Adaptive Moving Mesh Methods

• Κύριοι συγγραφείς: Huang, Weizhang (Συγγραφέας), Russell, Robert D. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2011.
• Σειρά: Applied Mathematical Sciences, 174
• Θέματα: Mathematics.; Partial differential equations.; Computer mathematics.; Numerical analysis.; Numerical Analysis.; Computational Mathematics and Numerical Analysis.; Partial Differential Equations.

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...

Πίνακας περιεχομένων:

• 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.