Efficient finite element method employing wavelet type basis functions

Luis Emilio Garcia Castillo, Tapan K. Sarkar, Magdalena Salazar Palma

Research output: Contribution to journalConference Articlepeer-review

1 Scopus citations

Abstract

The wavelet concept has been introduced in the applied mathematics literature as a new mathematical subject for performing localized time-frequency characterization. It is a versatile tool with very rich mathematical content and great potential for application. Because of this localized property both in the original and in the transform domain it is expected that its application to the numerical solution of partial differential equations would be quite interesting for electromagnetic field problems. In this paper this concept is explained with application to one dimension (ID) and two dimensions (2D) differential equations. Numerical examples have been presented showing the features of the method.

Original languageEnglish (US)
Pages (from-to)287-292
Number of pages6
JournalCOMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
Volume13
Issue numberSuppl A
StatePublished - May 1994
EventProceedings of the 2nd International Workshop on Finite Element Methods for Electromagnetic Wave Problems - Siena, Italy
Duration: May 24 1994May 26 1994

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Electrical and Electronic Engineering
  • Applied Mathematics

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