Article citationsMore>>

Peratta, A. and Popov, V. (2004) Numerical Stability of the BEM for Advection-Diffusion Problems. Numerical Methods for Partial Differential Equations, 20, 675-702.
http://dx.doi.org/10.1002/num.20009

has been cited by the following article:

• TITLE: A Direct Implementation of a Modified Boundary Integral Formulation for the Extended Fisher-Kolmogorov Equation

  AUTHORS: Okey Oseloka Onyejekwe

  KEYWORDS: Boundary Element Method, Extended Fisher-Kolmogorov Equation Boundary Integral Formulation, Slender Coefficient Matrix, Hybridization, Domain-Driven

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.10, October 28, 2015

  ABSTRACT: This study is concerned with the numerical approximation of the extended Fisher-Kolmogorov equation with a modified boundary integral method. A key aspect of this formulation is that it relaxes the domain-driven approach of a typical boundary element (BEM) technique. While its discretization keeps faith with the second order accurate BEM formulation, its implementation is element-based. This leads to a local solution of all integral equation and their final assembly into a slender and banded coefficient matrix which is far easier to manipulate numerically. This outcome is much better than working with BEM’s fully populated coefficient matrices resulting from a numerical encounter with the problem domain especially for nonlinear, transient, and heterogeneous problems. Faithful results of high accuracy are achieved when the results obtained herein are compared with those available in literature.