The Trefftz method is understood as an approximate method for solving boundary value
problems in which the approximate solution is a linear combination of trial functions …

This paper proposes exact dynamic stiffness formulations for membranes and their
assemblies under any arbitrary classical boundary conditions. First, by taking exact solutions …

The method of separation of variables in elliptical coordinates in conjunction with the
translational addition theorems for Mathieu functions is used to investigate the free flexural …

In this paper, we focus on the water wave scattering by an array of four elliptical cylinders.
The null-field boundary integral equation method (BIEM) is used in conjunction with …

This article attempts to solve the problem of oblique incident wave with multiple cylinders
using the method of fundamental solutions (MFS) combined with a proposed error …

This paper presents a semi-analytical approach to solve the eigenproblem of an acoustic
cavity with multiple elliptical boundaries. To satisfy the Helmholtz equation in the elliptical …

In this paper, the torsion problem is analyzed by boundary element method (BEM). After
applying a new error estimation technique in the BEM, we can derive the numerical error of …

This paper presents the collocation multipole method for the acoustic scattering induced by
multiple elliptical cylinders subjected to an incident plane sound wave. To satisfy the …

Acoustic eigenproblems of 3-D elliptical cylindrical cavities having multiple elliptical
cylinders are solved by means of a 3-D semi-analytical formulation based on a multipole …

Recently, the null-field method (NFM) has been proposed by Chen and his co-researchers
for solving boundary value problems involving circular domains with circular holes. The …