Based on Semi-tensor Product of Matrices Adv. Appl. Clifford Algebras (IF 1.5) Pub Date : 2024-03-23 Xiaochen Liu, Ying Li, Wenxv Ding, Ruyu Tao
In this paper, the octonion matrix equation \(AXB=C\) is studied based on semi-tensor product of matrices. Firstly, we propose the left real element representation and the right real element representation of octonion. Then we obtain the expression of the least squares Hermitian solution to the octonion matrix equation \(AXB=C\) by combining these representations with \(\mathcal {H}\)-representation
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A linear smoothed quadratic finite element for buckling analysis of laminated composite plates Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-23 Qing Li, Shenshen Chen
In this paper, a linear smoothing scheme over eight-node Reissner-Mindlin plate element under the framework of the CS-FEM is employed to buckling analysis of laminated composite plates based on the first-order shear deformation theory. The modified stain matrix is computed by the divergence theorem between the nodal shape functions and their derivatives using Taylor's expansion. Isoparametric mapping
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The Jordan algebraic structure of the rotated quadratic cone Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-03-21 Baha Alzalg, Karima Tamsaouete, Lilia Benakkouche, Ayat Ababneh
In this paper, we look into the rotated quadratic cone and analyze its algebraic structure. We construct an algebra associated with this cone and show that this algebra is a Euclidean Jordan algebr...
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On Bose distance of a class of BCH codes with two types of designed distances Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-19 Chunyu Gan, Chengju Li, Haifeng Qian, Xueying Shi
BCH codes are an interesting class of cyclic codes with good error-correcting capability and have wide applications in communication and storage systems due to their efficient encoding and decoding algorithms. Let \(\mathbb {F}_q\) be the finite field of size q and \(n=q^m-1\), where m is a positive integer. Let \(\mathcal C_{(q, m, \delta )}\) be the primitive narrow-sense BCH codes of length n over
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Negacyclic BCH codes of length $$\frac{q^{2m}-1}{q+1}$$ and their duals Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-19 Zhonghua Sun, Xinyue Liu, Shixin Zhu, Yongsheng Tang
Negacyclic BCH codes are an important subclass of negacyclic codes and have good parameters. Inspired by the recent work on cyclic codes published in Wu et al. (Finite Fields Appl 60:101581, 2019), the objective of this paper is to investigate the parameters of the narrow-sense negacyclic BCH codes of length \(n=\frac{q^{2m}-1}{q+1}\) over \({\textrm{GF}}(q)\), where q is an odd prime power. For \(2\le
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Analysis and application of MLPG7 for diffusion equations with nonlinear reaction terms Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-20 Fatemeh Taghipoor, Ahmad Shirzadi, Hossein Hosseinzadeh
This paper extends the recently proposed variant of meshless local Petrov Galerkin (MLPG) method, i.e., MLPG7, for solving time dependent PDEs. As test function, the method uses a novel modification of fundamental solution of Laplace operator that not only the test function itself but also its derivative vanish on boundary of local subdomains. Therefore, more stable local integral equations are obtained
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Motor magnetic field analysis using the edge-based smooth finite element method (ES-FEM) Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-20 R.Q. Li, M.D. Peng, Z.C. He, G.B. Chang, E.L. Zhou
This paper proposes a smooth finite element method (S-FEM) for efficient and accurate analysis of motor magnetic fields. The edge-based smooth finite element (ES-FEM) formulations are derived for two-dimensional triangular element meshes suitable for multi-material motor structures, and then a magnetic flux density calculation method appropriate for S-FEM to calculate nonlinear electromagnetic fields
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Common Spectral Properties of Bounded Right Linear Operators AC and BA in the Quaternionic Setting Adv. Appl. Clifford Algebras (IF 1.5) Pub Date : 2024-03-18 Rachid Arzini, Ali Jaatit
Let X be a two-sided quaternionic Banach space and let \(A, B, C: X \longrightarrow X\) be bounded right linear quaternionic operators such that \(ACA=ABA\). Let q be a non-zero quaternion. In this paper, we investigate the common properties of \((AC)^{2}-2Re(q)AC+|q|^2I\) and \((BA)^{2}-2Re(q)BA+|q|^2I\) where I stands for the identity operator on X. In particular, we show that $$\begin{aligned} \sigma
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Free vibration analysis of thin-walled folded structures employing Galerkin-based RKPM and stabilized nodal integration methods Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-19 Satoyuki Tanaka, Shion Ejima, Hanlin Wang, Shota Sadamoto
A Galerkin-based meshfree flat shell formulation is chosen to study natural frequency and eigenmode of thin-walled folded structures. Reproducing kernel is used as the interpolation function. Stabilized conforming nodal integration is employed for numerical integration of the weak form. Additionally, sub-domain stabilized conforming integration is adopted for the folded region to integrate the stiffness
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Special Issue on “Meshless computational approach to linear and non-linear mechanics of aerospace composite/intelligent structures” Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-19 Krzysztof Kamil Żur, Hulun Guo
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A versatile sharp boundary ghost-node method for moving rigid boundary fluid flow with meshless nodes distribution Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-19 Tongsheng Wang, Guang Xi, Zhongguo Sun, Zhu Huang
