Premium
Improved vector FEM solutions of Maxwell's equations using grid pre‐conditioning
Author(s) -
White Daniel,
Rodrigue Garry
Publication year - 1997
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19971030)40:20<3815::aid-nme244>3.0.co;2-n
Subject(s) - finite element method , grid , smoothing , mathematics , maxwell's equations , minification , computer science , laplace operator , regular grid , mathematical optimization , mathematical analysis , geometry , engineering , structural engineering , computer vision
The Time Domain Vector Finite Element Method is a promising new approach for solving Maxwell's equations on unstructured triangular grids. This method is sensitive to the quality, or condition, of the grid. In this study grid pre‐conditioning techniques, such as edge swapping, Laplacian smoothing, and energy minimization, are shown to improve the accuracy of the solution and also reduce the overall computational effort. © 1997 John Wiley & Sons, Ltd.