Results 151 to 160 of about 732 (184)
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Bubble stabilization of discontinuous Galerkin methods
Computer Methods in Applied Mechanics and Engineering, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ANTONIETTI, PAOLA FRANCESCA +2 more
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Hybridizable Discontinuous Galerkin Methods
2010We present an overview of recent developments of HDG methods for numerically solving partial differential equations in fluid mechanics.
N. C. Nguyen, J. Peraire, B. Cockburn
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Discontinuous Galerkin methods for non-linear elasticity
International Journal for Numerical Methods in Engineering, 2006Summary: This paper presents the formulation and a partial analysis of a class of discontinuous Galerkin methods for quasistatic non-linear elasticity problems. These methods are endowed with several salient features. The equations that define the numerical scheme are the Euler-Lagrange equations of a one-field variational principle, a trait that ...
Eyck, A. Ten, Lew, A.
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The space-continuous–discontinuous Galerkin method
Computer Methods in Applied Mechanics and Engineering, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Discontinuous Galerkin Method
2014Accuracy preserving and nonoscillatory shock capturing technique is one of the bottlenecks in the development of discontinuous Galerkin method. In this chapter, a new limiter based on the secondary reconstruction and WENO approach in characteristic space is developed for the discontinuous Galerkin method.
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A Multiscale Discontinuous Galerkin Method
2006We propose a new class of Discontinuous Galerkin (DG) methods based on variational multiscale ideas. Our approach begins with an additive decomposition of the discontinuous finite element space into continuous (coarse) and discontinuous (fine) components.
Pavel Bochev +2 more
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The Hybridizable Discontinuous Galerkin Methods
Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), 2011We introduce the hybridizable discontinuous Galerkin (HDG) methods in the framework of steady-state diffusion problems and show why they can be implemented more efficiently than any other DG method and why they are also more accurate. We then give an overview of the application of these methods to several problems including wave propagation, linear and
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The Hybridizable Discontinuous Galerkin Method
2019In this section, we show how the spaces of RT and BDM can be balanced to have an equal polynomial degree. Stability will be restored using a discrete stabilization (not penalization) function. This is how local quantities of RT, BDM, and HDG methods compare.
Shukai Du, Francisco-Javier Sayas
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Introduction to Discontinuous Galerkin Methods
2017The purpose of this chapter is to present an overview of the construction of discontinuous Galerkin finite element methods for a general class of second-order partial differential equations with nonnegative characteristic form. This class of equations includes second-order elliptic and parabolic partial differential equations, ultra-parabolic equations,
Andrea Cangiani +3 more
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Molecular imaging in oncology: Current impact and future directions
Ca-A Cancer Journal for Clinicians, 2022Steven P Rowe, Martin G Pomper
exaly