Boundary-element method yields external vector potentials in complex industrial applications

Petroleum reservoir engineering applications of the dual reciprocity boundary element method and the green element method

Petroleum reservoir engineering requires solutions to the transient diffusion and convection-diffusion equations. Traditionally these calculations are carried out using finite difference methods. Prior workers have used perturbation-based boundary element methods for single phase flow in heterogeneous media. The current work applies the Dual Reciprocity Boundary Element Method (DRBEM) and the G...

Recent Advances and Emerging Applications of the Boundary Element Method

Sponsored by the U.S. National Science Foundation, a workshop on the boundary element method (BEM) was held on the campus of the University of Akron during September 1–3, 2010 (NSF, 2010, “Workshop on the Emerging Applications and Future Directions of the Boundary Element Method,” University of Akron, Ohio, September 1–3). This paper was prepared after this workshop by the organizers and partic...

Modeling mixed boundary conditions in a Hilbert space with the complex variable boundary element method (CVBEM)

The Laplace equation that results from specifying either the normal or tangential force equilibrium equation in terms of the warping functions or its conjugate can be modeled as a complex variable boundary element method or CVBEM mixed boundary problem. The CVBEM is a well-known numerical technique that can provide solutions to potential value problems in two or more dimensions by the use of an...

Modeling Mixed Boundary Problems with the Complex Variable Boundary Element Method (cvbem) Using Matlab and Mathematica

The complex variable boundary element method or CVBEM is a numerical technique that can provide solutions to potential value problems in two or more dimensions by the use of an approximation function that is derived from the Cauchy integral equation in complex analysis. Given the potential values (i.e. a Dirichlet problem) along the boundary, the typical problem is to use the potential function...

A Regular Indirect Boundary Element Method for Thermal Analysis