A non-uniform basis order for the discontinuous Galerkin method of the 3D dissipative wave equation with perfectly matched layer

DOI10.1016/j.jcp.2010.03.030zbMath1192.65129OpenAlexW2072681651WikidataQ116902905 ScholiaQ116902905MaRDI QIDQ982972

Timo Lähivaara, Tomi Huttunen

Publication date: 28 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.03.030

zbMATH Keywords

wave propagationdiscontinuous Galerkinperfectly matched layernon-uniform basis order

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Absorbing boundary conditions for nonlinear acoustics: the Westervelt equation, A discontinuous Galerkin method with plane waves for sound-absorbing materials, A unified higher-order unsplit CFS-PML technique for solving second-order seismic equations using discontinuous Galerkin method, A discontinuous Galerkin method for poroelastic wave propagation: the two-dimensional case, A modified and stable version of a perfectly matched layer technique for the 3-D second order wave equation in time domain with an application to aeroacoustics, Well-posedness of the Westervelt equation with higher order absorbing boundary conditions, A Hierarchical Preconditioner for Wave Problems in Quasilinear Complexity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media
• A non-uniform basis order for the discontinuous Galerkin method of the acoustic and elastic wave equations
• A discontinuous Galerkin method for the full two-fluid plasma model
• Spectral methods on triangles and other domains
• Finite element analysis of acoustic scattering
• An analysis of the discontinuous Galerkin method for wave propagation problems
• A perfectly matched layer for the absorption of electromagnetic waves
• Well-posed perfectly matched layers for advective acoustics
• Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
• High-order non-reflecting boundary scheme for time-dependent waves
• Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
• Optimizing the perfectly matched layer
• A discontinuous Galerkin method for two-temperature plasmas
• A time domain analysis of PML models in acoustics
• Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
• Space-time discontinuous Galerkin method for the compressible Navier--Stokes equations
• Symmetric positive linear differential equations
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
• A space-time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method
• COMPUTATIONAL ASPECTS OF THE DISCONTINUOUS GALERKIN METHOD FOR THE WAVE EQUATION
• High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem
• On the Long-Time Behavior of Unsplit Perfectly Matched Layers
• High-order nonreflecting boundary conditions without high-order derivatives
• A stable, perfectly matched layer for linearized Euler equations in unsplit physical variables