Exploiting Symmetry in 3D Boundary Element Methods
نویسندگان
چکیده
Many linear operator equations are defined on regions which are invariant under a group Γ of symmetry transformations. If in addition, the linear operator is equivariant with respect to Γ and if a discretization is made which respects the equivariance, the original discretized problem can be decomposed into a collection of much smaller problems, and a significant reduction of computational cost can be effected. Since these ideas are not yet commonplace in the literature of numerical analysis, we give an accessible introduction and illustrate the efficacy of the ideas in the case of a boundary element method corresponding to a three-dimensional exterior Neumann problem the discretization of which has the same symmetry as a cube.
منابع مشابه
Exploiting partial or complete geometrical symmetry in 3D symmetric Galerkin indirect BEM formulations
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