Building Adaptive Multiresolution Schemes within Harten's Framework

Abstract

We consider the cell-average framework described by A. Harten in 5, and build the prediction operator using two nonlinear interpolation techniques. We test the resulting nonlinear, adaptive, multiresolution scheme, and compare it with a linear scheme of the same accuracy. The nonlinear prediction processes we develop can also be used in the context of iterative refinement. Numerical tests show that this is also a viable alternative for piecewise smooth data.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP011969

Entities

People

  • Francesc Arandiga
  • Rosa Donat

Organizations

  • University of Valencia

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Coding
  • Coefficients
  • Compression
  • Computer-Aided Design
  • Data Compression
  • Decoding
  • Discontinuities
  • Efficiency
  • Errors
  • Interpolation
  • Numerical Analysis
  • Polynomials
  • Technical Information Centers
  • Two Dimensional

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)