On a construction of fast direct solvers

Milan Práger

Applications of Mathematics (2003)

  • Volume: 48, Issue: 3, page 225-236
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Práger, Milan. "On a construction of fast direct solvers." Applications of Mathematics 48.3 (2003): 225-236. <http://eudml.org/doc/33146>.

@article{Práger2003,
abstract = {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.},
author = {Práger, Milan},
journal = {Applications of Mathematics},
keywords = {Poisson equation; boundary value problem; fast direct solver; triangle; tetrahedron; Poisson equation; boundary value problem; fast direct solver; triangle; tetrahedron},
language = {eng},
number = {3},
pages = {225-236},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a construction of fast direct solvers},
url = {http://eudml.org/doc/33146},
volume = {48},
year = {2003},
}

TY - JOUR
AU - Práger, Milan
TI - On a construction of fast direct solvers
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 3
SP - 225
EP - 236
AB - 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.
LA - eng
KW - Poisson equation; boundary value problem; fast direct solver; triangle; tetrahedron; Poisson equation; boundary value problem; fast direct solver; triangle; tetrahedron
UR - http://eudml.org/doc/33146
ER -

References

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  1. 10.1023/A:1023269922178, Appl. Math. 43 (1998), 311–320. (1998) MR1627985DOI10.1023/A:1023269922178
  2. 10.1023/A:1013744008028, Appl. Math. 46 (2001), 231–239. (2001) Zbl1059.65101MR1828307DOI10.1023/A:1013744008028
  3. Handbook of Convex Geometry, P. M. Gruber, J. M.  Wills (eds.), Elsevier Science Publishers B.V., 1993. (1993) Zbl0777.52002
  4. 10.1145/321250.321259, J. Assoc. Comp. Mach. 12 (1965), 95–113. (1965) Zbl0139.10902MR0213048DOI10.1145/321250.321259
  5. 10.1090/S0025-5718-1965-0178586-1, Math. Comp. 19 (1965), 297–301. (1965) MR0178586DOI10.1090/S0025-5718-1965-0178586-1
  6. 10.1137/1019071, SIAM Review 19 (1977), 490–501. (1977) Zbl0358.65088MR0438732DOI10.1137/1019071
  7. Space-filling tetrahedra in Euclidean space, Proc. Edinburgh Math. Soc. 41 (1923), 49–57. (1923) 

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