Accession Number:

ADP013720

Title:

On an Adaptive Mesh Algorithm with Minimal Distance Control

Descriptive Note:

Conference paper

Corporate Author:

LIVERPOOL UNIV (UNITED KINGDOM) DEPT OF MATHEMATICAL SCIENCES

Personal Author(s):

Report Date:

2001-07-01

Pagination or Media Count:

8.0

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.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE