USING MULTI LEVEL PRECONDITIONERS ON UNSTRUCTURED GRIDS IN ELLIPTIC BOUNDARY VALUE PROBLEMS

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BAGHER POUR FARD M.; HOSSEINI SEYED MOHAMMAD

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Journal: AMIRKABIR Year:2008 | Volume:18 | Issue:67-E Page(s): 17-27

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Information Journal Paper

Title

USING MULTI LEVEL PRECONDITIONERS ON UNSTRUCTURED GRIDS IN ELLIPTIC BOUNDARY VALUE PROBLEMS

Author(s)

BAGHER POUR FARD M. | HOSSEINI SEYED MOHAMMAD | Issue Writer Certificate

Keywords

SECOND ORDER ELLIPTIC BOUNDARY VALUE PROBLEMSQ3

FINITE ELEMENT METHODQ3

MULTI LEVEL PRECONDITIONERSQ3

FICTITIOUS SPACE LEMMAQ3

UNSTRUCTURED TRIANGULATIONQ3

Abstract

This paper consists of two parts. First it talks about simulation of two MULTI LEVEL PRECONDITIONERS under the names of HB (Hierarchical basis) and BPX (Bramble, Pasciak, Xu) for linear elliptic boundary value problems on polygon domain with Dirichlet boundary condition that is based on Multigrid idea. On the other hand, this simulation has been done in parallel computing that in addition to saving time it solves the problem of memory allocation. Since these preconditioners are based on domain with structured mesh, a technique is introduced based on FICTITIOUS SPACE LEMMA from which each arbitrary quasi-uniform UNSTRUCTURED TRIANGULATION of domain is embedded in auxiliary structured mesh on a square that contains it and then the aforementioned preconditioners for auxiliary mesh is obtained. Finally by defining an operator which makes a one-to-one correspondence between the nodal points of initial mesh on the one hand and those of auxiliary mesh on the other hand, hierarchical basis and BPX preconditioners are constructed for initial mesh that are named "art HB" and "art BPX" respectively.

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APA: Copy

BAGHER POUR FARD, M., & HOSSEINI, SEYED MOHAMMAD. (2008). USING MULTI LEVEL PRECONDITIONERS ON UNSTRUCTURED GRIDS IN ELLIPTIC BOUNDARY VALUE PROBLEMS. AMIRKABIR, 18(67-E), 17-27. SID. https://sid.ir/paper/798/en

Vancouver: Copy

BAGHER POUR FARD M., HOSSEINI SEYED MOHAMMAD. USING MULTI LEVEL PRECONDITIONERS ON UNSTRUCTURED GRIDS IN ELLIPTIC BOUNDARY VALUE PROBLEMS. AMIRKABIR[Internet]. 2008;18(67-E):17-27. Available from: https://sid.ir/paper/798/en

IEEE: Copy

M. BAGHER POUR FARD, and SEYED MOHAMMAD HOSSEINI, “USING MULTI LEVEL PRECONDITIONERS ON UNSTRUCTURED GRIDS IN ELLIPTIC BOUNDARY VALUE PROBLEMS,” AMIRKABIR, vol. 18, no. 67-E, pp. 17–27, 2008, [Online]. Available: https://sid.ir/paper/798/en

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