Coupling Boundary Elements to a Raytracing Procedure using the Singular Indirect Method

A coupling procedure for modeling acoustic problems using finite elements and boundary elements

Finite element (FEM) and boundary element (BEM) methods have been used for a long time for the numerical simulation of acoustic problems. The development presented in this paper deals with a general procedure for coupling acoustic finite elements with acoustic boundary elements in order to solve efficiently acoustic problems involving non homogeneous fluids. Emphasis is made on problems where f...

A Regular Indirect Boundary Element Method for Thermal Analysis

A Regular Indirect Boundary Element Method for Thermal Analysis

A shape optimization method for nonlinear axisymmetric magnetostatics using a coupling of finite and boundary elements

In this paper we propose a method for constrained shape optimization governed with a nonlinear axisymmetric magnetostatic state problem and we apply it to an optimal shape design of an electromagnet. The state problem is solved via Hiptmair’s symmetric coupling of finite elements employed in the interior ferromagnetic domain and boundary elements modelling the exterior air domain as well as cur...

Bending Solution for Simply Supported Annular Plates Using the Indirect Trefftz Boundary Method

This paper presents the bending analysis of annular plates by the indirect Trefftz boundary approach. The formulation for thin and thick plates is based on the Kirchhoff plate theory and the Reissner plate theory. The governing equations are therefore a fourth-order boundary value problem and a sixth-order boundary value problem, respectively. The Trefftz method employs the complete set of solu...