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Parametric finite elements, exact sequences and perfectly matched layers.
- Source :
-
Computational Mechanics . Jan2013, Vol. 51 Issue 1, p35-45. 11p. - Publication Year :
- 2013
-
Abstract
- The paper establishes a relation between exact sequences, parametric finite elements, and perfectly matched layer (PML) techniques. We illuminate the analogy between the Piola-like maps used to define parametric H-, H(curl)-, H(div)-, and L-conforming elements, and the corresponding PML complex coordinates stretching for the same energy spaces. We deliver a method for obtaining PML-stretched bilinear forms (constituting the new weak formulation for the original problem with PML absorbing boundary layers) directly from their classical counterparts. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01787675
- Volume :
- 51
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Computational Mechanics
- Publication Type :
- Academic Journal
- Accession number :
- 84403267
- Full Text :
- https://doi.org/10.1007/s00466-012-0702-1