High order marching schemes for the wave equation in complex geometry

DOI10.1016/j.jcp.2004.01.021zbMath1052.65075OpenAlexW2062790708MaRDI QIDQ1877114

Jing-Rebecca Li, Leslie F. Greengard

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.01.021

zbMATH Keywords

numerical examplesfinite difference schemescomplex geometryStabilityWave equationexplicit marching schemesSmall cell

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Cites Work

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• Fast evaluation of three-dimensional transient wave fields using diagonal translation operators
• An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies
• An accuracy assessment of Cartesian-mesh approaches for the Euler equations
• Strongly consistent marching schemes for the wave equation
• Stable, high-order discretization for evolution of the wave equation in 1 + 1 dimensions.
• An integral evolution formula for the wave equation
• Fast evaluation of two-dimensional transient wave fields
• A large Time Step Generalization of Godunov’s Method for Systems of Conservation Laws
• Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation
• A fast time-domain finite element-boundary integral method for electromagnetic analysis
• Difference Approximations for the Second Order Wave Equation
• Convergent Cartesian grid methods for Maxwell's equations in complex geometries.