High order full discretizations of coupled wave equations with absorbing boundary conditions and geometric integration

DOI10.1016/j.jcp.2014.01.046zbMath1349.35240OpenAlexW1999787678MaRDI QIDQ348956

A. M. Portillo, Isaías Alonso-Mallo

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.01.046

zbMATH Keywords

absorbing boundary conditionstime stabilitycoupled wave equationgeometric time integrationimplicit finite differences

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (4)

Time exponential splitting technique for the Klein-Gordon equation with Hagstrom-Warburton high-order absorbing boundary conditions ⋮ High order full discretizations of coupled wave equations with absorbing boundary conditions and geometric integration ⋮ Absorbing boundary conditions and geometric integration: a case study for the wave equation ⋮ Time exponential splitting integrator for the Klein-Gordon equation with free parameters in the Hagstrom-Warburton absorbing boundary conditions

Uses Software

• RODAS

Cites Work

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• High order full discretizations of coupled wave equations with absorbing boundary conditions and geometric integration
• A proof of the well posedness of discretized wave equation with an absorbing boundary condition
• Compact finite difference schemes with spectral-like resolution
• An easily implementable fourth-order method for the time integration of wave problems
• Numerical solution of problems on unbounded domains. A review
• Discrete transparent boundary conditions for Schrödinger-type equations
• A matrix d'Alembert formula for coupled wave initial value problems
• Discrete transparent boundary conditions for the numerical solution of Fresnel's equation
• On a one-dimensional bi-layer shallow-water problem.
• Discrete transparent boundary conditions for the Schrödinger equation on circular domains
• On the exchange of energy in coupled Klein --- Gordon equations
• High-order local non-reflecting boundary conditions: a review
• Conditional uniform time stable numerical solutions of coupled hyperbolic systems
• High-order local absorbing conditions for the wave equation: Extensions and improvements
• A discrete Fourier method for solving strongly coupled mixed hyperbolic problems
• Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
• Magnetohydrodynamic flow in an infinite channel
• Absorbing Boundary Conditions for the Discretization Schemes of the One-Dimensional Wave Equation
• Order Conditions for Canonical Runge–Kutta Schemes
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Discrete Absorbing Boundary Conditions for Schrödinger-Type Equations. Construction and Error Analysis
• Weak Ill-Posedness of Spatial Discretizations of Absorbing Boundary Conditions for Schrödinger-Type Equations
• Fast Convolution for Nonreflecting Boundary Conditions
• Geometric Numerical Integration

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