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.
DOI :
10.1023/A:1026006530166
Classification :
65F05, 65N22
Keywords: Poisson equation; boundary value problem; fast direct solver; triangle; tetrahedron
Keywords: Poisson equation; boundary value problem; fast direct solver; triangle; tetrahedron
@article{10_1023_A_1026006530166,
author = {Pr\'ager, Milan},
title = {On a construction of fast direct solvers},
journal = {Applications of Mathematics},
pages = {225--236},
publisher = {mathdoc},
volume = {48},
number = {3},
year = {2003},
doi = {10.1023/A:1026006530166},
mrnumber = {1980369},
zbl = {1099.65027},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1026006530166/}
}
TY - JOUR AU - Práger, Milan TI - On a construction of fast direct solvers JO - Applications of Mathematics PY - 2003 SP - 225 EP - 236 VL - 48 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1023/A:1026006530166/ DO - 10.1023/A:1026006530166 LA - en ID - 10_1023_A_1026006530166 ER -
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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