Results 11 to 20 of about 27,288 (164)

L2-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

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.
Hyun Young Lee, Mi Ray Ohm, Jun Yong Shin   +2 more
doaj   +1 more source

High order discontinuous Galerkin methods on surfaces [PDF]

, 2014
We derive and analyze high order discontinuous Galerkin methods for second-order elliptic problems on implicitely defined surfaces in $\mathbb{R}^{3}$. This is done by carefully adapting the unified discontinuous Galerkin framework of Arnold et al. [2002]
Antonietti, Paola, Dedner, Andreas, Madhavan, Pravin, Stangalino, Simone, Stinner, Björn, Verani, Marco   +5 more
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Error Estimates for Local Discontinuous Galerkin Methods for Linear Fourth-order Equations

Journal of Harbin University of Science and Technology, 2021
This paper studies the stability and error estimates of the local discontinuous Galerkin method for fourth-order linear partial differential equations based on upwind-biased fluxes. Consider using the semi-discrete form of numerical format in the spatial
BI Hui, CHEN Sha-sha
doaj   +1 more source

Comparison of the stability of discontinuous Galerkin and finite-difference methods

Lietuvos Matematikos Rinkinys, 2002
In this article we present stability analysis of two discrete schemes, which are used to solve a parabolic problem on adaptive nonstationary meshes. The influence of interpolation and projection errors is investigated.
Raimondas Čiegis, Remigijus Čiegis, Olga Suboč   +2 more
doaj   +3 more sources

Numerical analysis of an implicit fully discrete local discontinuous Galerkin method for the fractional Zakharov–Kuznetsov equation

Mathematical Modelling and Analysis, 2012
In this paper we develop and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Zakharov–Kuznetsov equation.
Zongxiu Ren, Leilei Wei, Yinnian He, Shaoli Wang   +3 more
doaj   +1 more source

A Discontinuous Galerkin like Coarse Space correction for Domain Decomposition Methods with continuous local spaces: the DCS-DGLC Algorithm

ESAIM: Proceedings and Surveys, 2014
In this paper, we are interested in scalable Domain Decomposition Methods (DDM). To this end, we introduce and study a new Coarse Space Correction algorithm for Optimized Schwarz Methods(OSM): the DCS-DGLC algorithm.
Santugini Kévin
doaj   +1 more source

A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media

Results in Applied Mathematics, 2020
An hybridizable discontinuous Galerkin method of arbitrary high order is formulated to solve the miscible displacement problem in porous media. The spatial discretization is combined with a sequential algorithm that decouples the flow and the transport ...
Maurice S. Fabien, Matthew Knepley, Beatrice Riviere   +2 more
doaj   +1 more source

Fully Discrete Local Discontinuous Galerkin Approximation for Time-Space Fractional Subdiffusion/Superdiffusion Equations

Advances in Mathematical Physics, 2017
We focus on developing the finite difference (i.e., backward Euler difference or second-order central difference)/local discontinuous Galerkin finite element mixed method to construct and analyze a kind of efficient, accurate, flexible, numerical schemes
Meilan Qiu, Liquan Mei, Dewang Li
doaj   +1 more source

Sound shielding simulation by coupled discontinuous Galerkin and fast boundary element methods

Engineering Applications of Computational Fluid Mechanics, 2022
A code coupling has been established for performing efficient fan tone shielding simulations of aerial vehicles with unconventional engine installations.
S. Proskurov, R. Ewert, M. Lummer, M. Mößner, J. W. Delfs   +4 more
doaj   +1 more source

SpECTRE: A Task-based Discontinuous Galerkin Code for Relativistic Astrophysics [PDF]

, 2017
We introduce a new relativistic astrophysics code, SpECTRE, that combines a discontinuous Galerkin method with a task-based parallelism model. SpECTRE's goal is to achieve more accurate solutions for challenging relativistic astrophysics problems such as
Bohn, Andy, Deppe, Nils, Diener, Peter, Field, Scott E., Foucart, Francois, Hébert, François, Kidder, Lawrence E., Lippuner, Jonas, Miller, Jonah, Ott, Christian D., Scheel, Mark A., Schnetter, Erik, Teukolsky, Saul A., Vincent, Trevor   +13 more
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