Grid Generation and Adaptive Algorithms
1st Edition
Published on 1. July 1999
Book
Hardback
X, 181 pages
978-0-387-98858-0 (ISBN)
Description
The papers in this volume are based on lectures given at the IMA Workshop on Grid Generation and Adaptive Algorithms held during April 28 - May 2, 1997. Grid generation is a common feature of many computational tasks which require the discretization and representation of space and surfaces. The papers in this volume discuss how the geometric complexity of the physical object or the non-uniform nature of the solution variable make it impossible to use a uniform grid. Since an efficient grid requires knowledge of the computed solution, many of the papers in this volume treat how to construct grids that are adaptively computed with the solution. This volume will be of interest to computational scientists and mathematicians working in a broad variety of applications including fluid mechanics, solid mechanics, materials science, chemistry, and physics. Papers treat residual-based error estimation and adaptivity, repartitioning and load balancing for adaptive meshes, data structures and local refinement methods for conservation laws, adaptivity for hp-finite element methods, the resolution of boundary layers in high Reynolds number flow, adaptive methods for elastostatic contact problems, the full domain partition approach to parallel adaptive refinement, the adaptive solution of phase change problems, and quality indicators for triangular meshes. TOC:Foreword.- Preface.- hp-finite element procedures on non-uniform geometric meshes: Adaptivity and constrained approximation.- Tetrahedral bisection and adaptive finite elements.- Resolution of boundary layers on triangular meshes.- A general concept of adaptivity in finite element methods with applications to problems in fluid and structural mechanics.- A solution based H1 norm triangular mesh quality indicator.- Experiments with repartitioning and load balancing adaptive meshes.- Distributed octree data structures and local refinement method for the parallel solution of three-dimensional conservation laws.- Adaptive finite element methods for elastostatic contact problems.- The full domain partition approach to parallel adaptive refinement.- Adaptive solution of phase change problems over unstructured tetrahedral meshes
More details
Series
Edition
1., Ed.
Language
English
Place of publication
New York, NY
United States
Target group
Professional and scholarly
Mathematicians, numerical analysts, computer scientists, engineers
Product notice
sewn/stitched
Cloth over boards
Illustrations
78 figures
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 17 mm
Weight
477 gr
ISBN-13
978-0-387-98858-0 (9780387988580)
Schweitzer Classification
Other editions
Additional editions
Marshall W. Bern | Joseph E. Flaherty | Mitchell Luskin
Grid Generation and Adaptive Algorithms
Book
10/2012
Springer
€53.49
Shipment within 15-20 days
Content
Foreword; Preface; hp-finite element procedures on non-uniform geometric meshes: Adaptivity and constrained approximation; Tetrahedral bisection and adaptive finite elements; Resolution of boundary layers on triangular meshes; A general concept of adaptivity in finite element methods with applications to problems in fluid and structural mechanics; A solution based H1 norm triangular mesh quality indicator; Experiments with repartitioning and load balancing adaptive meshes; Distributed octree data structures and local refinement method for the parallel solution of three-dimensional conservation laws; Adaptive finite element methods for elastostatic contact problems; The full domain partition approach to parallel adaptive refinement; Adaptive solution of phase change problems over unstructured tetrahedral meshes.