A sharp boundary ghost-node method (GNM) is developed to solve the moving boundary fluid flow in a meshless local radial basis function (LRBF) framework. The background Euler fluid node is the mesh-less scattered node based on LRBF rather than the conventional Cartesian grid or unstructured mesh. The present approach (LRBF-GNM) can flexibly treat the steady boundary with the body-fitted nodes and tackle
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Optical solitons based on N-coupled nonlinear Schrödinger equations and rational RBF partition of unity approach Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-19 Mostafa Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, Mehdi Dehghan
Recently, several numerical methods based on the radial basis functions have been applied to solving differential equations. Many researchers have employed the radial basis functions collocation technique and its improvements to get more accurate and efficient numerical solutions. The Schrödinger equations have several applications in the optic and laser. Accordingly, several numerical procedures have
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Generalizing Choi map in M3 beyond circulant scenario Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-03-18 Anindita Bera, Giovanni Scala, Gniewomir Sarbicki, Dariusz Chruściński
We introduce a family of positive linear maps in the algebra of 3×3 complex matrices, which generalizes the seminal positive non-decomposable map originally proposed by Choi. Necessary and sufficie...
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Modified CRI iteration methods for complex symmetric indefinite linear systems Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-03-12 Zhao-Zheng Liang, Yan Dou
This work investigates the iterative solution of complex symmetric linear systems with indefinite matrix term. Based on a technical equivalent reformulation of the original indefinite systems, an e...
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On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-03-12 A.M. Encinas, S. Mondal, K.C. Sivakumar
A well-known result for a singular irreducible M-matrix A is that the only nonnegative vector that belongs to the range space of A is the zero vector. In this paper, we prove an analogue of this re...
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Countably many asymptotic tensor ranks Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-03-12 Andreas Blatter, Jan Draisma, Filip Rupniewski
In connection with recent work on gaps in the asymptotic subranks of complex tensors the question arose whether the number of nonnegative real numbers that arise as the asymptotic subrank of some c...
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Balanced reconstruction codes for single edits Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-16
Abstract Motivated by the sequence reconstruction problem initiated by Levenshtein, reconstruction codes were introduced by Cai et al. to combat errors when a fixed number of noisy channels are available. The central problem on this topic is to design codes with sizes as large as possible, such that every codeword can be uniquely reconstructed from any N distinct noisy reads, where N is fixed. In this
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Impossibility of efficient information-theoretic fuzzy extraction Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-14 Benjamin Fuller
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The direct RBF-based partition of unity method for solving nonlinear fractional parabolic equations Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-14 Banafsheh Raeisi, Mohammadreza Ahmadi Darani, Mojtaba Fardi
This paper aims to analyze a novel localized radial basis function method known as the ’direct RBF-based partition of unity method’ for solving nonlinear fractional parabolic equations. In the proposed method, the weight functions are not operated on by the differential operators, resulting in a decrease in computational cost and algorithmic complexity. Another advantage of the direct RBF-based partition
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Monomial isomorphism for tensors and applications to code equivalence problems Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-12
Abstract Starting from the problem of d-tensor isomorphism (d- \(\textsf {TI}\) ), we study the relation between various code equivalence problems in different metrics. In particular, we show a reduction from the sum-rank metric ( \(\textsf {CE}_{\textsf {sr}}\) ) to the rank metric ( \(\textsf {CE}_{\textsf {rk}}\) ). To obtain this result, we investigate reductions between tensor problems. We define
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Efficient computation of $$(2^n,2^n)$$ -isogenies Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-12 S. Kunzweiler
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Square root computation in finite fields Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-12 Ebru Adiguzel-Goktas, Enver Ozdemir
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Dynamic response of semi-cylindrical depression, cylindrical cavity and type-III crack to SH wave in half-space anisotropic media Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-13 Debao Guo, Zailin Yang, Jinlai Bian, Yunqiu Song, Yong Yang
In this study, the anti-plane dynamic response of an elastic half-space anisotropic medium containing surface semi-cylindrical depressions and internal cylindrical cavity and type-III crack is solved analytically. The wave function expansion method, the complex function method and the Green's function method can be used to effectively construct the free wave field equation and the scattered wave field
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Rank one quaternionic operators and additive preservers Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-03-11 E. M. Ouahabi, K. Souilah
In this paper, we completely describe all additive surjective maps, on the set of all bounded finite rank right linear operators acting on a right quaternionic Banach space, that preserve the set o...
