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Keywords:
Poisson equation; boundary value problem; fast direct solver; triangle; tetrahedron
Poisson equation; boundary value problem; fast direct solver; triangle; tetrahedron
Summary:
Fast direct solvers for the Poisson equation with homogeneous Dirichlet and Neumann boundary conditions on special triangles and tetrahedra are constructed. The domain given is extended by symmetrization or skew symmetrization onto a rectangle or a rectangular parallelepiped and a fast direct solver is used there. All extendable domains are found. Eigenproblems are also considered.
References:
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