On an Adaptive Mesh Algorithm with Minimal Distance Control

Abstract

In this paper, we present a new technique for generating error equidistributing meshes that satisfy both local quasi-uniformity and a preset minimal mesh spacing. This is firstly done in the one-dimensional case by extending the Kautsky and Nichols method and then in the two-dimensional case by generalizing the tensor product methods to alternating curved line equidistributions. With the new meshing approach, we have achieved better accuracy in approximation using interpolatory radial basis functions (RBFs). Furthermore improved accuracy in numerical results have been obtained for a class of linear and non-homogeneous PDEs solved by the dual reciprocity method (DRM).

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADP013720

Entities

People

  • Kamal Shanazari
  • Ke Chen

Organizations

  • University of Liverpool

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Dimensionality Reduction
  • Education
  • Equations
  • Errors
  • Grids
  • Interpolation
  • Technical Information Centers

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Inertial Navigation Systems.

Technology Areas

  • Space