Results 11 to 20 of about 121,260 (302)

Convergence of a Discontinuous Galerkin Multiscale Method [PDF]

SIAM Journal on Numerical Analysis, 2013
A convergence result for a discontinuous Galerkin multiscale method for a second order elliptic problem is presented. We consider a heterogeneous and highly varying diffusion coefficient in $L^\infty( ,\mathbb{R}^{d\times d}_{sym})$ with uniform spectral bounds and without any assumption on scale separation or periodicity. The multiscale method uses a
Elfverson, Daniel, Georgoulis, Emmanuil H., Målqvist, Axel, Peterseim, Daniel   +3 more
openaire   +7 more sources

Implicit large-eddy simulation of compressible flows using the Interior Embedded Discontinuous Galerkin method [PDF]

arXiv.org, 2016
We present a high-order implicit large-eddy simulation (ILES) approach for simulating transitional turbulent flows. The approach consists of an Interior Embedded Discontinuous Galerkin (IEDG) method for the discretization of the compressible Navier ...
P. Fernández, N. Nguyen, X. Roca, J. Peraire   +3 more
semanticscholar   +5 more sources

NUMERICAL SIMULATION OF A SINGLE RING INFILTRATION EXPERIMENT WITH hp-ADAPTIVE SPACE-TIME DISCONTINUOUS GALERKIN METHOD

Acta Polytechnica, 2021
We present a novel hp-adaptive space-time discontinuous Galerkin (hp-STDG) method for the numerical solution of the nonstationary Richards equation equipped with Dirichlet, Neumann and seepage face boundary conditions.
Vít Dolejší, Michal Kuráž, Pavel Solin   +2 more
doaj   +1 more source

Embedded Trefftz discontinuous Galerkin methods

International Journal for Numerical Methods in Engineering, 2023
AbstractIn Trefftz discontinuous Galerkin methods a partial differential equation is discretized using discontinuous shape functions that are chosen to be elementwise in the kernel of the corresponding differential operator. We propose a new variant, the embedded Trefftz discontinuous Galerkin method, which is the Galerkin projection of an underlying ...
Christoph Lehrenfeld, Paul Stocker
openaire   +3 more sources

Non-Hydrostatic Discontinuous/Continuous Galerkin Model for Wave Propagation, Breaking and Runup

Computation, 2021
This paper presents a new depth-integrated non-hydrostatic finite element model for simulating wave propagation, breaking and runup using a combination of discontinuous and continuous Galerkin methods.
Lucas Calvo, Diana De Padova, Michele Mossa, Paulo Rosman   +3 more
doaj   +1 more source

A hybridizable discontinuous Galerkin method for two‐phase flow in heterogeneous porous media [PDF]

International Journal for Numerical Methods in Engineering, 2018
We present a new method for simulating incompressible immiscible two‐phase flow in porous media. The semi‐implicit method decouples the wetting phase pressure and saturation equations.
M. Fabien, M. Knepley, B. Rivière
semanticscholar   +1 more source

Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin Methods [PDF]

, 2012
In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinuous Galerkin methods only assuming the stabilizing parameters are large ...
Gudi, Thirupathi, Guzmán, Johnny
core   +1 more source

A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods [PDF]

, 2008
We present here a domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by a discontinuous Galerkin method.
Alonso-Rodriguez, Amestoy, Benzi, Bernardi, Boissonnat, Bourdel, Buffa, Chew, Collino, Després, Després, Ern, Ern, Fezoui, Gander, George, Helluy, Hesthaven, Houston, Houston, Hénon, Karypis, Lee, Monk, Perugia, Piperno, Ratiu, Ronan Perrussel, Saad, Sleijpen, Stéphane Lanteri, Victorita Dolean, Vouvakis   +32 more
core   +5 more sources

Some comparisons and analyses of time or space discontinuous Galerkin methods applied to elastic wave propagation in anisotropic and heterogeneous media

Advanced Modeling and Simulation in Engineering Sciences, 2019
This research work presents some comparisons and analyses of the time discontinuous space–time Galerkin method and the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and heterogeneous media.
Bing Tie
doaj   +1 more source

The Discontinuous Galerkin Method with Diffusion [PDF]

Mathematics of Computation, 1992
Let \(\Omega\subset \mathbb{R}^ 2\) be a bounded polygon and \(\alpha=(\alpha_ 1,\alpha_ 2)\) a unit vector. The author considers the following class of constant-coefficient convection-diffusion equations: (1) \(u_ \alpha-\sigma_ 1u_{xx}-\sigma_ 2u_{yy}=f\), where \((x,y)\in \Omega\), \(u_ \alpha=\alpha\cdot\bigtriangledown u\) and \(\sigma_ 1\) and \(\
openaire   +2 more sources