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Discontinuous Galerkin Methods
2018Two GDMs are obtained from the Discontinuous Galerkin setting. The first one recovers the high order SIPG schemes in the case of linear problems, the second one, based on average jumps, leads to simpler computations.
Jérôme Droniou +4 more
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Discontinuous-Galerkin microwave imaging
2014 16th International Symposium on Antenna Technology and Applied Electromagnetics (ANTEM), 2014We develop a high-order contrast source inversion method for solving the inverse scattering problem in electromagnetics. To decouple inversion from the mesh discretization, the algorithm supports high-order expansions for the fields, contrast and contrast sources on each element.
Ian Jeffrey, Amer Zakaria, Joe LoVetri
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Mixed Plane Wave Discontinuous Galerkin Methods
2009In this paper, we extend the class of plane wave discontinuous Galerkin methods for the two-dimensional inhomogeneous Helmholtz equation presented in Gittelson, Hiptmair, and Perugia [2007]. More precisely, we consider the case of numerical fluxes defined in mixed form, namely, numerical fluxes explicitly defined in terms of both the primal and the ...
Perugia I, Hiptmair R
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Conservative discontinuous Galerkin interpolation: Sheared boundary conditions
Computer Physics Communications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manaure Francisquez +3 more
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Discontinuous Galerkin Methods in Nanophotonics
Advanced Photonics Congress, 2012A review of the current status of Discontinuous Galerkin methods and their applications in nano-photonics is provided and future directions in methodic developments and applications are discussed.
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Discontinuous Galerkin Model of Cellular Electroporation
2018 40th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2018Electroporation (EP) is a phenomenon involving both nonlinear biophysical processes and complex geometries. When exposed to strong electric fields, the formation of pores within a cell membrane increases the membrane permeability. Discontinuous Galerkin (DG) finite element methods can directly enforce these flux jumps across the thin cell membrane ...
Daniel C, Sweeney, Rafael V, Davalos
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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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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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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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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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