10:30 AM-12:30 PM
"Cartesian grid methods" are becoming increasingly popular for solving partial differential equations in more than one space dimension on uniform Cartesian grids (perhaps adaptively refined) even when the underlying geometry is complex and not aligned with the grid. This has a number of advantages over other approaches such as body-fitted grids or unstructured triangulations, particularly for problems in three space dimensions, or where there is a moving/deforming boundary or interface. The difficulties of grid generation are largely avoided while accurate and efficient methods are easily applied over most of the grid, provided the boundary or interface conditions can be properly imposed. This minisymposium presents a spectrum of different approaches to this problem on a variety of applications.
This is an active area of research, with ties to many different applications areas represented in SIAM. We expect a very interesting exchange of ideas through this minisymposium.
Organizers: Randall J. LeVeque, University of Washington; and Marsha J. Berger, Courant Institute of Mathematical Sciences, New York University
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