Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation

Daniel H. Baffet (1) , Marcus J. Grote (1) , Sébastien Imperiale (2, 3) , Maryna Kachanovska (4)

1 Department of Mathematics [Basel]
2 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
3 Université Paris-Saclay
4 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

In [25, 26], a PML formulation was proposed for the wave equation in its standard second-order form. Here, energy decay and L 2 stability bounds in two and three space dimensions are rigorously proved both for continuous and discrete formulations. Numerical results validate the theory.

Domaines: Mathématiques [math]; Analyse numérique [math.NA]

Daniel H. Baffet, Marcus J. Grote, Sébastien Imperiale, Maryna Kachanovska. Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation. 2018. ⟨hal-01865484v1⟩