Mesh Enhancement: Selected Elliptic Methods, Foundations and Applications

Glen A. Hansen

ISBN 10: 1860944876 / ISBN 13: 9781860944871

Published by Imperial College Press, 2005

About this Item

Leichte Kratzer / Abnutzungen / Druckstellen. This book focuses on mesh (grid) enhancement techniques -- specifically, the use of selected elliptic methods for both structured and unstructured meshes associated with computational physics applications. Mesh enhancement is the process in which an existing mesh is modified to better meet the requirements of the physics application. To provide the reader with sufficient background information, seven of the nine chapters contain a summary of the numerical simulation process, basic background on mesh terminology and generation approaches, computational geometry, discretization of differential equations, methods of solving linear and nonlinear algebraic systems, geometry of surfaces in Euclidean space, and general elliptic methods for mesh enhancement. Furthermore, these chapters use the concept of harmonic coordinates to develop a unifying framework, the Laplace-Beltrami system, which is the governing principle of the book. The final two chapters apply this scheme, along with other selected elliptic methods, to various structured and unstructured example problems.

Seller Inventory # 1db75ca2-cbad-432f-81e8-7c36b25ee751

Bibliographic Details

• Title: Mesh Enhancement: Selected Elliptic Methods, Foundations and Applications
• Publisher: Imperial College Press
• Publication Date: 2005
• Language: English
• ISBN 10: 1860944876
• ISBN 13: 9781860944871
• Binding: Hardcover
• Condition: As New

About this title

Synopsis

This book focuses on mesh (grid) enhancement techniques -- specifically, the use of selected elliptic methods for both structured and unstructured meshes associated with computational physics applications. Mesh enhancement is the process in which an existing mesh is modified to better meet the requirements of the physics application. To provide the reader with sufficient background information, seven of the nine chapters contain a summary of the numerical simulation process, basic background on mesh terminology and generation approaches, computational geometry, discretization of differential equations, methods of solving linear and nonlinear algebraic systems, geometry of surfaces in Euclidean space, and general elliptic methods for mesh enhancement. Furthermore, these chapters use the concept of harmonic coordinates to develop a unifying framework, the Laplace-Beltrami system, which is the governing principle of the book. The final two chapters apply this scheme, along with other selected elliptic methods, to various structured and unstructured example problems.