Numerical methods with particular solutions for nonhomogeneous Stokes and Brinkman systems

CJS Alves, NFM Martins, AL Silvestre - Advances in Computational …, 2022 - Springer
This paper deals with the numerical approximation of solutions of Stokes and Brinkman
systems using meshless methods. The aim is to solve a problem containing a nonzero body …

物理信息依赖核函数配点法的研究进展

傅卓佳, 李明娟, 习强, 徐文志, 刘庆国 - 力学学报, 2022 - lxxb.cstam.org.cn
在过去几十年里, 尽管有限元等传统计算方法已被成功用于众多科学与工程领域,
但是其在数值模拟无限域波传播, 大尺寸比结构, 工程反演和移动边界问题时仍面临计算量大 …

Fading regularization MFS algorithm for the Cauchy problem associated with the two-dimensional Stokes equations

H Zayeni, AB Abda, F Delvare, F Khayat - Numerical Algorithms, 2023 - Springer
In this paper, we investigate the application of the fading regularization method with the
method of fundamental solutions (MFS) to the ill-posed Cauchy-Stokes problem. For both …

[HTML][HTML] Method of fundamental solutions: New approximation results and applications

HT Hoang, F Izsák, G Maros - Journal of Computational and Applied …, 2024 - Elsevier
The approximation properties of shifted fundamental solutions are stated for a general class
of second order linear elliptic differential operators. Motivated by the method of the …

The method of fundamental solutions for two-dimensional elasticity problems based on the Airy stress function

Q Jiang, Z Zhou, J Chen, F Yang - Engineering Analysis with Boundary …, 2021 - Elsevier
This paper presents a new version of the method of fundamental solutions (MFS) for two-
dimensional linear elasticity problems based on the stress function (Airy stress function) …

Method of fundamental solution for thin plate resting on elastic foundation with in-plane forces

MX Wang, XB Yan, YC Liu, PH Wen - Engineering Analysis with Boundary …, 2024 - Elsevier
This study aims to investigate the Method of Fundamental Solution (MFS) to the thin plate
(Kirchhoff theory) resting on the elastic foundation subjected to in-plane forces under either …

An inverse method of fundamental solutions for the identification of 2D elastic properties of anisotropic solids

MR Hematiyan, A Khosravifard, M Mohammadi… - Journal of the Brazilian …, 2024 - Springer
There are six elastic constants for an anisotropic body in plane strain/stress conditions. In
the inverse problem of this study, it is assumed that the elastic constants of an anisotropic …

General time-dependent Green's functions of line forces in a two-dimensional, anisotropic, elastic, and infinite solid

E Pan - Engineering Analysis with Boundary Elements, 2021 - Elsevier
In this paper, we derive analytical time-dependent Green's functions in a two-dimensional,
anisotropic elastic, and infinite solid. It is based on the Stroh formalism combined with …

A SFBEM–FEM coupling method for solving crack problems based on Erdogan fundamental solutions

C Su, K Cai, Z Xu - Journal of Engineering Mathematics, 2023 - Springer
The boundary element method (BEM) has proven to be an efficient approach for crack
analysis in fracture mechanics, while its versatility in application to crack problems of …

Integration over discrete closed surfaces using the Method of Fundamental Solutions

DA Lockerby - Engineering Analysis with Boundary Elements, 2022 - Elsevier
Abstract The Method of Fundamental Solutions (MFS) is an established technique for
solving linear partial differential equations. In this paper it is used for a new purpose: the …