Computational Mechanics

, Volume 51, Issue 1, pp 35–45

Parametric finite elements, exact sequences and perfectly matched layers


    • Center for Petroleum and Geosystems EngineeringThe University of Texas at Austin
    • Department of Applied Computer Science and ModelingAGH University of Science and Technology
  • Leszek F. Demkowicz
    • Institute for Computational Engineering and Sciences (ICES)The University of Texas at Austin
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