Dirichlet to Neumann map for domains with corners and approximate boundary conditions

DOI10.1016/j.cam.2006.03.031zbMath1117.35318OpenAlexW2100862413MaRDI QIDQ883489

Olivier Lafitte, Laurence Halpern

Publication date: 4 June 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.03.031

zbMATH Keywords

Dirichlet to Neumann mapwedgeFourier integral operatorabsorbing conditionFBE method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (3)

Coupling BEM with FEM by a direct computation of the boundary stiffness matrix ⋮ Asymptotic expansions of the Helmholtz equation solutions using approximations of the Dirichlet to Neumann operator ⋮ Corners and stable optimized domain decomposition methods for the Helmholtz problem

Cites Work

• Unnamed Item
• Unnamed Item
• A perfectly matched layer for the absorption of electromagnetic waves
• Absorbing boundary conditions for diffusion equations
• The wave diffracted by a wedge with mixed boundary conditions
• Diffusion D'Une Onde Par un Coin
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Un résultat d'existence et d'unicité pour l'équation de Helmholtz avec conditions aux limites absorbantes d'ordre
• General edge asymptotics of solutions of second-order elliptic boundary value problems I
• On the Stability Analysis of Boundary Conditions for the Wave Equation by Energy Methods. Part I: The Homogeneous Case
• Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation
• Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions

This page was built for publication: Dirichlet to Neumann map for domains with corners and approximate boundary conditions