Results 41 to 50 of about 734 (166)
Robust Interior Penalty Discontinuous Galerkin Methods
Journal of Scientific Computing, 2022 Classical interior penalty discontinuous Galerkin (IPDG) methods for diffusion problems require a number of assumptions on the local variation of mesh-size, polynomial degree, and of the diffusion coefficient to determine the values of the, so-called, discontinuity-penalization parameter and/or to perform error analysis.
Dong, Zhaonan, Georgoulis, Emmanuil
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Implicit Discontinuous Galerkin Method for the Boltzmann Equation [PDF]
Journal of Scientific Computing, 2020 An implicit high-order discontinuous Galerkin (DG) method is developed to find steady-state solution of rarefied gas flow described by the Boltzmann equation with full collision operator. In the physical space, velocity distribution function is approximated by the piecewise polynomials of degree up to 4, while in the velocity space the fast spectral ...
Wei Su 0007 +3 more
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Modelling and Simulation in Engineering, 2018 This paper describes a numerical model based on discontinuous Galerkin method for thermoacoustic investigation. Numerical investigation was conducted to study the behaviour of thermoacoustic wave propagations induced by thermal effects in 2-dimensional ...
Pranowo Pranowo, Adhika Widyaparaga
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Generalized Multiscale Finite Element Method for Elastic Wave Propagation in the Frequency Domain
Computation, 2020 In this work, we consider elastic wave propagation in fractured media. The mathematical model is described by the Helmholtz problem related to wave propagation with specific interface conditions (Linear Slip Model, LSM) on the fracture in the frequency ...
Uygulana Gavrilieva +2 more
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Electronic Journal of Differential Equations, 2016 The goal of this article is to explore and motivate stabilization requirements for various types of discontinuous Galerkin (DG) methods. A new approach for the understanding of DG approximation methods for second order elliptic partial differential ...
Thomas Lewis
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Journal of Inequalities and Applications, 2010 We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Lee HyunYoung, Shin JunYong, Ohm MiRay
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An algorithm for stabilizing hybridizable discontinuous Galerkin methods for nonlinear elasticity
Results in Applied Mathematics, 2019 It is now a well known fact that hybridizable discontinuous Galerkin for nonlinear elasticity may not converge to the exact solution if their inter-element jumps are not properly penalized or, equivalently, if the values of their stabilization function ...
Bernardo Cockburn, Jiguang Shen
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An Introduction to the Hybridizable Discontinuous Galerkin Method [PDF]
, 2021 This chapter in intended to be a didactical introduction to the Hybridizable Discontinuous Galerkin (HDG) method, including the formulation and its implementation. The Laplace and Stokes equations are considered as representative problems with self-adjoint operators, accounting for the incompressibility in the second one.
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Implementation of LDG method for 3D unstructured meshes
Revista de Matemática: Teoría y Aplicaciones, 2012 This paper describes an implementation of the Local Discontinuous Galerkin method (LDG) applied to elliptic problems in 3D. The implementation of the major operators is discussed.
Filander A. Sequeira Chavarría +1 more
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Penalty‐free discontinuous Galerkin method
International Journal for Numerical Methods in EngineeringAbstractIn this article, we present a new high‐order discontinuous Galerkin (DG) method, in which neither a penalty parameter nor a stabilization parameter is needed. We refer to this method as penalty‐free DG. In this method, the trial and test functions belong to the broken Sobolev space, in which the functions are in general discontinuous on the ...
Jan Jaśkowiec, N. Sukumar
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