Discrete stability of perfectly matched layers for anisotropic wave equations in first- and second-order formulation

DOI10.1007/S10543-013-0426-4zbMath1276.65051OpenAlexW2039696535MaRDI QIDQ369403

Gunilla Kreiss, Kenneth Duru

Publication date: 24 September 2013

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-013-0426-4

zbMATH Keywords

wave equationnumerical examplesperfectly matched layerscentral finite difference discretizationdiscrete stability

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (3)

High-order full discretization for anisotropic wave equations ⋮ The Role of Numerical Boundary Procedures in the Stability of Perfectly Matched Layers ⋮ The double absorbing boundary method for a class of anisotropic elastic media

Cites Work

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• Long-time performance of unsplit pmls with explicit second order schemes
• Application of a perfectly matched layer to the nonlinear wave equation
• High-order absorbing boundary conditions for anisotropic and convective wave equations
• A perfectly matched layer for the absorption of electromagnetic waves
• Stability of perfectly matched layers, group velocities and anisotropic waves.
• The analysis of matched layers
• Perfectly matched layers for Maxwell's equations in second order formulation
• A new absorbing layer for elastic waves
• Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability
• Complete Radiation Boundary Conditions for Convective Waves
• A Well-Posed and Discretely Stable Perfectly Matched Layer for Elastic Wave Equations in Second Order Formulation
• The Lax conjecture is true

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