A Higher Order Immersed Discontinuous Galerkin Finite Element Method for the Acoustic Interface Problem

DOI10.1007/978-3-319-06923-4_6zbMath1319.65094OpenAlexW2284107531MaRDI QIDQ5265305

Kihyo Moon, Slimane Adjerid

Publication date: 23 July 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06923-4_6

zbMATH Keywords

convergencenumerical examplesacoustic wave propagationdiscontinuous Galerkin finite element methodimmersed method

Mathematics Subject Classification ID

Wave equation (35L05) 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)

Related Items (6)

A unified immersed finite element error analysis for one-dimensional interface problems ⋮ Higher degree immersed finite element spaces constructed according to the actual interface ⋮ An Immersed Discontinuous Galerkin Method for Acoustic Wave Propagation in Inhomogeneous Media ⋮ Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media ⋮ An immersed discontinuous finite element method for the Stokes problem with a moving interface ⋮ A Higher Order Immersed Discontinuous Galerkin Finite Element Method for the Acoustic Interface Problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media
• A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media
• Discontinuous Galerkin spectral element approximations on moving meshes
• A finite element method for interface problems in domains with smooth boundaries and interfaces
• A \(p\)-th degree immersed finite element for boundary value problems with discontinuous coefficients
• Finite difference methods on irregular networks. A generalized approach to second order elliptic problems. (Licensed ed.)
• Low-storage Runge-Kutta schemes
• An analysis of the discontinuous Galerkin method for wave propagation problems
• Finite element methods and their convergence for elliptic and parabolic interface problems
• Numerical treatment of two-dimensional interfaces for acoustic and elastic waves.
• Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
• Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
• Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
• The finite element method for elliptic equations with discontinuous coefficients
• Three-dimensional immersed finite element methods for electric field simulation in composite materials
• Approximation capability of a bilinear immersed finite element space
• Explicit Finite Element Methods for Symmetric Hyperbolic Equations
• Immersed finite element methods for parabolic equations with moving interface
• A Higher Order Immersed Discontinuous Galerkin Finite Element Method for the Acoustic Interface Problem
• The Immersed Interface Method
• A new interface method for hyperbolic problems with discontinuous coefficients: One-dimensional acoustic example

This page was built for publication: A Higher Order Immersed Discontinuous Galerkin Finite Element Method for the Acoustic Interface Problem