On the stability of the high-order Higdon absorbing boundary conditions

DOI10.1016/j.apnum.2011.01.010zbMath1218.65095OpenAlexW2049691044MaRDI QIDQ716060

Daniel Baffet, Dan Givoli

Publication date: 19 April 2011

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.01.010

zbMATH Keywords

stabilitywave equationabsorbing boundary conditionwell-posednessenergy-stabilityHigdon sequence

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (8)

Compact high order schemes with gradient-direction derivatives for absorbing boundary conditions ⋮ A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell's equations ⋮ Improving the performance of Higdon non-reflecting boundary conditions by using weighted differencing ⋮ A finite element scheme with a high order absorbing boundary condition for elastodynamics ⋮ A Higdon-like non-reflecting boundary condition for the Klein-Gordon equation with evanescent waves ⋮ Long-time stable high-order absorbing boundary conditions for elastodynamics ⋮ Optimized first-order absorbing boundary conditions for anisotropic elastodynamics ⋮ Hybrid absorbing scheme based on hyperelliptical layers with non-reflecting boundary conditions in scalar wave equations

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