Adaptive moving mesh methods

Moving mesh methods are an effective, mesh-adaptation-based approach for the numerical solution of mathematical models of physical phenomena. Currently there exist three main strategies for mesh adaptation, namely, to use mesh subdivision,  local high order approximation (sometimes combined with mes...

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Príomhchruthaitheoirí: Huang, Weizhang, Russell, Robert D., mathématicien (Údar)
Formáid: Livre numérique
Teanga:Anglais
Foilsithe / Cruthaithe: New York, NY : Springer New York [20..].
Cham : Springer Nature
Eagrán:1st ed. 2011.
Sraith:Applied Mathematical Sciences 174
Ábhair:
Rochtain ar líne:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
Accès INSA CVL
Nóta: Description d'après consultation du 10 mai 2012
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Adaptive moving mesh methods, Weizhang Huang, Robert D. Russell, New York, Springer, 2011, 1 vol. (XVII-432 p.), Applied mathematical sciences, 978-1-4419-7915-5
• Adaptive moving mesh methods, Weizhang Huang, Robert D. Russell, New York, Springer, 2011, 1 vol. (XVII-432 p.), Applied mathematical sciences, 978-1-4419-7915-5
• Adaptive moving mesh methods, Weizhang Huang, Robert D. Russell, New York, Springer, 2011, 1 vol. (XVII-432 p.), Applied mathematical sciences, 978-1-4419-7915-5
• Adaptive Moving Mesh Methods, Texte imprimé, 9781441979179
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245 1 0 |a Adaptive moving mesh methods   |c Weizhang Huang, Robert D. Russell. 
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504 |a Bibliogr. p. 409-425 Index p. 428-431 
505 1 |a Preface Introduction Adaptive Mesh Movement in 1D Discretization of PDEs on Time-Varying Meshes Basic Principles of Multidimensional Mesh Adaption Monitor Functions Variational Mesh Adaptive Methods Velocity-Based Adaptive Methods Appendix: Sobolev Spaces Appendix: Arithmetic Mean Geometric Mean Inequality and Jensen's Inequality Bibliography 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a Moving mesh methods are an effective, mesh-adaptation-based approach for the numerical solution of mathematical models of physical phenomena. Currently there exist three main strategies for mesh adaptation, namely, to use mesh subdivision,  local high order approximation (sometimes combined with mesh subdivision), and mesh movement. The latter type of adaptive mesh method has been less well studied, both computationally and theoretically. This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems.  Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. The partial differential equations considered are mainly parabolic (diffusion-dominated, rather  than convection-dominated). The extensive bibliography provides an invaluable guide to the literature in this field. Each chapter contains useful exercises. Graduate students, researchers and practitioners working in this area will benefit from this book. Weizhang Huang is a Professor in the Department of Mathematics at the University of Kansas. Robert D. Russell is a Professor in the Department of Mathematics at Simon Fraser University 
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