An attempt at efficient boundary element method.

An Efficient Approach for Seismoacoustic Scattering Simulation Based on Boundary Element Method

Conformal mapping and efficient boundary element method without boundary elements for fast vortex particle simulations

In this paper, a revitalization of conformal mapping methods applied to fluid flows in two dimensions is proposed. The present work addresses several important issues concerning their application for vortex particle flow solvers. Difficulties of past conformal based method are reviewed. One difficulty concerns the ability of a mapping procedure to represent complicated shapes. The present paper...

A Regular Indirect Boundary Element Method for Thermal Analysis

A Regular Indirect Boundary Element Method for Thermal Analysis

Generalized Taylor–Duffy Method for Efficient Evaluation of Galerkin Integrals in Boundary-Element Method Computations Citation

We present a generic technique, automated by computer-algebra systems and available as open-source software [1], for efficient numerical evaluation of a large family of singular and nonsingular 4-dimensional integrals over triangleproduct domains, such as those arising in the boundary-element method (BEM) of computational electromagnetism. Previously, practical implementation of BEM solvers oft...