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