Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities: 444 - Rilegato
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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.
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Contenuti
Preface. Introduction. Part I: Singularities, Treatments and Combinations. 1. Different Numerical Methods. 2. Singularities and Treatments. Part II: Combined Methods. 3. Boundary Approximation Methods. 4. Combinations of RGM and FEM. 5. Combinations of Various FEMs. Part III: Coupling Techniques. 6. Lagrange Multipliers and Other Coupling Techniques. 7. Penalty Techniques. 8. Simplified Hybrid Methods. 9. Penalty Plus Hybrid Techniques. 10. Optimal Combinations for Various FEMs. 11. Combinations of RGM and FDM. Part IV: Applications and Advances Topics. 12. Crack-Infinity Problem. 13. Wind Flow Over Buildings. 14. Global Superconvergence in Combinations. 15. Iterative Substructing Methods. 16. Schwarz Alternating Method. Epilogue. Reference. Glossary of Symbols. Index.
Product Description
Book by Zi Cai Li
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Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities (Mathematics and Its Applications, 444)
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 inst. Codice articolo 5968474
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Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities
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Springer US, Springer US Mai 1998, 1998
ISBN 10: 0792350847
ISBN 13: 9780792350842
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 508 pp. Englisch. Codice articolo 9780792350842
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Buch. Condizione: Neu. Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities | Zi Cai Li | Buch | xxiv | Englisch | 1998 | Springer US | EAN 9780792350842 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 102550466
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9780792350842
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