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Finite Element Methods for Geometric Problems
Chris Tiee
UCSD
Abstract:
The Finite Element Exterior Calculus (FEEC) has been useful for the numerical solution of elliptic PDEs that more properly accounts for the geometric and topological structures, leading to better numerical stability. Our principal goal is to examine how these methods can be extended to evolutionary problems on manifolds, primarily in the parabolic case. We do, however, describe the interesting issues that a hyperbolic generalization poses.
Tuesday, November 4, 2014
11:00AM AP&M 2402
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Directors:
Randolph E. Bank
Philip E. Gill
Michael Holst
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Randolph E. Bank
Philip E. Gill
Michael Holst
Administrative Contact:
[ Click to Send Email ]
Chris Tiee
UCSD
Abstract:
The Finite Element Exterior Calculus (FEEC) has been useful for the numerical solution of elliptic PDEs that more properly accounts for the geometric and topological structures, leading to better numerical stability. Our principal goal is to examine how these methods can be extended to evolutionary problems on manifolds, primarily in the parabolic case. We do, however, describe the interesting issues that a hyperbolic generalization poses.
Tuesday, November 4, 2014
11:00AM AP&M 2402