1. Parametric finite elements, exact sequences and perfectly matched layers.
- Author
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Matuszyk, Pawel and Demkowicz, Leszek
- Subjects
- *
FINITE element method , *MATHEMATICAL sequences , *BILINEAR forms , *PARAMETER estimation , *MATHEMATICAL analysis , *MATHEMATICAL mappings - 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]
- Published
- 2013
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