Second-Order Absorbing Boundary Conditions for the Wave Equation in a Rectangular Domain

DOI10.2307/2153242zbMath0790.65087OpenAlexW4243327607MaRDI QIDQ4274385

Dongwoo Sheen

Publication date: 23 June 1994

Full work available at URL: https://doi.org/10.2307/2153242

zbMATH Keywords

error estimatesfinite element methodscontinuous-time and discrete-time Galerkin schemesfirst-order symmetric dissipative hyperbolic system

Mathematics Subject Classification ID

Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (4)

Mathematical analysis of absorbing boundary conditions for the wave equation: the corner problem ⋮ Certain time-discrete dynamics problems with a singular parameter ⋮ Error analysis of the spectral element method with Gauss-Lobatto-Legendre points for the acoustic wave equation in heterogeneous media ⋮ A fourth-order energy for the three-dimensional wave equation with second-order absorbing boundary conditions

Cites Work

• Second-Order Absorbing Boundary Conditions for the Wave Equation: A Solution for the Corner Problem
• Symmetric Positive Systems with Boundary Characteristic of Constant Multiplicity
• Stable Galerkin Methods for Hyperbolic Systems
• Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
• Numerical Absorbing Boundary Conditions for the Wave Equation
• Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Radiation boundary conditions for acoustic and elastic wave calculations
• Generalized Finite-Difference Schemes

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