A STUDY OF HIGHER-ORDER DISCONTINUOUS GALERKIN AND QUADRATIC LEAST-SQUARES STABILIZED FINITE ELEMENT COMPUTATIONS FOR ACOUSTICS
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Publication:3056086
DOI10.1142/S0218396X06002792zbMath1198.76069MaRDI QIDQ3056086
Radek Tezaur, Charbel Farhat, Isaac Harari
Publication date: 10 November 2010
Published in: Journal of Computational Acoustics (Search for Journal in Brave)
Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
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- Preconditioning techniques for the solution of the Helmholtz equation by the finite element method
- The Galerkin gradient least-squares method
- A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- A relationship between stabilized finite element methods and the Galerkin method with bubble functions
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- The intrinsic time for the streamline upwind/Petrov-Galerkin formulation using quadratic elements
- Finite element methods for the Helmholtz equation in an exterior domain: Model problems
- Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
- Weak-element approximations to elliptic differential equations
- Element diameter free stability parameters for stabilized methods applied to fluids
- The variational multiscale method -- a paradigm for computational mechanics
- The partition of unity finite element method: basic theory and applications
- \(h\)-adaptive finite element computation of time-harmonic exterior acoustics problems in two dimensions
- A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
- The discontinuous enrichment method for multiscale analysis.
- The nearly-optimal Petrov-Galerkin method for convection-diffusion problems.
- Bubble functions prompt unusual stabilized finite element methods.
- A two-step, two-field hybrid method for the static and dynamic analysis of substructure problems with conforming and non-conforming interfaces
- The design and analysis of the generalized finite element method
- A least-squares method for the Helmholtz equation
- A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
- A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes
- Numerical investigations of stabilized finite element computations for acoustics
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- High-Order Finite Element Methods for Acoustic Problems
- On quadratic elements in finite element solutions of steady-state convection—diffusion equation
- Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
- A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems
- THE PARTITION OF UNITY METHOD
- Residual-free bubbles for the Helmholtz equation
- Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
- Computation of the stabilization parameter for the finite element solution of advective-diffusive problems
- Stabilized Finite Elements on Anisotropic Meshes: A Priori Error Estimates for the Advection-Diffusion and the Stokes Problems
- A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation
- Higher‐order extensions of a discontinuous Galerkin method for mid‐frequency Helmholtz problems
- The generalized finite element method
- The discontinuous enrichment method