Numerical methods with particular solutions for nonhomogeneous Stokes and Brinkman systems
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 …
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 …
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
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 …
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
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 …
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) …
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 …
(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
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 …
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 …
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 …
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 …
solving linear partial differential equations. In this paper it is used for a new purpose: the …