The Least-Squares Finite Element Method: Theory and Applications in Computational Fluid Dynamics and Electromagnetics
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1998
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| Series: | Scientific Computation
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| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (XVI, 418 p) |
| ISBN: | 9783662037409 9783642083679 |
| ISSN: | 1434-8322 |
| DOI: | 10.1007/978-3-662-03740-9 |
Staff View
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Record in the Search Index
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| 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 | 2024-07-10T01:20:54Z |
| 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 | |
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| 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 |
| spelling | Jiang, Bo-nan Verfasser aut The Least-Squares Finite Element Method Theory and Applications in Computational Fluid Dynamics and Electromagnetics by Bo-nan Jiang Berlin, Heidelberg Springer Berlin Heidelberg 1998 1 Online-Ressource (XVI, 418 p) txt rdacontent c rdamedia cr rdacarrier Scientific Computation 1434-8322 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 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 https://doi.org/10.1007/978-3-662-03740-9 Verlag Volltext |
| 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 |