Symmetric discontinuous Galerkin methods for 1-D waves: Fourier analysis, propagation, observability and applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2014
|
| Schriftenreihe: | SpringerBriefs in mathematics
BCAM SpringerBriefs |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461458104 9781461458111 |
| DOI: | 10.1007/978-1-4614-5811-1 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV041812235 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 140423s2014 |||| o||u| ||||||eng d | ||
| 015 | |a 14,O04 |2 dnb | ||
| 016 | 7 | |a 104832785X |2 DE-101 | |
| 020 | |a 9781461458104 |9 978-1-4614-5810-4 | ||
| 020 | |a 9781461458111 |c Online |9 978-1-4614-5811-1 | ||
| 024 | 7 | |a 10.1007/978-1-4614-5811-1 |2 doi | |
| 024 | 3 | |a 9781461458111 | |
| 035 | |a (OCoLC)875587312 | ||
| 035 | |a (DE-599)DNB104832785X | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-91 |a DE-739 |a DE-20 |a DE-19 |a DE-634 |a DE-861 |a DE-384 |a DE-83 | ||
| 082 | 0 | |a 510 | |
| 084 | |a MAT 000 |2 stub | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Marica, Aurora |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Symmetric discontinuous Galerkin methods for 1-D waves |b Fourier analysis, propagation, observability and applications |c Aurora Marica ; Enrique Zuazua |
| 264 | 1 | |a New York, NY [u.a.] |b Springer |c 2014 | |
| 300 | |a 1 Online-Ressource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a SpringerBriefs in mathematics | |
| 490 | 0 | |a BCAM SpringerBriefs | |
| 700 | 1 | |a Zuazua, Enrique |e Verfasser |4 aut | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4614-5811-1 |x Verlag |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027257563&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027257563&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
| 912 | |a ZDB-2-SMA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027257563 | ||
| 966 | e | |u https://doi.org/10.1007/978-1-4614-5811-1 |l BTU01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-5811-1 |l FRO01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-5811-1 |l TUM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-5811-1 |l UBA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-5811-1 |l UBM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-5811-1 |l UBT01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-5811-1 |l UBW01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-1-4614-5811-1 |l UPA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804152138305110016 |
|---|---|
| adam_text | SYMMETRIC DISCONTINUOUS GALERKIN METHODS FOR 1-D WAVES
/ MARICA, AURORA
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1. PRELIMINARIES
2. DISCONTINUOUS GALERKIN APPROXIMATIONS AND MAIN RESULTS
3. BIBLIOGRAPHICAL NOTES
4. FOURIER ANALYSIS OF THE DG METHODS
5. NON-UNIFORM OBSERVABILITY FOR DG APPROXIMATIONS OF WAVES
6. FILTERING MECHANISMS
7. EXTENSIONS TO OTHER NUMERICAL APPROXIMATION SCHEMES
8. COMMENTS AND OPEN PROBLEMS
A TECHNICAL PROOF
REFERENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SYMMETRIC DISCONTINUOUS GALERKIN METHODS FOR 1-D WAVES
/ MARICA, AURORA
: 2014
ABSTRACT / INHALTSTEXT
THIS WORKDESCRIBES THE PROPAGATION PROPERTIES OF THE SO-CALLED
SYMMETRIC INTERIOR PENALTY DISCONTINUOUS GALERKIN (SIPG) APPROXIMATIONS
OF THE 1-D WAVE EQUATION. THIS IS DONE BY MEANS OF LINEAR APPROXIMATIONS
ON UNIFORM MESHES. FIRST,A CAREFUL FOURIER ANALYSIS IS CONSTRUCTED,
HIGHLIGHTINGTHE COEXISTENCE OF TWO FOURIER SPECTRAL BRANCHES OR
SPECTRAL DIAGRAMS (PHYSICAL AND SPURIOUS) RELATED TO THE TWO COMPONENTS
OF THE NUMERICAL SOLUTION (AVERAGES AND JUMPS). EFFICIENT FILTERING
MECHANISMS ARE ALSO DEVELOPEDBY MEANS OF TECHNIQUES PREVIOUSLY PROVED
TO BE APPROPRIATE FOR CLASSICAL SCHEMES LIKE FINITE DIFFERENCES OR
P1-CLASSICAL FINITE ELEMENTS. IN PARTICULAR,THE WORK PRESENTS A PROOF
THATTHE UNIFORM OBSERVABILITY PROPERTY IS RECOVERED UNIFORMLY BY
CONSIDERING INITIAL DATA WITH NULL JUMPS AND AVERAGES GIVEN BY A BI-GRID
FILTERING ALGORITHM. FINALLY, THE BOOKEXPLAINS HOW THESERESULTS CAN
BE EXTENDED TO OTHER MORE SOPHISTICATED CONFORMING AND NON-CONFORMING
FINITE ELEMENT METHODS, IN PARTICULAR TO QUADRATIC FINITEELEMENTS,
LOCAL DISCONTINUOUS GALERKIN METHODS AND A VERSION OF THE SIPG METHOD
ADDING PENALIZATION ON THE NORMAL DERIVATIVES OF THE NUMERICAL SOLUTION
AT THE GRID POINTS. THIS WORK IS THE FIRST PUBLICATION TOCONTAINA
RIGOROUS ANALYSIS OF THE DISCONTINUOUS GALERKIN METHODS FOR WAVE CONTROL
PROBLEMS. IT WILL BE OF INTEREST TO A RANGE OF RESEARCHERS SPECIALIZING
INWAVE APPROXIMATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Marica, Aurora Zuazua, Enrique |
| author_facet | Marica, Aurora Zuazua, Enrique |
| author_role | aut aut |
| author_sort | Marica, Aurora |
| author_variant | a m am e z ez |
| building | Verbundindex |
