Mathematical and computational techniques for multilevel adaptive methods:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia
Soc. for Industrial and Applied Mathematics
1993
|
| Schriftenreihe: | Frontiers in applied mathematics
13 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 129 - 134 |
| Beschreibung: | XII, 140 S. graph. Darst. |
| ISBN: | 089871320X |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV009584579 | ||
| 003 | DE-604 | ||
| 005 | 19960829 | ||
| 007 | t | ||
| 008 | 940509s1993 d||| |||| 00||| eng d | ||
| 020 | |a 089871320X |9 0-89871-320-X | ||
| 035 | |a (OCoLC)28507768 | ||
| 035 | |a (DE-599)BVBBV009584579 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-29T |a DE-20 |a DE-91G |a DE-634 |a DE-83 |a DE-11 | ||
| 050 | 0 | |a QA377 | |
| 082 | 0 | |a 515/.353 |2 20 | |
| 084 | |a DAT 532f |2 stub | ||
| 084 | |a 65N55 |2 msc | ||
| 100 | 1 | |a Rüde, Ulrich |d 1957- |e Verfasser |0 (DE-588)111660041 |4 aut | |
| 245 | 1 | 0 | |a Mathematical and computational techniques for multilevel adaptive methods |c Ulrich Rüde |
| 264 | 1 | |a Philadelphia |b Soc. for Industrial and Applied Mathematics |c 1993 | |
| 300 | |a XII, 140 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Frontiers in applied mathematics |v 13 | |
| 500 | |a Literaturverz. S. 129 - 134 | ||
| 650 | 7 | |a Multigrid-methoden |2 gtt | |
| 650 | 7 | |a Partiële differentiaalvergelijkingen |2 gtt | |
| 650 | 4 | |a Differential equations, Partial |x Numerical solutions | |
| 650 | 4 | |a Multigrid methods (Numerical analysis) | |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Berechenbarkeit |0 (DE-588)4138368-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Adaptives Verfahren |0 (DE-588)4310560-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Adaptives Verfahren |0 (DE-588)4310560-9 |D s |
| 689 | 0 | 1 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Adaptives Verfahren |0 (DE-588)4310560-9 |D s |
| 689 | 1 | 1 | |a Berechenbarkeit |0 (DE-588)4138368-0 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Frontiers in applied mathematics |v 13 |w (DE-604)BV001873790 |9 13 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006334585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006334585 | ||
Datensatz im Suchindex
| _version_ | 1804123925379022848 |
|---|---|
| adam_text | Contents
PREFACE be
LIST OF FIGURES xi
CHAPTER 1. Introduction 1
1.1 Purpose and motivation 1
1.2 Notation 4
1.3 Basics and model problems 6
CHAPTER 2. Multilevel Splittings 9
2.1 Abstract stable splittings 10
2.2 Finite element spaces 20
2.3 Stable bases 29
2.4 Induced splittings 31
2.5 Multilevel iterations 32
2.6 Multilevel error estimators 32
CHAPTER 3. The Fully Adaptive Multigrid Method 35
3.1 Adaptive relaxation 37
3.2 Algebraic structure 47
3.3 Application of the theory of multilevel splittings 51
3.4 Multilevel adaptive iteration 56
3.5 Analysis of the V cycle 60
3.6 Hierarchical transformations 61
3.7 Virtual global grids 72
3.8 Robustness 73
3.9 Parallelization 74
3.10 Numerical examples 75
3.11 Perspectives 79
3.12 Historical remark 81
vii
viii CONTENTS
CHAPTER 4. Data Structures 83
4.1 Introduction 83
4.2 Finite element meshes 85
4.3 Special cases 94
4.4 Adaptive techniques 101
4.5 Hierarchical meshes 111
4.6 Implementation using C++ 122
REFERENCES 129
INDEX 135
|
| any_adam_object | 1 |
| author | Rüde, Ulrich 1957- |
| author_GND | (DE-588)111660041 |
| author_facet | Rüde, Ulrich 1957- |
| author_role | aut |
| author_sort | Rüde, Ulrich 1957- |
| author_variant | u r ur |
| building | Verbundindex |
| bvnumber | BV009584579 |
| callnumber-first | Q - Science |
| callnumber-label | QA377 |
| callnumber-raw | QA377 |
| callnumber-search | QA377 |
| callnumber-sort | QA 3377 |
| callnumber-subject | QA - Mathematics |
| classification_tum | DAT 532f |
| ctrlnum | (OCoLC)28507768 (DE-599)BVBBV009584579 |
| dewey-full | 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02051nam a2200505 cb4500</leader><controlfield tag="001">BV009584579</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19960829 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">940509s1993 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">089871320X</subfield><subfield code="9">0-89871-320-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)28507768</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV009584579</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-29T</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA377</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.353</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">DAT 532f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">65N55</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Rüde, Ulrich</subfield><subfield code="d">1957-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)111660041</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematical and computational techniques for multilevel adaptive methods</subfield><subfield code="c">Ulrich Rüde</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Philadelphia</subfield><subfield code="b">Soc. for Industrial and Applied Mathematics</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 140 S.