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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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.
Book by Zi Cai Li
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 508 pp. Englisch. Codice articolo 9781461333401
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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 4192497
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