Fully Automatic, hp-Adaptive Simulations for Maxwell's Equations

Abstract

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- H(curl)-and H(div)-conforming.

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Document Details

Document Type
Technical Report
Publication Date
Mar 18, 2004
Accession Number
ADA422164

Entities

People

  • Leszek F. Demkowicz

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Applied Mathematics
  • Automatic
  • Computational Fluid Dynamics
  • Computational Mechanics
  • Computational Science
  • Engineering
  • Equations
  • Finite Element Analysis
  • Mathematical Models
  • Mathematics
  • Mechanics
  • Numerical Analysis
  • Simulations
  • Three Dimensional
  • Wave Propagation

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)
  • Graph Algorithms and Convex Optimization.