Lacunae based stabilization of PMLs

DOI10.1016/j.jcp.2008.04.018zbMath1145.65082OpenAlexW2110814648MaRDI QIDQ934128

H. Qasimov, Semyon V. Tsynkov

Publication date: 29 July 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://www.lib.ncsu.edu/resolver/1840.16/4820

zbMATH Keywords

wave propagationnumerical examplesHuygens' principleMaxwell's equationshyperbolicitylacunaed'Alembert equationlong-time stabilityartificial boundary conditions (ABCs)weak well-posednessperfectly matched layer (PML)

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (8)

The method of difference potentials for the Helmholtz equation using compact high order schemes ⋮ Long-time performance of unsplit pmls with explicit second order schemes ⋮ A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell's equations ⋮ Modeling open boundaries in dissipative MHD simulation ⋮ Computation of unsteady electromagnetic scattering about 3D complex bodies in free space with high-order difference potentials ⋮ Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials ⋮ A method of boundary equations for unsteady hyperbolic problems in 3D ⋮ The Role of Numerical Boundary Procedures in the Stability of Perfectly Matched Layers

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