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Modeling groundwater flow with random hydraulic conductivity using radial basis function partition of unity method Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-12 Fouzia Shile, El Hassan Ben-Ahmed, Mohamed Sadik
Simulating groundwater flows in heterogeneous aquifers is one of the most widely studied problems. The heterogeneity is modeled through random hydraulic conductivity fields log-normally distributed. In this paper, we aim to generate the realization of the log-normal hydraulic conductivity by summing up a finite number of random periodic modes with the Kraichnan algorithm. To address Neumann conditions
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A non-iterative boundary element formulation for nonlinear viscoelasticity Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-12 Ahmet Arda Akay, Ercan Gürses, Serdar Göktepe
In this study, we propose a non-iterative boundary element method (BEM) of highly nonlinear viscoelasticity in time domain. The computationally attractive iteration-free algorithmic structure is achieved by the linearization of a power-type evolution equation. Supplementing the consistent linearization about every solution step with a semi-implicit update scheme, we obtain a robust boundary element
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Some constructions and existence conditions for Hermitian self-dual skew codes Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-10
Abstract In this paper, we first consider the existence conditions, the construction and the enumeration of Hermitian self-dual \(\theta \) -cyclic and \(\theta \) -negacyclic codes over \(\mathrm{I\hspace{-2.10007pt}F}_{p^2}\) , where p is a prime number and \(\theta \) is the Frobenius automorphism over \(\mathrm{I\hspace{-2.10007pt}F}_{p^2}\) . We then give necessary and sufficient conditions for
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MDS codes with l-Galois hulls of arbitrary dimensions Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-09 Liqin Qian, Xiwang Cao, Xia Wu, Wei Lu
The hull of a linear code is defined to be the intersection of the code and its dual, and was originally introduced to classify finite projective planes. The objective of this paper is to construct some MDS codes with l-Galois hulls of arbitrary dimensions by using the generalized Reed–Solomon codes over finite fields with regard to l-Galois inner product. We give a general construction theorem and
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Numerical investigation of high-dimensional option pricing PDEs by utilizing a hybrid radial basis function - finite difference procedure Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-11 Nawzad M. Ahmed, Fazlollah Soleymani, Rostam K. Saeed
The target of this research is to resolve high-dimensional partial differential equations (PDEs) for multi-asset options, modeled as parabolic time-dependent PDEs. We present a hybrid radial basis function - finite difference (RBF-FD) solver, which combines the advantages of Gaussian and multiquadric functions. Additionally, we employ the Krylov subspace method on the resulting system of ordinary differential
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Learning based numerical methods for acoustic frequency-domain simulation with high frequency Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-10 Tingyue Li, Yu Chen, Yun Miao, Dingjiong Ma
Acoustic simulation in frequency-domain is related to solving Helmholtz equations, which is still highly challenging at high frequency with complex geometries. In this paper, a learning based numerical method (LbNM) is proposed for general boundary value problems of Helmholtz equation. By using Tikhonov regularization, the solution operator is stably learned from various data solutions especially fundamental
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Generalized Partial-Slice Monogenic Functions: A Synthesis of Two Function Theories Adv. Appl. Clifford Algebras (IF 1.5) Pub Date : 2024-03-09 Zhenghua Xu, Irene Sabadini
In this paper, we review the notion of generalized partial-slice monogenic functions that was introduced by the authors in Xu and Sabadini (Generalized partial-slice monogenic functions, arXiv:2309.03698, 2023). The class of these functions includes both the theory of monogenic functions and of slice monogenic functions over Clifford algebras and it is obtained via a synthesis operator which combines
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Lie triple centralizers of the algebra of dominant block upper triangular matrices Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-03-04 Prakash Ghimire, Magdalena Benavides, Sheral King, Lavona Young
Let N be the algebra of all n×n dominant block upper triangular matrices over a field. In this paper, we explicitly describe all Lie triple centralizers of N. We also describe Lie triple centralize...
