The Least-Squares Finite Element Method Theory and Applications in Computational Fluid Dynamics and Electromagnetics
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1998
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| Schriftenreihe: | Scientific Computation
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| Schlagworte: | |
| Online-Zugang: | Volltext |
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| 020 | |a 9783642083679 |c Print |9 978-3-642-08367-9 | ||
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| 100 | 1 | |a Jiang, Bo-nan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The Least-Squares Finite Element Method |b Theory and Applications in Computational Fluid Dynamics and Electromagnetics |c by Bo-nan Jiang |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1998 | |
| 300 | |a 1 Online-Ressource (XVI, 418 p) | ||
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| 490 | 0 | |a Scientific Computation |x 1434-8322 | |
| 500 | |a This is the first book devoted to the least-squares finite element method (LSFEM), which is a simple, efficient and robust technique for the numerical solution of partial differential equations. The book demonstrates that the LSFEM can solve a broad range of problems in fluid dynamics and electromagnetics with only one mathematical/computational formulation. The book shows that commonly adopted special treatments in computational fluid dynamics and computational electromagnetics, such as upwinding, numerical dissipation, staggered grid, non-equal-order elements, operator splitting and preconditioning, edge elements, vector potential, and so on, are unnecessary. This book introduces the basic theory of the least-squares method for first-order PDE systems, particularly the div-curl system and the div-curl-grad system. It is applied to the study of permissible boundary conditions for the incompressible Navier--Stokes equations, to show that the divergence equations in the Maxwell equations are not redundant, and to derive equivalent second-order versions of the Navier--Stokes equations and the Maxwell equations. This book covers diverse applications such as incompressible viscous flows, rotational inviscid flows, low- or high-Mach-number compressible flows, two-fluid flows, convective flows, and scattering waves | ||
| 650 | 4 | |a Physics | |
| 650 | 4 | |a Computer science | |
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Datensatz im Suchindex
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|---|---|
| _version_ | 1820853338701299713 |
| any_adam_object | |
| author | Jiang, Bo-nan |
| author_facet | Jiang, Bo-nan |
| author_role | aut |
| author_sort | Jiang, Bo-nan |
| author_variant | b n j bnj |
| building | Verbundindex |
| bvnumber | BV042414268 |
| classification_tum | PHY 000 |
| collection | ZDB-2-PHA ZDB-2-BAE |
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| dewey-full | 530.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1 |
| dewey-search | 530.1 |
| dewey-sort | 3530.1 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1007/978-3-662-03740-9 |
| format | Electronic eBook |
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| id | DE-604.BV042414268 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T04:23:09Z |
| institution | BVB |
| isbn | 9783662037409 9783642083679 |
| issn | 1434-8322 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027849761 |
| oclc_num | 863894220 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | 1 Online-Ressource (XVI, 418 p) |
| psigel | ZDB-2-PHA ZDB-2-BAE ZDB-2-PHA_Archive |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Scientific Computation |
| spellingShingle | Jiang, Bo-nan The Least-Squares Finite Element Method Theory and Applications in Computational Fluid Dynamics and Electromagnetics Physics Computer science Mathematical optimization Numerical and Computational Physics Calculus of Variations and Optimal Control; Optimization Computational Science and Engineering Optics and Electrodynamics Fluid- and Aerodynamics Informatik |
| title | The Least-Squares Finite Element Method Theory and Applications in Computational Fluid Dynamics and Electromagnetics |
| title_auth | The Least-Squares Finite Element Method Theory and Applications in Computational Fluid Dynamics and Electromagnetics |
| title_exact_search | The Least-Squares Finite Element Method Theory and Applications in Computational Fluid Dynamics and Electromagnetics |
| title_full | The Least-Squares Finite Element Method Theory and Applications in Computational Fluid Dynamics and Electromagnetics by Bo-nan Jiang |
| title_fullStr | The Least-Squares Finite Element Method Theory and Applications in Computational Fluid Dynamics and Electromagnetics by Bo-nan Jiang |
| title_full_unstemmed | The Least-Squares Finite Element Method Theory and Applications in Computational Fluid Dynamics and Electromagnetics by Bo-nan Jiang |
| title_short | The Least-Squares Finite Element Method |
| title_sort | the least squares finite element method theory and applications in computational fluid dynamics and electromagnetics |
| title_sub | Theory and Applications in Computational Fluid Dynamics and Electromagnetics |
| topic | Physics Computer science Mathematical optimization Numerical and Computational Physics Calculus of Variations and Optimal Control; Optimization Computational Science and Engineering Optics and Electrodynamics Fluid- and Aerodynamics Informatik |
| topic_facet | Physics Computer science Mathematical optimization Numerical and Computational Physics Calculus of Variations and Optimal Control; Optimization Computational Science and Engineering Optics and Electrodynamics Fluid- and Aerodynamics Informatik |
| url | https://doi.org/10.1007/978-3-662-03740-9 |
| work_keys_str_mv | AT jiangbonan theleastsquaresfiniteelementmethodtheoryandapplicationsincomputationalfluiddynamicsandelectromagnetics |