Fully Automatic, hp-Adaptive Simulations for Maxwell's Equations
Final rept. Dec 2000-Nov 2003
TEXAS UNIV AT AUSTIN DEPT OF MATHEMATICS AND INST OF COMPUTATIONAL ENGINEERING AND SCIENCES
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The report describes a computational and theoretical work toward developing a fully automatic hp-adaptive methodology for solving 3D time-harmonic Maxwell equations. The algorithm produces automatically a sequence of hp meshes that deliver exponential convergence. The optimal hp-refinements are identified by minimizing the projection based interpolation error of the solution obtained on a fine grid obtained by a global hp- refinement of a current coarse grid. The idea of the algorithm is very general and it applies to all discretizations forming the hp de Rham diagram - Hi- Hcurl-and Hdiv-conforming.
- Theoretical Mathematics