Computational Mechanics

, Volume 51, Issue 1, pp 35–45

Parametric finite elements, exact sequences and perfectly matched layers

Open AccessOriginal Paper

DOI: 10.1007/s00466-012-0702-1

Cite this article as:
Matuszyk, P.J. & Demkowicz, L.F. Comput Mech (2013) 51: 35. doi:10.1007/s00466-012-0702-1


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 H1-, H(curl)-, H(div)-, and L2-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.


Exact sequencePerfectly matched layerParametric element
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© The Author(s) 2012

Authors and Affiliations

  1. 1.Center for Petroleum and Geosystems EngineeringThe University of Texas at AustinAustinUSA
  2. 2.Department of Applied Computer Science and ModelingAGH University of Science and TechnologyKrakówPoland
  3. 3.Institute for Computational Engineering and Sciences (ICES)The University of Texas at AustinAustinUSA