Tuesday, July 23
Grid-generation algorithms often play an important role when one numerically solves partial differential equations in geometrically complex regions. There is a good intuitive understanding of how the methods work, but there is not yet a complete mathematical theory of grid generation.
Grid Generation and Applications (Part I of II)
The speakers will present recent developments in grid generation and its applications, including geometrical and solution-adaptive grids, variational grid generation, rational choice of parameters and weights, grid generation on curves and surfaces, grid alignment with vector fields, and the effect of grids on the error. They will discuss issues concerning what technique should be used to solve the algebraic equations (SOR, multigrid, conjugate gradient, etc.).
Organizers: Jose E. Castillo, San Diego State University; and Patrick M. Knupp, Ecodynamics Research Associates
Chair: Patrick Knupp
- 8:30 Direct Optimization Grid Generation
- Jose E. Castillo, San Diego State University
- 9:00 Adative Surface Grid Generation
- Ahmed Khamayseh, Los Alamos National Laboratory; and Jose Castillo, Organizer
- 9:30 Numerical Conformal Mapping and Grid Generation
- Thomas K. DeLillo, Wichita State University
- 10:00 Direct Optimization Grids Aligned with Vector Fields
- James S. Otto, Los Alamos National Laboratory