Results 21 to 30 of about 752 (185)

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
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Discontinuous Galerkin methods with Trefftz approximations

Journal of Computational and Applied Mathematics, 2014
14 pages, 12 figures, preprint submitted at J Comput ...
Fritz Kretzschmar, Sascha M. Schnepp, Igor Tsukerman, Thomas Weiland   +3 more
openaire   +2 more sources

Stochastic Discontinuous Galerkin Methods (SDGM) based on fluctuation-dissipation balance

Results in Applied Mathematics, 2019
We introduce a general framework for approximating parabolic Stochastic Partial Differential Equations (SPDEs) based on fluctuation-dissipation balance. Using this approach we formulate Stochastic Discontinuous Galerkin Methods (SDGM).
W. Pazner, N. Trask, P.J. Atzberger
doaj   +1 more source

A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations

Abstract and Applied Analysis, 2014
We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods ...
Leilei Wei, Xindong Zhang
doaj   +1 more source

Advanced Numerical Methods for Graphene Simulation with Equivalent Boundary Conditions: A Review

Photonics, 2023
Since the discovery of graphene, due to its excellent optical, thermal, mechanical and electrical properties, it has a broad application prospect in energy, materials, biomedicine, electromagnetism and other fields.
Yansheng Gong, Na Liu
doaj   +1 more source

The discontinuous Petrov–Galerkin method

Acta Numerica
The discontinuous Petrov–Galerkin (DPG) method is a Petrov–Galerkin finite element method with test functions designed for obtaining stability. These test functions are computable locally, element by element, and are motivated by optimal test functions which attain the supremum in an inf-sup condition.
Leszek F. Demkowicz, Jay Gopalakrishnan
openaire   +1 more source

ExWave: A high performance discontinuous Galerkin solver for the acoustic wave equation

SoftwareX, 2019
A high performance implementation of a discontinuous Galerkin discretization with explicit Runge–Kutta and arbitrary derivative (ADER) time integration schemes is presented to solve the acoustic wave equation.
S. Schoeder, W.A. Wall, M. Kronbichler
doaj   +1 more source