Numerical solution of the acoustic wave equation using Raviart-Thomas elements

DOI10.1016/j.cam.2006.08.003zbMath1148.65076OpenAlexW2027293127MaRDI QIDQ2370594

Eleanor W. Jenkins

Publication date: 29 June 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.08.003

zbMATH Keywords

mixed finite elementsacoustic wave equation

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) 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) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Cites Work

• A priori estimates for mixed finite element methods for the wave equation
• Two families of mixed finite elements for second order elliptic problems
• Mixed finite elements in \(\mathbb{R}^3\)
• Discontinuous Galerkin finite element methods for second order hyperbolic problems
• Large-scale simulation of elastic wave propagation in heterogeneous media on parallel computers
• Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
• Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation
• Efficient rectangular mixed finite elements in two and three space variables
• Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
• DISPLACEMENT/PRESSURE BASED MIXED FINITE ELEMENT FORMULATIONS FOR ACOUSTIC FLUID-STRUCTURE INTERACTION PROBLEMS
• Optimal Preconditioning for Raviart--Thomas Mixed Formulation of Second-Order Elliptic Problems
• Solution of a Wave Equation by a Mixed Finite Element - Fictitious Domain Method
• A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation
• Finite Element Vibration Analysis of Fluid–Solid Systems without Spurious Modes
• A Priori Estimates for Mixed Finite Element Approximations of Second-Order Hyperbolic Equations with Absorbing Boundary Conditions
• A Block Finite Difference Scheme for Second-Order Elliptic Problems with Discontinuous Coefficients
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
• A finite element solution of acoustic propagation in rigid porous media
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