Hyperbolic boundary value problems with trihedral corners

DOI10.3934/dcds.2016.36.4403zbMath1336.35217OpenAlexW4301459449MaRDI QIDQ262111

Jeffrey Rauch, Laurence Halpern

Publication date: 29 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.4403

zbMATH Keywords

Bérenger's layersnumerical methods with artificial boundariesstrictly dissipative boundariessymmetric hyperbolic systemstrihedral angle

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial-boundary value problems for first-order hyperbolic systems (35L50) Maxwell equations (35Q61) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (6)

Strictly Dissipative Nonuniqueness with Corners ⋮ Boundary conditions for constrained hyperbolic systems of partial differential equations ⋮ At the interface between semiclassical analysis and numerical analysis of wave scattering problems. Abstracts from the workshop held September 25 -- October 1, 2022 ⋮ Boundary layers for the subcritical modes of the 3D primitive equations in a cube ⋮ Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations ⋮ Strictly dissipative boundary value problems at trihedral corners

Cites Work

• Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions
• The linear hyperbolic initial and boundary value problems in a domain with corners
• Interface and mixed boundary value problems on \(n\)-dimensional polyhedral domains
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Partial differential equations. II: Qualitative studies of linear equations
• Geometrical optics and the corner problem
• A perfectly matched layer for the absorption of electromagnetic waves
• A mathematical analysis of the PML method
• The inhomogeneous Dirichlet problem in Lipschitz domains
• The analysis of matched layers
• An ill posed problem for a hyperbolic equation near a corner
• Local boundary conditions for dissipative symmetric linear differential operators
• Symmetric Positive Systems with Boundary Characteristic of Constant Multiplicity
• The Neumann problem on Lipschitz domains
• Coercive inequalities for nonelliptic symmetric systems
• Caractère bien posé du problème de Cauchy pour le système de Bérenger
• Strictly Dissipative Nonuniqueness with Corners
• On weak and strong solutions of boundary value problems
• On the wave equation in a multi‐dimensional corner
• Initial-Boundary Value Problems for Hyperbolic Systems in Regions with Corners. I
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