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Analyzing non-isothermal phase transition problems with natural convection using peridynamic differential operator Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-08 Baoliang Zhou, Zhiyuan Li, Yanzhou Lu, Dan Huang
In this study, a developed model for non-isothermal phase transition with natural convection is proposed by using peridynamic differential operator (PDDO). The dimensionless governing equations of heat source approach and vorticity-stream function approach are reconstructed into the non-local integral form. The Euler forward difference is used for time integration. The application of the developed
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A batch-filling method of VIE-MoM matrix for inhomogeneous dielectric target with full- and half-SWG function Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Ruqi Xiao, Wen Geyi, Guo Yang, Wen Wu
A batch-filling method (BFM) for generating the volume-integral-equation-methods of moment (VIE-MoM) matrix for the scattering of inhomogeneous objects by using the full- and half-SWG basis function is proposed. The BFM is based on the summation of contributions of all integrals over tetrahedrons and boundary faces, and the contributions are arranged into a column vector that represents the interactions
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Flow regime classification using various dimensionality reduction methods and AutoML Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Umair Khan, William Pao, Karl Ezra Pilario, Nabihah Sallih
Accurate identification of flow regimes is paramount in several industries, especially in chemical and hydrocarbon sectors. This paper describes a comprehensive data-driven workflow for flow regime identification. The workflow encompasses: i) the collection of dynamic pressure signals using an experimentally verified numerical two-phase flow model for three different flow regimes: stratified, slug
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A novel approach for estimating blood flow dynamics factors of eccentric stenotic arteries based on ML Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Yang Li, Detao Wan, Dean Hu, Changming Li
Reliable and rapid estimation of blood flow dynamics factors in eccentric stenotic arteries could significantly improve clinical treatments. Numerical simulation methods such as FSI and CFD are widely used to investigate blood flow conditions. However, both FSI and CFD are computationally expensive and not suitable for large-scale research. This work proposes an effective approach for estimating the
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Cross element integration for superconvergent frequency computation with cubic isogeometric formulation Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Ao Shen, Zhuangjing Sun, Songyang Hou, Dongdong Wang
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Material point method simulation approach to hydraulic fracturing in porous medium Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Fan Sun, Dongsheng Liu, Guilin Wang, Cong Cao, Song He, Xun Jiang, Siyu Gong
Two primary challenges in simulating hydraulic fracturing are the hydro–mechanical coupling and fracture propagation. The material point method (MPM) has advantages over conventional numerical methods by combining the advantages of particle- and mesh-based approaches in handling highly non-linear hydraulic fracturing problems. However, as MPM is primarily utilized for continuous solid simulations,
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Distance spectral radius and fractional matching in t-connected graphs Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-03-04 Yanling Hu, Huiqiu Lin, Yuke Zhang, Zhiguo Zhang
A fractional matching of a graph G is a function f assigning each edge a number in [0,1] so that ∑e∈Γ(v)f(e)≤1 for each v∈V(G), where Γ(v) is the set of edges incident to v. The fractional matching...
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Probabilistic bounds on best rank-1 approximation ratio Linear Multilinear Algebra (IF 1.1) Pub Date : 2024-03-03 Khazhgali Kozhasov, Josué Tonelli-Cueto
We provide new upper and lower bounds on the minimum possible ratio of the spectral and Frobenius norms of a (partially) symmetric tensor. In the particular case of general tensors, our result reco...
