Details

Autor(en) / Beteiligte

• Babuska, Ivo
• Henshaw, William D
• Oliger, Joseph E
• Flaherty, Joseph E
• Hopcroft, John E
• Tezduyar, Tayfun

Titel

Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations [Elektronische Ressource]

Ist Teil von

• The IMA Volumes in Mathematics and its Applications : 75

Ort / Verlag

New York, NY : Springer New York

Erscheinungsjahr

1995

Link zum Volltext

• Volltext

Link zu anderen Inhalten

• Volltext

Beschreibungen/Notizen

• This IMA Volume in Mathematics and its Applications MODELING, MESH GENERATION, AND ADAPTIVE NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of the 1993 IMA Summer Program "Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations." We thank Ivo Babuska, Joseph E. Flaherty, William D. Henshaw, John E. Hopcroft, Joseph E. Oliger, and Tayfun Tezduyar for organizing the workshop and editing the proceedings. We also take this opportunity to thank those agencies whose financial support made the summer program possible: the National Science Foundation (NSF), the Army Research Office (ARO) the Department of Energy (DOE), the Minnesota Supercomputer Institute (MSI), and the Army High Performance Computing Research Center (AHPCRC). A vner Friedman Willard Miller, Jr. xiii PREFACE Mesh generation is one of the most time consuming aspects of computational solutions of problems involving partial differential equations. It is, furthermore, no longer acceptable to compute solutions without proper verification that specified accuracy criteria are being satisfied. Mesh generation must be related to the solution through computable estimates of discretization errors. Thus, an iterative process of alternate mesh and solution generation evolves in an adaptive manner with the end result that the solution is computed to prescribed specifications in an optimal, or at least efficient, manner. While mesh generation and adaptive strategies are becoming available, major computational challenges remain. One, in particular, involves moving boundaries and interfaces, such as free-surface flows and fluid-structure interactions