Spectral Element Multigrid. Part 2. Theoretical Justification

Abstract

We analyze here a multigrid algorithm used for solving iteratively the algebraic system resulting from the approximation of a second order problem by spectral or spectral element methods. The analysis, performed here in the one dimensional case, justifies the good smoothing properties of the Jacobi preconditioner.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1988
Accession Number
ADA203560

Entities

People

  • Rafael Munoz
  • Yvon Maday

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Finite Element Analysis
  • Fluid Dynamics
  • Mechanics
  • Navier Stokes Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Polynomials
  • Precision
  • Theorems

Fields of Study

  • Mathematics
  • Physics

Readers

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