Integration of hp-Adaptivity and a Two Grid Solver. II. Electromagnetic Problems

Abstract

We present implementation details and analyze convergence of a two-grid solver forming the core of a fully-automatic hp-adaptive strategy for electromagnetic problems. The solver delivers a solution for a fine grid obtained from an arbitrary coarse hp grid by a global hp-refinement. The classical V-cycle algorithm combines an overlapping Block-Jacobi smoother with optimal relaxation, and a direct solve on the coarse grid. A theoretical analysis of the two grid solver is illustrated with numerical experiments. Several electromagnetic applications show the efficiency of combining the fully automatic hp-adaptive strategy with the two grid solver. This paper is a continuation of "Integration of hp-adaptivity with a two grid solver for elliptic problems," by D. Pardo and L. Demkowicz, 2002.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2005
Accession Number
ADA441274

Entities

People

  • D. Pardo
  • J. Gopalakrishnan
  • L. Demkowicz

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Automatic
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • Electric Fields
  • Electromagnetic Fields
  • Equations
  • Frequency
  • Geometry
  • Helmholtz Equations
  • Linear Systems
  • Magnetic Fields
  • Materials
  • Partial Differential Equations
  • Scattering
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)