A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin
Logos
2012
|
| Series: | Augsburger Schriften zur Mathematik, Physik und Informatik
19 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 101 S. graph. Darst. |
| ISBN: | 9783832530884 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV039966665 | ||
| 003 | DE-604 | ||
| 005 | 20120803 | ||
| 007 | t | ||
| 008 | 120319s2012 d||| m||| 00||| eng d | ||
| 020 | |a 9783832530884 |9 978-3-8325-3088-4 | ||
| 035 | |a (OCoLC)785853928 | ||
| 035 | |a (DE-599)BVBBV039966665 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-188 | ||
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 084 | |a SK 920 |0 (DE-625)143272: |2 rvk | ||
| 100 | 1 | |a Neher, Johannes |e Verfasser |0 (DE-588)1020912790 |4 aut | |
| 245 | 1 | 0 | |a A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods |c vorgelegt von Johannes L. Neher |
| 264 | 1 | |a Berlin |b Logos |c 2012 | |
| 300 | |a 101 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Augsburger Schriften zur Mathematik, Physik und Informatik |v 19 | |
| 502 | |a Augsburg, Univ., Diss., 2011 | ||
| 650 | 0 | 7 | |a A-posteriori-Abschätzung |0 (DE-588)4346907-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Galerkin-Methode |0 (DE-588)4155831-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | 1 | |a Galerkin-Methode |0 (DE-588)4155831-5 |D s |
| 689 | 0 | 2 | |a A-posteriori-Abschätzung |0 (DE-588)4346907-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Augsburger Schriften zur Mathematik, Physik und Informatik |v 19 |w (DE-604)BV017601953 |9 19 | |
| 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=024824292&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-024824292 | ||
Record in the Search Index
| _version_ | 1804148943615950848 |
|---|---|
| adam_text | IMAGE 1
C O N T E N T S
1 INTRODUCTION 1
2 HYBRIDIZED PROBLEM 5
2.1 P R I M A L A N D DUAL MIXED FORMULATION 5
2.1.1 P R I M A L VARIATIONAL FORMULATION 6
2.1.2 P R I M A L MIXED FORMULATION 7
2.1.3 DUAL MIXED FORMULATION 9
2.1.4 TOWARDS DISCRETIZATION 11
2.2 IDEA OF HYBRIDIZATION 11
3 HYBRID M E T H O D S 1 7
3.1 GENERAL S T R U C T U R E 17
3.2 HYBRIDIZED MIXED M E T H O D S 24
3.2.1 RAVIART-THOMAS M E T H O D 24
3.2.2 BREZZI-DOUGLAS-MARINI M E T H O D 2 7
3.3 DISCONTINUOUS GALERKIN M E T H O D S 28
3.3.1 LOCAL D G M E T H O D 29
3.3.2 INTERIOR PENALTY D G M E T H O D 31
3.4 HYBRIDIZED CONTINUOUS GALERKIN M E T H O D 3 7
3.5 HYBRIDIZED NONCONFORMING M E T H O D 39
3.6 COMPUTATIONAL ASPECTS 42
4 A POSTERIORI ERROR ANALYSIS 4 5
4.1 A POSTERIORI ERROR ESTIMATORS 45
4.2 ESTIMATION OF T I E , 2 A N D R ) B , 3 FOR T H E H-DG M E T H O D S
52
4.3 ESTIMATION OF T H E J U M P T E R M FOR T H E H-NC M E T H O D S 59
4.4 EFFICIENCY OF T H E ERROR ESTIMATOR 61
HTTP://D-NB.INFO/1019654414
IMAGE 2
IV CONTENTS
5 NUMERICAL RESULTS 6 7
5.1 NUMERICAL SOLUTION OF HYBRID M E T H O D S 67
5.2 POISSOU EQUATION W I T H SMOOTH SOLUTION 70
5.3 POISSON EQUATION ON L-SHAPED DOMAIN 74
5.4 INTERIOR LAYER 79
5.5 DISCONTINUOUS DIFFUSION TENSOR 84
6 CONCLUSION 9 3
|
| any_adam_object | 1 |
| author | Neher, Johannes |
| author_GND | (DE-588)1020912790 |
| author_facet | Neher, Johannes |
| author_role | aut |
| author_sort | Neher, Johannes |
| author_variant | j n jn |
| building | Verbundindex |
| bvnumber | BV039966665 |
| classification_rvk | SK 540 SK 920 |
| ctrlnum | (OCoLC)785853928 (DE-599)BVBBV039966665 |
| discipline | Mathematik |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01862nam a2200421 cb4500</leader><controlfield tag="001">BV039966665</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120803 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">120319s2012 d||| m||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783832530884</subfield><subfield code="9">978-3-8325-3088-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)785853928</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV039966665</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">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 920</subfield><subfield code="0">(DE-625)143272:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Neher, Johannes</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1020912790</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods</subfield><subfield