Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 235, Issue -, Pages 407-422Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2012.10.016
Keywords
Finite element method; Perfectly matched layer; Time-domain analysis
Funding
- Austrian Science Foundation (FWF) [I533-N20, P24970]
- Austrian Science Fund (FWF) [P24970] Funding Source: Austrian Science Fund (FWF)
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We consider the second order wave equation in an unbounded domain and propose an advanced perfectly matched layer (PML) technique for its efficient and reliable simulation. In doing so, we concentrate on the time domain case and use the finite-element (FE) method for the space discretization. Our un-split-PML formulation requires four auxiliary variables within the PML region in three space dimensions. For a reduced version (rPML), we present a long time stability proof based on an energy analysis. The numerical case studies and an application example demonstrate the good performance and long time stability of our formulation for treating open domain problems. (C) 2012 Elsevier Inc. All rights reserved.
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