Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems:
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...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
München
1994
|
| Schriftenreihe: | Technische Universität <München>: TUM-I
9434 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | 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." |
| Beschreibung: | 35 S. |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010372282 | ||
| 003 | DE-604 | ||
| 005 | 20040416 | ||
| 007 | t | ||
| 008 | 950829s1994 gw t||| 00||| ger d | ||
| 016 | 7 | |a 945202326 |2 DE-101 | |
| 035 | |a (OCoLC)35123079 | ||
| 035 | |a (DE-599)BVBBV010372282 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a ger | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-29T |a DE-12 |a DE-91G | ||
| 088 | |a TUM I 9434 | ||
| 100 | 1 | |a Griebel, Michael |d 1960- |e Verfasser |0 (DE-588)111660068 |4 aut | |
| 245 | 1 | 0 | |a Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems |c Michael Griebel ; Peter Oswald |
| 264 | 1 | |a München |c 1994 | |
| 300 | |a 35 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Technische Universität <München>: TUM-I |v 9434 | |
| 490 | 1 | |a Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung paralleler Rechnerarchitekturen: SFB-Bericht / A |v 1994,15 | |
| 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 | |
| 830 | 0 | |a Technische Universität <München>: TUM-I |v 9434 |w (DE-604)BV006185376 |9 9434 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006905227 | |
Datensatz im Suchindex
| _version_ | 1807324016056205312 |
|---|---|
| adam_text |
CONTENTS
:
1.
INTRODUCTION
2.
SUBSPACE
SPLITTINGS
VIA
TENSOR
PRODUCTS
3.
ROBUST
NODAL
BASIS
AND
PREWAVELET
SCHEMES
4.
NUMERICAL
EXPERIMENTS
5.
CONCLUDING
REMARKS |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV010372282</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20040416</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">950829s1994 gw t||| 00||| ger d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">945202326</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)35123079</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010372282</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-29T</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield></datafield><datafield tag="088" ind1=" " ind2=" "><subfield code="a">TUM I 9434</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Griebel, Michael</subfield><subfield code="d">1960-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)111660068</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems</subfield><subfield code="c">Michael Griebel ; Peter Oswald</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">München</subfield><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">35 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Technische Universität <München>: TUM-I</subfield><subfield code="v">9434</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung paralleler Rechnerarchitekturen: SFB-Bericht / A</subfield><subfield code="v">1994,15</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="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."</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Elliptic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finite element method</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Multigrid methods (Numerical analysis)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wavelets (Mathematics)</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Oswald, Peter</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">A</subfield><subfield code="t">Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung paralleler Rechnerarchitekturen: SFB-Bericht</subfield><subfield code="v">1994,15</subfield><subfield code="w">(DE-604)BV004627888</subfield><subfield code="9">1994,15</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Technische Universität <München>: TUM-I</subfield><subfield code="v">9434</subfield><subfield code="w">(DE-604)BV006185376</subfield><subfield code="9">9434</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006905227</subfield></datafield></record></collection> |
| id | DE-604.BV010372282 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-14T01:21:32Z |
| 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 |
| spelling | Griebel, Michael 1960- Verfasser (DE-588)111660068 aut Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems Michael Griebel ; Peter Oswald München 1994 35 S. txt rdacontent n rdamedia nc rdacarrier Technische Universität <München>: TUM-I 9434 Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung paralleler Rechnerarchitekturen: SFB-Bericht / A 1994,15 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." Differential equations, Elliptic Finite element method Multigrid methods (Numerical analysis) Wavelets (Mathematics) Oswald, Peter Verfasser aut A Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung paralleler Rechnerarchitekturen: SFB-Bericht 1994,15 (DE-604)BV004627888 1994,15 Technische Universität <München>: TUM-I 9434 (DE-604)BV006185376 9434 DNB Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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 |