An hp-Local Discontinuous Galerkin method for Parabolic\ud Integro-Differential Equations [PDF]
In this article, a priori error analysis is discussed for an hp-local discontinuous Galerkin (LDG) approximation to a parabolic integro-differential equation.
Pani, A. K., Yadav, S
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Application and assessment of time-domain DGM for intake acoustics using 3D linearized Euler equations [PDF]
Fan noise is one of the major sources of aircraft noise. This can be modelled by means of frequency and time domain CAA methods. Frequency domain methods based on the convected Helmholtz equation are widely used for noise propagation and radiation from ...
Rarata, Zbigniew
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This paper introduces the DGFS-BE solver, an open-source Discontinuous Galerkin Fast Spectral solver designed to address the complexities of the Boltzmann equation, a fundamental equation in kinetic theory.
Evgeniia Vorozhbit +4 more
doaj +1 more source
Método de Galerkin livre de elementos aplicado a placas de materiais compostos laminados [PDF]
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro Tecnológico. Programa de Pós-Graduação em Engenharia Mecânica.O objetivo deste trabalho é desenvolver um programa de análise de placas de materiais compostos laminados usando o ...
Teles, Tiago Franco de Góes
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A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems [PDF]
We develop the a-posteriori error analysis of hp-version interior-penalty discontinuous Galerkin finite element methods for a class of second-order quasilinear elliptic partial differential equations.
Suli, Endre +3 more
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Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes [PDF]
In this paper we consider the a posteriori and a priori error analysis of discontinuous Galerkin interior penalty methods for second-order partial differential equations with nonnegative characteristic form on anisotropically refined computational meshes.
Hall, Edward +5 more
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Superconvergence of the local discontinuous Galerkin method for nonlinear convection-diffusion problems. [PDF]
Bi H, Qian C.
europepmc +1 more source
An hr-adaptive discontinuous Galerkin method for advection-diffusion problems [PDF]
We propose an adaptive mesh refinement strategy based on exploiting a combination of a pre-processing mesh re-distribution algorithm employing a harmonic mapping technique, and standard (isotropic) mesh subdivision for discontinuous Galerkin ...
Antonietti, Paola F., Houston, Paul
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Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation [PDF]
In this article we consider the development of discontinuous Galerkin finite element methods for the numerical approximation of the compressible Navier-Stokes equations.
Ralf Hartmann +3 more
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A Framework for Curved Boundary Representation in 2D Discontinuous Galerkin Euler Solvers
Finite-element based CFD solvers like the family of Discontinuous Galerkin (DG) solvers suffer severely from inaccurate boundary reconstruction. In this matter, developing an accurate and flexible strategy is highly demanded to provide high-order curved ...
Behzad Baghapour +2 more
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