Adaptive Moving Mesh Methods (Applied Mathematical Sciences)
Weizhang, Huang, Russell, Robert D.
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 ... Read more
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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