Adaptive Wavelet Galerkin Methods on Distorted Domains: Setup of the Algebraic System

Abstract

We use the algorithm of Bertoluzza, Canuto and Urban for computing integrals of products (of derivatives) of wavelets in order to solve elliptic PDEs on 2D distorted domains. We construct a variant of the original method which turns out to be more efficient. Several numerical results are presented.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP011974

Entities

People

  • Karsten Urban
  • Stefano Berrone

Organizations

  • Polytechnic University of Turin

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Computations
  • Construction
  • Convergence
  • Differential Equations
  • Efficiency
  • Finite Element Analysis
  • Galerkin Method
  • Integrals
  • Linear Systems
  • Numerical Analysis
  • Partial Differential Equations
  • Stiffness
  • Technical Information Centers

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Image Processing and Computer Vision.