Publication: Hybrid Galerkin boundary elements: theory and implementation
Hybrid Galerkin boundary elements: theory and implementation
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Graham, I. G., Hackbusch, W., & Sauter, S. A. (2000). Hybrid Galerkin boundary elements: theory and implementation. Numerische Mathematik, 86, 139–172. https://doi.org/10.1007/PL00005400
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In this paper we present a new quadrature method for computing Galerkin stiffness matrices arising from the discretisation of 3D boundary integral equations using continuous piecewise linear boundary elements. This rule takes as points some subset of the nodes of the mesh and can be used for computing non-singular Galerkin integrals corresponding to pairs of basis functions with non-intersecting supports. When this new rule is combined with standard methods for the singular Galerkin integrals we obtain a `hybrid' Galerkin method which
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- Graham, I G
- Hackbusch, W
- Sauter, S A
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Graham, I. G., Hackbusch, W., & Sauter, S. A. (2000). Hybrid Galerkin boundary elements: theory and implementation. Numerische Mathematik, 86, 139–172. https://doi.org/10.1007/PL00005400