A fourth-order energy for the three-dimensional wave equation with second-order absorbing boundary conditions

DOI10.1016/S0893-9659(00)00189-0zbMath0980.35086WikidataQ127724740 ScholiaQ127724740MaRDI QIDQ5938954

Wonkyu Sohn, Dongwoo Sheen

Publication date: 7 August 2001

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

zbMATH Keywords

corner singularitiesacoustic wave equationdecay behaviour

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

• Absorbing boundary conditions for diffusion equations
• Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
• Numerical Absorbing Boundary Conditions for the Wave Equation
• Artificial Boundary Conditions for Incompletely Parabolic Perturbations of Hyperbolic Systems
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Radiation boundary conditions for acoustic and elastic wave calculations
• Absorbing boundary conditions for electromagnetic wave propagation
• Second-Order Absorbing Boundary Conditions for the Wave Equation in a Rectangular Domain
• On the Stability Analysis of Boundary Conditions for the Wave Equation by Energy Methods. Part I: The Homogeneous Case
• Approximation of Electromagnetic Fields: Part I. Continuous Problems
• Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions
• Radiation Boundary Conditions for Elastic Wave Propagation

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