In this work we study three exterior extension problems for strongly elliptic partial equations:
the Cauchy problem (in a special statement), the" analytical" continuation problem and the …

In this paper, we present an improved dynamic analysis method to address plane elasticity
problems. Distributed sources are employed in a boundary-free mesh-based approach …

This paper developed the method of Erdogans fundamental solution (MFS) for a 2D in-plane
crack problem with static and dynamic loads. The analytical solutions with complex variables …

The method of fundamental solutions with excitation source (MFS‐ES) is a reliable method
for determining the eigenvalues of a two‐dimensional hollow waveguide. However, the …

In this study, a meshless regularized method of fundamental solution (RMFS) is proposed to
solve the electromagnetic scattering problem for three-dimensional perfect electric …

The computational accuracy of near singular integrals is the key to determine the overall
accuracy and stability of BEM in solving elastic variables, and even the success or failure of …

A method of fundamental solutions (MFS) is proposed and analyzed for the ill-posed
problem of finding the wave motion from given lateral Cauchy data in annular domains. A …

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 …

Reversible electroporation is a suitable technique to aid the internalization of medicaments
in cancer tissues without inducing permanent cellular damage, allowing the enhancement of …

The method of fundamental solutions (MFS) is a numerical method for solving boundary
value problems involving linear partial differential equations. It is well-known that it can be …