code="c">vorgelegt von Johannes L. Neher</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">Logos</subfield><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">101 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">Augsburger Schriften zur Mathematik, Physik und Informatik</subfield><subfield code="v">19</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Augsburg, Univ., Diss., 2011</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">A-posteriori-Abschätzung</subfield><subfield code="0">(DE-588)4346907-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Galerkin-Methode</subfield><subfield code="0">(DE-588)4155831-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Galerkin-Methode</subfield><subfield code="0">(DE-588)4155831-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">A-posteriori-Abschätzung</subfield><subfield code="0">(DE-588)4346907-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Augsburger Schriften zur Mathematik, Physik und Informatik</subfield><subfield code="v">19</subfield><subfield code="w">(DE-604)BV017601953</subfield><subfield code="9">19</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=024824292&sequence=000001&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:BVB01-024824292</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV039966665 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:15:10Z |
| institution | BVB |
| isbn | 9783832530884 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024824292 |
| oclc_num | 785853928 |
| open_access_boolean | |
| owner | DE-384 DE-188 |
| owner_facet | DE-384 DE-188 |
| physical | 101 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Logos |
| record_format | marc |
| series | Augsburger Schriften zur Mathematik, Physik und Informatik |
| series2 | Augsburger Schriften zur Mathematik, Physik und Informatik |
| spelling | Neher, Johannes Verfasser (DE-588)1020912790 aut A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods vorgelegt von Johannes L. Neher Berlin Logos 2012 101 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Augsburger Schriften zur Mathematik, Physik und Informatik 19 Augsburg, Univ., Diss., 2011 A-posteriori-Abschätzung (DE-588)4346907-3 gnd rswk-swf Galerkin-Methode (DE-588)4155831-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Partielle Differentialgleichung (DE-588)4044779-0 s Galerkin-Methode (DE-588)4155831-5 s A-posteriori-Abschätzung (DE-588)4346907-3 s DE-604 Augsburger Schriften zur Mathematik, Physik und Informatik 19 (DE-604)BV017601953 19 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024824292&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Neher, Johannes A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods Augsburger Schriften zur Mathematik, Physik und Informatik A-posteriori-Abschätzung (DE-588)4346907-3 gnd Galerkin-Methode (DE-588)4155831-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4346907-3 (DE-588)4155831-5 (DE-588)4044779-0 (DE-588)4113937-9 |
| title | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods |
| title_auth | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods |
| title_exact_search | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods |
| title_full | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods vorgelegt von Johannes L. Neher |
| title_fullStr | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods vorgelegt von Johannes L. Neher |
| title_full_unstemmed | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods vorgelegt von Johannes L. Neher |
| title_short | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods |
| title_sort | a posteriori error estimation for hybridized mixed and discontinuous galerkin methods |
| topic | A-posteriori-Abschätzung (DE-588)4346907-3 gnd Galerkin-Methode (DE-588)4155831-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | A-posteriori-Abschätzung Galerkin-Methode Partielle Differentialgleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024824292&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV017601953 |
| work_keys_str_mv | AT neherjohannes aposteriorierrorestimationforhybridizedmixedanddiscontinuousgalerkinmethods |