Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems:
Saved in:
Main Authors: | , |
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Format: | Book |
Language: | German |
Published: |
München
1994
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Series: | Technische Universität <München>: TUM-I
9434 |
Subjects: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006905227&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Abstract: | Abstract: "We describe tensor product type techniques to derive robust solvers for anisotropic elliptic model problems on rectangular domains in R[superscript d]. Our analysis is based on the theory of additive subspace correction methods and applies to finite-element and prewavelet-schemes. We present multilevel- and prewavelet-based methods that are robust for anisotropic diffusion operators with additional Helmholtz term. Furthermore the resulting convergence rates are independent of the discretization level. Beside their theoretical foundation, we also report on the results of various numerical experiments to compare the different methods." |
Physical Description: | 35 S. |
Staff View
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245 | 1 | 0 | |a Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems |c Michael Griebel ; Peter Oswald |
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520 | 3 | |a Abstract: "We describe tensor product type techniques to derive robust solvers for anisotropic elliptic model problems on rectangular domains in R[superscript d]. Our analysis is based on the theory of additive subspace correction methods and applies to finite-element and prewavelet-schemes. We present multilevel- and prewavelet-based methods that are robust for anisotropic diffusion operators with additional Helmholtz term. Furthermore the resulting convergence rates are independent of the discretization level. Beside their theoretical foundation, we also report on the results of various numerical experiments to compare the different methods." | |
650 | 4 | |a Differential equations, Elliptic | |
650 | 4 | |a Finite element method | |
650 | 4 | |a Multigrid methods (Numerical analysis) | |
650 | 4 | |a Wavelets (Mathematics) | |
700 | 1 | |a Oswald, Peter |e Verfasser |4 aut | |
810 | 2 | |a A |t Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung paralleler Rechnerarchitekturen: SFB-Bericht |v 1994,15 |w (DE-604)BV004627888 |9 1994,15 | |
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Record in the Search Index
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DE-BY-TUM_katkey | 1459220 |
DE-BY-TUM_location | 01 |
DE-BY-TUM_media_number | 040010447304 |
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any_adam_object | 1 |
author | Griebel, Michael 1960- Oswald, Peter |
author_GND | (DE-588)111660068 |
author_facet | Griebel, Michael 1960- Oswald, Peter |
author_role | aut aut |
author_sort | Griebel, Michael 1960- |
author_variant | m g mg p o po |
building | Verbundindex |
bvnumber | BV010372282 |
ctrlnum | (OCoLC)35123079 (DE-599)BVBBV010372282 |
format | Book |
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id | DE-604.BV010372282 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T09:52:54Z |
institution | BVB |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006905227 |
oclc_num | 35123079 |
open_access_boolean | |
owner | DE-29T DE-12 DE-91G DE-BY-TUM |
owner_facet | DE-29T DE-12 DE-91G DE-BY-TUM |
physical | 35 S. |
publishDate | 1994 |
publishDateSearch | 1994 |
publishDateSort | 1994 |
record_format | marc |
series | Technische Universität <München>: TUM-I |
series2 | Technische Universität <München>: TUM-I Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung paralleler Rechnerarchitekturen: SFB-Bericht / A |
spellingShingle | Griebel, Michael 1960- Oswald, Peter Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems Technische Universität <München>: TUM-I Differential equations, Elliptic Finite element method Multigrid methods (Numerical analysis) Wavelets (Mathematics) |
title | Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems |
title_auth | Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems |
title_exact_search | Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems |
title_full | Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems Michael Griebel ; Peter Oswald |
title_fullStr | Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems Michael Griebel ; Peter Oswald |
title_full_unstemmed | Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems Michael Griebel ; Peter Oswald |
title_short | Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems |
title_sort | tensor product type subspace splittings and multilevel iterative methods for anisotropic problems |
topic | Differential equations, Elliptic Finite element method Multigrid methods (Numerical analysis) Wavelets (Mathematics) |
topic_facet | Differential equations, Elliptic Finite element method Multigrid methods (Numerical analysis) Wavelets (Mathematics) |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006905227&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV004627888 (DE-604)BV006185376 |
work_keys_str_mv | AT griebelmichael tensorproducttypesubspacesplittingsandmultileveliterativemethodsforanisotropicproblems AT oswaldpeter tensorproducttypesubspacesplittingsandmultileveliterativemethodsforanisotropicproblems |
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Branch Library Mathematics & Informatics, Reports
Call Number: |
0111 2001 B 6080-1994,34
Floor plan |
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Copy 1 | Available for loan On Shelf |