A nonlinear approach to absorbing boundary conditions for the semilinear wave equation

DOI10.1090/S0025-5718-06-01820-5zbMath1092.35065OpenAlexW2028172193MaRDI QIDQ3376985

Jérémie Szeftel

Publication date: 27 March 2006

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-06-01820-5

zbMATH Keywords

semilinear wave equationnumerical examplesabsorbing boundary conditionparadifferential calculuspseudodifferential calculus

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)

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Cites Work

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• A perfectly matched layer for the absorption of electromagnetic waves
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• Design of Absorbing Boundary Conditions for Schrödinger Equations in $\mathbbR$^d
• Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation
• Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions
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