Dispersion properties of explicit finite element methods for wave propagation modelling on tetrahedral meshes

DOI10.1007/s10915-018-0709-7zbMath1407.65190arXiv1802.10333OpenAlexW2789183154WikidataQ57880032 ScholiaQ57880032MaRDI QIDQ1632263

Y. Aharonov

Publication date: 13 December 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.10333

zbMATH Keywords

wave equationdiscontinuous Galerkin methodmass lumpingtetrahedral meshdispersion analysisexplicit finite element method

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Nonlinear waves in solid mechanics (74J30) Hydro- and aero-acoustics (76Q05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

A new family of high‐order triangular weight functions for mass lumping in vibration analysis ⋮ Efficient Quadrature Rules for Computing the Stiffness Matrices of Mass-Lumped Tetrahedral Elements for Linear Wave Problems ⋮ New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling ⋮ Doubling the Convergence Rate by Pre- and Post-Processing the Finite Element Approximation for Linear Wave Problems

Uses Software

• TetGen

Cites Work

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• Dispersion analysis of the spectral element method using a triangular mesh
• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Finite element mass matrix lumping by numerical integration with no convergence rate loss
• Spurious modes in finite-element discretizations of the wave equation may not be all that bad
• Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation
• An analysis of the discontinuous Galerkin method for wave propagation problems
• Spectral element method for acoustic wave simulation in heterogeneous media
• On the constants in \(hp\)-finite element trace inverse inequalities.
• Higher-order triangular spectral element method with optimized cubature points for seismic wavefield modeling
• An explicit expression for the penalty parameter of the interior penalty method
• Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
• Dispersion analysis of discontinuous Galerkin method on triangular mesh for elastic wave equation
• Estimation of penalty parameters for symmetric interior penalty Galerkin methods
• Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
• Finite element approximation of eigenvalue problems
• High Order Mass-Lumping Finite Elements on Simplexes
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
• Sharp Penalty Term and Time Step Bounds for the Interior Penalty Discontinuous Galerkin Method for Linear Hyperbolic Problems
• Discontinuous Galerkin Finite Element Method for the Wave Equation
• Difference schemes for hyperbolic equations with high order of accuracy
• High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation

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