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A-Posteriori Error Estimation for Hyperbolic Conservation Laws with ConstraintThis lecture considers a-posteriori error estimates for the numerical solution of conservation laws with time invariant constraints such as those arising in magnetohydrodynamics (MHD) and gravitational physics. Using standard duality arguments, a-posteriori error estimates for the discontinuous Galerkin finite element method are then presented for MHD with solenoidal constraint. From these estimates, a procedure for adaptive discretization is outlined. A taxonomy of Green's functions for the linearized MHD operator is given which characterizes the domain of dependence for pointwise errors. The extension to other constrained systems such as the Einstein equations of gravitational physics are then considered. Finally, future directions and open problems are discussed.
Document ID
20040081024
Acquisition Source
Ames Research Center
Document Type
Conference Paper
Authors
Barth, Timothy
(NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 21, 2013
Publication Date
January 1, 2004
Subject Category
Numerical Analysis
Meeting Information
Meeting: Workshop on "Hyperbolic Conservation Laws"
Location: Oberwolfach
Country: Germany
Start Date: April 4, 2004
End Date: April 10, 2004
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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