Grid Generation and Adaptive Algorithms
Editors: Bern, Marshall W., Flaherty, Joseph E., Luskin, Mitchell (Eds.)
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- About this book
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This IMA Volume in Mathematics and its Applications GRID GENERATION AND ADAPTIVE ALGORITHMS is based on the proceedings of a workshop with the same title. The work shop was an integral part of the 1996-97 IMA program on "MATHEMAT ICS IN HIGH-PERFORMANCE COMPUTING. " I would like to thank Marshall Bern (Xerox, Palo Alto Research Cen ter), Joseph E. Flaherty (Department of Computer Science, Rensselaer Polytechnic Institute), and Mitchell Luskin (School of Mathematics, Uni versity of Minnesota), for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda tion (NSF), Department of Energy (DOE), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr. , Professor and Director v PREFACE Scientific and engineering computation has become so complex that traditional numerical computation on uniform meshes is generally not pos sible or too expensive. Mesh generation must reflect both the domain geometry and the expected solution characteristics. Meshes should, fur thermore, be related to the solution through computable estimates of dis cretization errors. This, suggests an automatic and adaptive process where an initial mesh is enriched with the goal of computing a solution with prescribed accuracy specifications in an optimal manner. While automatic mesh generation procedures and adaptive strategies are becoming available, major computational challenges remain. Three-dimensional mesh genera tion is still far from automatic.
- Table of contents (10 chapters)
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hp-Finite Element Procedures on Non-Uniform Geometric Meshes: Adaptivity and Constrained Approximation
Pages 1-27
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Tetrahedral Bisection and Adaptive Finite Elements
Pages 29-42
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Resolution of Boundary Layers on Triangular Meshes
Pages 43-49
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A General Concept of Adaptivity in Finite Element Methods with Applications to Problems in Fluid and Structural Mechanics
Pages 51-75
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A Solution Based H 1 Norm Triangular Mesh Quality Indicator
Pages 77-88
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Grid Generation and Adaptive Algorithms
- Editors
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- Marshall W. Bern
- Joseph E. Flaherty
- Mitchell Luskin
- Series Title
- The IMA Volumes in Mathematics and its Applications
- Series Volume
- 113
- Copyright
- 1999
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer Science+Business Media New York
- eBook ISBN
- 978-1-4612-1556-1
- DOI
- 10.1007/978-1-4612-1556-1
- Softcover ISBN
- 978-1-4612-7191-8
- Series ISSN
- 0940-6573
- Edition Number
- 1
- Number of Pages
- IX, 189
- Topics
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