An overview of the method of fundamental solutions—Solvability, uniqueness, convergence, and stability
AHD Cheng, Y Hong - Engineering Analysis with Boundary Elements, 2020 - Elsevier
In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …
Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations
The localized method of fundamental solutions (LMFS) is proposed in this paper for solving
two-dimensional boundary value problems, governed by Laplace and biharmonic …
two-dimensional boundary value problems, governed by Laplace and biharmonic …
A generalized finite difference method based on the Peridynamic differential operator for the solution of problems in bounded and unbounded domains
In this paper, a generalized finite difference method (GFDM) based on the Peridynamic
differential operator (PDDO) is investigated. The weighted moving least square (MLS) …
differential operator (PDDO) is investigated. The weighted moving least square (MLS) …
Coupling of 2D discretized peridynamics with a meshless method based on classical elasticity using switching of nodal behaviour
Purpose The paper aims to use a switching technique which allows to couple a nonlocal
bond-based Peridynamic approach to the Meshless Local Exponential Basis Functions …
bond-based Peridynamic approach to the Meshless Local Exponential Basis Functions …
Application of the peridynamic differential operator to the solution of sloshing problems in tanks
Purpose The purpose of this paper is to apply the Peridynamic differential operator (PDDO)
to incompressible inviscid fluid flow with moving boundaries. Based on the potential flow …
to incompressible inviscid fluid flow with moving boundaries. Based on the potential flow …
[HTML][HTML] Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime
This paper presents a fast multipole accelerated singular boundary method (SBM) to the
solution of the large-scale three-dimensional Helmholtz equation at low frequency. By using …
solution of the large-scale three-dimensional Helmholtz equation at low frequency. By using …
An enrichment technique for bending analysis of in-plane heterogeneous thin plates with weak singularities
O Bateniparvar, N Noormohammadi - Engineering with Computers, 2023 - Springer
Static solution of thin elastic plate problems with in-plane varying thickness or material
properties having weak point singularities (eg crack tip or notches) is studied using a novel …
properties having weak point singularities (eg crack tip or notches) is studied using a novel …
The MFS versus the Trefftz method for the Laplace equation in 3D
H Lv, F Hao, Y Wang, CS Chen - Engineering Analysis with Boundary …, 2017 - Elsevier
The method of fundamental solutions (MFS) and the Trefftz method are two powerful
boundary meshless methods for solving boundary value problems governed by …
boundary meshless methods for solving boundary value problems governed by …
[PDF][PDF] A modified method of fundamental solutions with source on the boundary for solving Laplace equations with circular and arbitrary domains
A boundary-type method for solving the Laplace problems using the modified method of
fundamental solutions (MMFS) is proposed. The present method (MMFS) implements the …
fundamental solutions (MMFS) is proposed. The present method (MMFS) implements the …
[PDF][PDF] Computational methods in engineering: a variety of primal & mixed methods, with global & local interpolations, for well-posed or ill-Posed BCs
In this expository article, a variety of computational methods, such as Collocation, Finite
Volume, Finite Element, Boundary Element, MLPG (Meshless Local Petrov Galerkin), Trefftz …
Volume, Finite Element, Boundary Element, MLPG (Meshless Local Petrov Galerkin), Trefftz …