Perfectly matched layers for hyperbolic systems: General formulation, well-posedness and stability
2006 (English)In: SIAM Journal on Applied Mathematics, ISSN 0036-1399, E-ISSN 1095-712X, Vol. 67, no 1, 1-23 p.Article in journal (Refereed) Published
Since its introduction the perfectly matched layer (PML) has proven to be an accurate and robust method for domain truncation in computational electromagnetics. However, the mathematical analysis of PMLs has been limited to special cases. In particular, the basic question of whether or not a stable PML exists for arbitrary wave propagation problems remains unanswered. In this work we develop general tools for constructing PMLs for first order hyperbolic systems. We present a model with many parameters, which is applicable to all hyperbolic systems and which we prove is well-posed and perfectly matched. We also introduce an automatic method for analyzing the stability of the model and establishing energy inequalities. We illustrate our techniques with applications to Maxwell's equations, the linearized Euler equations, and arbitrary 2 x 2 systems in (2 + 1) dimensions.
Place, publisher, year, edition, pages
2006. Vol. 67, no 1, 1-23 p.
Perfectly matched layers, Stability, Computational methods, Euler equations, Mathematical models, Maxwell equations, Parameter estimation, Wave propagation, Computational electromagnetics, Hyperbolic systems, Mathematical analysis, Perfectly matched layers, Magnetoelectric effects
IdentifiersURN: urn:nbn:se:kth:diva-7436DOI: 10.1137/050639107ISI: 000243279300001ScopusID: 2-s2.0-33847744194OAI: oai:DiVA.org:kth-7436DiVA: diva2:12462
QC 20100830. Uppdaterad från Submitted till Published 20100830.2005-10-142005-10-142010-09-02Bibliographically approved