Geodesic
On a construction of fast direct solvers
Applications of Mathematics, Tome 48 (2003) no. 3, pp. 225-236

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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.
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.
DOI : 10.1023/A:1026006530166
Classification : 65F05, 65N22
Keywords: Poisson equation; boundary value problem; fast direct solver; triangle; tetrahedron 
Práger, Milan. On a construction of fast direct solvers. Applications of Mathematics, Tome 48 (2003) no. 3, pp. 225-236. doi: 10.1023/A:1026006530166
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