Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation - Archive ouverte HAL Access content directly
Journal Articles Journal of Scientific Computing Year : 2019

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

Abstract

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.
Fichier principal
Vignette du fichier
pml.pdf (3.58 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01865484 , version 1 (03-09-2018)
hal-01865484 , version 2 (15-11-2019)

Identifiers

Cite

Daniel Henri Baffet, Marcus J. Grote, Sébastien Imperiale, Maryna Kachanovska. Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation. Journal of Scientific Computing, 2019, ⟨10.1007/s10915-019-01089-9⟩. ⟨hal-01865484v2⟩
311 View
331 Download

Altmetric

Share

Gmail Facebook X LinkedIn More