WIT Press


Boundary Interpolation Vs Boundary Elements: Theory And Some Applications

Price

Free (open access)

Paper DOI

10.2495/BE040151

Volume

37

Pages

10

Published

2004

Size

266 kb

Author(s)

C. Gaspar

Abstract

Domain and boundary type meshless methods based on the Direct Multi-Elliptic Interpolation Method are presented. The approach is equivalent to a special RBFmethod but completely avoids the solution of large, full and ill-conditioned systems, thus, the computational cost is significantly reduced. The method is illustrated through the example of the usual Poisson problem. Both Dirichlet and Neumann boundary conditions are investigated. The domain version of the method results in particular solutions, while the boundary version can be applied to solve homogeneous problems. Along Neumann boundaries, either off-boundary points can be introduced or a boundary reconstruction technique based on boundary interpolation can be applied. Some further possible applications are also outlined. Keywords: meshless methods, RBF-methods, direct multi-ellipti

Keywords