| bvnumber | BV041812235 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)875587312 (DE-599)DNB104832785X |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4614-5811-1 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02640nmm a2200529zc 4500</leader><controlfield tag="001">BV041812235</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">140423s2014 |||| o||u| ||||||eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">14,O04</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">104832785X</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461458104</subfield><subfield code="9">978-1-4614-5810-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461458111</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4614-5811-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4614-5811-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9781461458111</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)875587312</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB104832785X</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-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-861</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Marica, Aurora</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Symmetric discontinuous Galerkin methods for 1-D waves</subfield><subfield code="b">Fourier analysis, propagation, observability and applications</subfield><subfield code="c">Aurora Marica ; Enrique Zuazua</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">SpringerBriefs in mathematics</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">BCAM SpringerBriefs</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zuazua, Enrique</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4614-5811-1</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</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=027257563&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</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=027257563&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027257563</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-5811-1</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-5811-1</subfield><subfield code="l">FRO01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-5811-1</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-5811-1</subfield><subfield code="l">UBA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-5811-1</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-5811-1</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-5811-1</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4614-5811-1</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV041812235 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:05:57Z |
| institution | BVB |
| isbn | 9781461458104 9781461458111 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027257563 |
| oclc_num | 875587312 |
| open_access_boolean | |
| owner | DE-703 DE-91 DE-BY-TUM DE-739 DE-20 DE-19 DE-BY-UBM DE-634 DE-861 DE-384 DE-83 |
| owner_facet | DE-703 DE-91 DE-BY-TUM DE-739 DE-20 DE-19 DE-BY-UBM DE-634 DE-861 DE-384 DE-83 |
| physical | 1 Online-Ressource |
| psigel | ZDB-2-SMA |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Springer |
| record_format | marc |
| series2 | SpringerBriefs in mathematics BCAM SpringerBriefs |
| spelling | Marica, Aurora Verfasser aut Symmetric discontinuous Galerkin methods for 1-D waves Fourier analysis, propagation, observability and applications Aurora Marica ; Enrique Zuazua New York, NY [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in mathematics BCAM SpringerBriefs Zuazua, Enrique Verfasser aut https://doi.org/10.1007/978-1-4614-5811-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027257563&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027257563&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Marica, Aurora Zuazua, Enrique Symmetric discontinuous Galerkin methods for 1-D waves Fourier analysis, propagation, observability and applications |
| title | Symmetric discontinuous Galerkin methods for 1-D waves Fourier analysis, propagation, observability and applications |
| title_auth | Symmetric discontinuous Galerkin methods for 1-D waves Fourier analysis, propagation, observability and applications |
| title_exact_search | Symmetric discontinuous Galerkin methods for 1-D waves Fourier analysis, propagation, observability and applications |
| title_full | Symmetric discontinuous Galerkin methods for 1-D waves Fourier analysis, propagation, observability and applications Aurora Marica ; Enrique Zuazua |
| title_fullStr | Symmetric discontinuous Galerkin methods for 1-D waves Fourier analysis, propagation, observability and applications Aurora Marica ; Enrique Zuazua |
| title_full_unstemmed | Symmetric discontinuous Galerkin methods for 1-D waves Fourier analysis, propagation, observability and applications Aurora Marica ; Enrique Zuazua |
| title_short | Symmetric discontinuous Galerkin methods for 1-D waves |
| title_sort | symmetric discontinuous galerkin methods for 1 d waves fourier analysis propagation observability and applications |
| title_sub | Fourier analysis, propagation, observability and applications |
| url | https://doi.org/10.1007/978-1-4614-5811-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027257563&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027257563&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT maricaaurora symmetricdiscontinuousgalerkinmethodsfor1dwavesfourieranalysispropagationobservabilityandapplications AT zuazuaenrique symmetricdiscontinuousgalerkinmethodsfor1dwavesfourieranalysispropagationobservabilityandapplications |