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An SPIM-FEM adapting coupling approach for the analysis of quasi-brittle media Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-06 Samir Silva Saliba, Lapo Gori, Roque Luiz da Silva Pitangueira
This paper presents an adaptive coupling approach between meshless Smoothed Point Interpolation Methods (SPIMs) and the Finite Element Method (FEM) for the physically nonlinear analysis of quasi-brittle media. The nonlinear behaviour is represented by scalar damage and smeared-crack models. In the proposed adaptive coupling approach, the domain is initially discretised with a relatively coarse FEM
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A novel reduced basis method for adjoint sensitivity analysis of dynamic topology optimization Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-06 Shuhao Li, Jichao Yin, Xinchao Jiang, Yaya Zhang, Hu Wang
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Compressed M-SIDH: an instance of compressed SIDH-like schemes with isogenies of highly composite degrees Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-05 Kaizhan Lin, Jianming Lin, Shiping Cai, Weize Wang, Chang-An Zhao
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Extremal regular graphs and hypergraphs related to fractional repetition codes Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-05
Abstract Fractional repetition codes (FRCs) are a special family of storage codes with the repair-by-transfer property in distributed storage systems. Constructions of FRCs are naturally related to combinatorial designs, graphs, and hypergraphs. In this paper, we consider an extremal problem on regular graphs related to FRCs where each packet is stored on \(\rho =2\) nodes. The problem asks for the
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Linear codes associated to determinantal varieties in the space of hermitian matrices Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-05 Kanchan Singh, Ritesh Kumar Pathak, Sheo Kumar Singh
We introduce a new class of linear codes over a finite field associated to determinantal varieties in the space of hermitian matrices and determine their length, dimension and minimum distance along with the weight spectrum.
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Numerical study of two operator splitting localized radial basis function method for Allen–Cahn problem Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-05 Mahdi Emamjomeh, Mohammad Nabati, Abdollah Dinmohammadi
In this article, we will explore the numerical simulation of the Allen–Cahn equation and provide effective combination methods to efficiently solve it. The Allen–Cahn equation, an equation of mathematical physics, represents a singularly perturbed reaction–diffusion phenomenon that elucidates the phase separation mechanism occurring in multi-component alloy systems. Finding a numerical solution for
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Development of GDDR method for ratcheting analysis of moderately thick plates Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-05 Seyed Iman Shahraini, Mehran Kadkhodayan, Hoda Aslani
In the present paper, a previously introduced numerical method, GDDR (Generalized Differential Dynamic Relaxation), is developed to analyze ratcheting behavior of moderately thick rectangular plates. The validity of the method is verified by comparison with literature data and finite element method results. Classical Plate Theory (CPT) and First-order Shear Deformation Theory (FSDT) are utilized to
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Study on meso‑mechanical properties and failure mechanism of soil-rock mixture based on SPH model Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-05 Gang Zhong, Xiaoqiang Zhang, Shunchuan Wu, Haoyang Wu, Xiong Song
This study adopts the Smoothed Particle Hydrodynamics (SPH) technique to accurately and efficiently replicate and forecast the mesoscopic behavior of soil-rock mixtures (SRM). It introduces a novel approach for generating rock blocks within the SRM, utilizing a method that randomly selects angles and lengths. In addition, this research proposes a method for discretizing any shaped region into free
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Large Hermitian hull GRS codes of any given length Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-04 Hao Chen
The construction of Hermitian self-orthogonal generalized Reed-Solomon (GRS) codes of many specific lengths and large dimensions has been an active topic. The construction of Euclidean self-dual GRS codes and twisted generalized Reed-Solomon (TGRS) codes attracts some attentions. In this paper, we construct GRS \([n, k, n-k+1]_{q^2}\) codes (thus MDS codes) over \(\textbf{F}_{q^2}\) of the arbitrary
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Twisted skew G-codes Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-04 Angelot Behajaina, Martino Borello, Javier de la Cruz, Wolfgang Willems
In this paper we investigate left ideals as codes in twisted skew group rings. The considered rings, which are in most cases algebras over a finite field, allow us to retrieve many of the well-known codes. The presentation, given here, unifies the concept of group codes, twisted group codes and skew group codes.
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Combining MILP modeling with algebraic bias evaluation for linear mask search: improved fast correlation attacks on SNOW Des. Codes Cryptogr. (IF 1.6) Pub Date : 2024-03-04
Abstract The Mixed Integer Linear Programming (MILP) technique has been widely applied in the realm of symmetric-key cryptanalysis. In this paper, we propose a new bitwise breakdown MILP modeling strategy for describing the linear propagation rules of modular addition-based operations. We apply such new techniques to cryptanalysis of the SNOW stream cipher family and find new linear masks: we use the