Perfectly matched layers in 1-D: Energy decay for continuous and semi-discrete waves

DOI10.1007/s00211-008-0153-yzbMath1148.65070OpenAlexW2006538615MaRDI QIDQ937234

Enrique Zuazua, Sylvain Ervedoza

Publication date: 20 August 2008

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-008-0153-y

zbMATH Keywords

wave equationsemidiscretizationmethod of perfectly matched layers

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (12)

Spectral conditions for admissibility and observability of wave systems: applications to finite element schemes ⋮ Optimizing perfectly matched layers in discrete contexts ⋮ Analysis of an observer strategy for initial state reconstruction of wave-like systems in unbounded domains ⋮ On the observability of time-discrete conservative linear systems ⋮ Observability properties of a semi-discrete 1d wave equation derived from a mixed finite element method on nonuniform meshes ⋮ IMPROVING CONVERGENCE IN NUMERICAL ANALYSIS USING OBSERVERS — THE WAVE-LIKE EQUATION CASE ⋮ Perfectly matched layers for time-harmonic second order elliptic problems ⋮ Uniform Exponential Decay for Viscous Damped Systems* ⋮ Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using a finite-difference method ⋮ Uniformly exponentially stable approximations for a class of damped systems ⋮ Energy decay and stability of a perfectly matched layer for the wave equation ⋮ Boundary Stabilization of Numerical Approximations of the 1-D Variable Coefficients Wave Equation: A Numerical Viscosity Approach

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