Publikationsdatum:
2019-07-13
Beschreibung:
This 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.
Schlagwort(e):
Numerical Analysis
Materialart:
Workshop on "Hyperbolic Conservation Laws"; Apr 04, 2004 - Apr 10, 2004; Oberwolfach; Germany
Format:
text
