Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1998
|
| Schriftenreihe: | Mathematics and Its Applications
444 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid. Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students |
| Beschreibung: | 1 Online-Ressource (XXIV, 479 p) |
| ISBN: | 9781461333388 9781461333401 |
| DOI: | 10.1007/978-1-4613-3338-8 |
Internformat
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-3338-8 |
| format | Electronic eBook |
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| id | DE-604.BV042420631 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461333388 9781461333401 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856048 |
| oclc_num | 879622949 |
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| physical | 1 Online-Ressource (XXIV, 479 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer US |
| record_format | marc |
| series2 | Mathematics and Its Applications |
| spelling | Li, Zi Cai Verfasser aut Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities by Zi Cai Li Boston, MA Springer US 1998 1 Online-Ressource (XXIV, 479 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 444 In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid. Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students Mathematics Computer science / Mathematics Engineering mathematics Computational Mathematics and Numerical Analysis Appl.Mathematics/Computational Methods of Engineering Informatik Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 https://doi.org/10.1007/978-1-4613-3338-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Li, Zi Cai Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities Mathematics Computer science / Mathematics Engineering mathematics Computational Mathematics and Numerical Analysis Appl.Mathematics/Computational Methods of Engineering Informatik Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4014485-9 |
| title | Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities |
| title_auth | Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities |
| title_exact_search | Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities |
| title_full | Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities by Zi Cai Li |
| title_fullStr | Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities by Zi Cai Li |
| title_full_unstemmed | Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities by Zi Cai Li |
| title_short | Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities |
| title_sort | combined methods for elliptic equations with singularities interfaces and infinities |
| topic | Mathematics Computer science / Mathematics Engineering mathematics Computational Mathematics and Numerical Analysis Appl.Mathematics/Computational Methods of Engineering Informatik Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd |
| topic_facet | Mathematics Computer science / Mathematics Engineering mathematics Computational Mathematics and Numerical Analysis Appl.Mathematics/Computational Methods of Engineering Informatik Mathematik Numerisches Verfahren Elliptische Differentialgleichung |
| url | https://doi.org/10.1007/978-1-4613-3338-8 |
| work_keys_str_mv | AT lizicai combinedmethodsforellipticequationswithsingularitiesinterfacesandinfinities |