</subfield><subfield code="b">graph. Darst.</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">Frontiers in applied mathematics</subfield><subfield code="v">13</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 129 - 134</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Multigrid-methoden</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Partiële differentiaalvergelijkingen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Partial</subfield><subfield code="x">Numerical solutions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Multigrid methods (Numerical analysis)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Berechenbarkeit</subfield><subfield code="0">(DE-588)4138368-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Adaptives Verfahren</subfield><subfield code="0">(DE-588)4310560-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Adaptives Verfahren</subfield><subfield code="0">(DE-588)4310560-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Adaptives Verfahren</subfield><subfield code="0">(DE-588)4310560-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Berechenbarkeit</subfield><subfield code="0">(DE-588)4138368-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Frontiers in applied mathematics</subfield><subfield code="v">13</subfield><subfield code="w">(DE-604)BV001873790</subfield><subfield code="9">13</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=006334585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006334585</subfield></datafield></record></collection> |
| id | DE-604.BV009584579 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:37:31Z |
| institution | BVB |
| isbn | 089871320X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006334585 |
| oclc_num | 28507768 |
| open_access_boolean | |
| owner | DE-29T DE-20 DE-91G DE-BY-TUM DE-634 DE-83 DE-11 |
| owner_facet | DE-29T DE-20 DE-91G DE-BY-TUM DE-634 DE-83 DE-11 |
| physical | XII, 140 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Soc. for Industrial and Applied Mathematics |
| record_format | marc |
| series | Frontiers in applied mathematics |
| series2 | Frontiers in applied mathematics |
| spelling | Rüde, Ulrich 1957- Verfasser (DE-588)111660041 aut Mathematical and computational techniques for multilevel adaptive methods Ulrich Rüde Philadelphia Soc. for Industrial and Applied Mathematics 1993 XII, 140 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Frontiers in applied mathematics 13 Literaturverz. S. 129 - 134 Multigrid-methoden gtt Partiële differentiaalvergelijkingen gtt Differential equations, Partial Numerical solutions Multigrid methods (Numerical analysis) Mathematik (DE-588)4037944-9 gnd rswk-swf Berechenbarkeit (DE-588)4138368-0 gnd rswk-swf Adaptives Verfahren (DE-588)4310560-9 gnd rswk-swf Adaptives Verfahren (DE-588)4310560-9 s Mathematik (DE-588)4037944-9 s DE-604 Berechenbarkeit (DE-588)4138368-0 s Frontiers in applied mathematics 13 (DE-604)BV001873790 13 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006334585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rüde, Ulrich 1957- Mathematical and computational techniques for multilevel adaptive methods Frontiers in applied mathematics Multigrid-methoden gtt Partiële differentiaalvergelijkingen gtt Differential equations, Partial Numerical solutions Multigrid methods (Numerical analysis) Mathematik (DE-588)4037944-9 gnd Berechenbarkeit (DE-588)4138368-0 gnd Adaptives Verfahren (DE-588)4310560-9 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4138368-0 (DE-588)4310560-9 |
| title | Mathematical and computational techniques for multilevel adaptive methods |
| title_auth | Mathematical and computational techniques for multilevel adaptive methods |
| title_exact_search | Mathematical and computational techniques for multilevel adaptive methods |
| title_full | Mathematical and computational techniques for multilevel adaptive methods Ulrich Rüde |
| title_fullStr | Mathematical and computational techniques for multilevel adaptive methods Ulrich Rüde |
| title_full_unstemmed | Mathematical and computational techniques for multilevel adaptive methods Ulrich Rüde |
| title_short | Mathematical and computational techniques for multilevel adaptive methods |
| title_sort | mathematical and computational techniques for multilevel adaptive methods |
| topic | Multigrid-methoden gtt Partiële differentiaalvergelijkingen gtt Differential equations, Partial Numerical solutions Multigrid methods (Numerical analysis) Mathematik (DE-588)4037944-9 gnd Berechenbarkeit (DE-588)4138368-0 gnd Adaptives Verfahren (DE-588)4310560-9 gnd |
| topic_facet | Multigrid-methoden Partiële differentiaalvergelijkingen Differential equations, Partial Numerical solutions Multigrid methods (Numerical analysis) Mathematik Berechenbarkeit Adaptives Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006334585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001873790 |
| work_keys_str_mv | AT rudeulrich mathematicalandcomputationaltechniquesformultileveladaptivemethods |