WIT Press


Two-dimensional Potential Problems: Accuracy Through Advanced Integration Algorithms And C1 Continuous Boundary Elements

Price

Free (open access)

Paper DOI

10.2495/BE000151

Volume

26

Pages

10

Published

2000

Size

867 kb

Author(s)

J. Pereda, J.A. Garrido, A. Lorenzana

Abstract

Two-dimensional potential problems: accuracy through advanced integration algorithms and C* continuous boundary elements J. Pereda, J. A. Garrido, A. Lorenzana University of Valladolid, SPAIN Abstract The aim of this presentation is to investigate the largest accuracy that can be obtained with the ordinary 2D boundary integral equations using advanced algorithms for the integration and modifications in the representation of the boundary. The presence of mathematical singularities demands an accurate evaluation of the involved integrals. Analytical and numerical integration schemes are used, including transformations of the domain and extended Gauss quadrature methods. Efficient parametric boundary elements (modified Overhauser) are used and compared with various kinds of boundary elements, some of which have also O-continuity (quadratic spline). All this effort is applied to solve two-dimensional potential problems. Especially the problem of heat transfe

Keywords