The backward substitution method is a newly developed meshless method that has been
used for the simulation of many problems in science and engineering with high accuracy …

In this paper we will present a formulation for solving elastodynamic problems in 2D using
the method of fundamental solutions (MFS). The governing equation for the displacement in …

The aim of this paper is to provide a suitable formulation for obtaining an exact answer, for
stress analysis of structure with linear elastic behavior. This structure is assumed to be …

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) …

A new computational model by integrating the boundary element method and the compactly
supported radial basis functions (CSRBF) is developed for three-dimensional (3D) linear …

This paper extends the method of fundamental solutions (MFS) for solving the boundary
value problems of analytic functions based on Cauchy-Riemann equations and properties of …

We present an efficient numerical scheme to evaluate hypersingular integrals appeared in
boundary element methods. The hypersingular integrals are first separated into regular and …

This paper develops a new numerical method of fundamental solutions for the non-
homogeneeous convection-diffusion equations with time-dependent heat sources. A …

The distinctive paper is devoted to formulation and basic principles of approximation of
multipoint boundary problem of static analysis of three-dimensional structure with the use of …

Further to the discussion of hybrid Trefftz FEM in Chapter 1, this chapter presents an
overview of applications of the fundamental solution based FEM for heat conduction and …