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Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations (Paperback, Softcover reprint of the original 1st ed. 1995)
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Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations (Paperback, Softcover reprint of the original 1st ed. 1995)
Series: The IMA Volumes in Mathematics and its Applications, 75
Expected to ship within 10 - 15 working days
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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. Hen- shaw, John E. Hopcroft, Joseph E.
Oliger, and Tayfun Tezduyar for orga- nizing the workshop and
editing the proceedings. We also take this oppor- tunity to thank
those agencies whose financial support made the summer program
possible: the National Science Foundation (NSF), the Army Re-
search Office (ARO) the Department of Energy (DOE), the Minnesota
Su- percomputer 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 com- putational 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 gen- eration must be
related to the solution through computable estimates of
discretization errors. Thus, an iterative process of alternate mesh
and so- lution 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.
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