Results 11 to 20 of about 36,161 (211)

Exasim: Generating discontinuous Galerkin codes for numerical solutions of partial differential equations on graphics processors

SoftwareX, 2022
This paper presents an overview of the functionalities and applications of Exasim, an open-source code for generating high-order discontinuous Galerkin codes to numerically solve parametrized partial differential equations (PDEs).
Jordi Vila-Pérez, R. Loek Van Heyningen, Ngoc-Cuong Nguyen, Jaume Peraire   +3 more
doaj   +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

Stability evaluation of high-order splitting method for incompressible flow based on discontinuous velocity and continuous pressure

Advances in Mechanical Engineering, 2019
In this work, we deal with high-order solver for incompressible flow based on velocity correction scheme with discontinuous Galerkin discretized velocity and standard continuous approximated pressure.
Liyang Xu, Xinhai Xu, Xiaoguang Ren, Yunrui Guo, Yongquan Feng, Xuejun Yang   +5 more
doaj   +1 more source

Space-time discontinuous Galerkin method for the numerical simulation of the compressible turbulent gas flow through the porous media [PDF]

EPJ Web of Conferences, 2019
The article is concerned with the numerical simulation of the compressible turbulent gas flow through the porous media using space-time discontinuous Galerkin method.The mathematical model of flow is represented by the system of non-stationary Reynolds ...
Česenek Jan
doaj   +1 more source

Discontinuous Galerkin for Diffusion [PDF]

17th AIAA Computational Fluid Dynamics Conference, 2005
Abstract : The funded period of this project ran out on 30 November 2007; a no-cost extension of 3 months was requested by the PI for medical reasons, and was granted. In the second year the effort addressed the following issues: (1) making the Recovery-based Discontinuous Galerkin method (RDG) suitable for multidimensional applications, (2) increasing
Leer, Bram Van, Nomura, Shohei
openaire   +1 more source

Numerical approximation of time-fractional Burgers-type equation

Advances in Difference Equations, 2020
In this work, we analyze and test a local discontinuous Galerkin method for solving the Burgers-type equation. The proposed numerical method, which is high-order accurate, is based on a finite difference scheme in time and local discontinuous Galerkin ...
Miaomiao Yang
doaj   +1 more source

A weighted Nitsche discontinuous Galerkin finite element method for plane problems

Journal of Hebei University of Science and Technology, 2018
The classical discontinuous Galerkin finite element method has the unstable numerical problem resulting from the inappropriate stability parameter for elasticity problem with interfaces.
Xiaowei DENG, Jianfei ZHANG, Mingwei WANG   +2 more
doaj   +1 more source

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

An analytical and numerical approach for the $(1+1)$-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
The main focus of this work is to develop and implement an efficient lo-cal discontinuous Galerkin scheme for acquiring the numerical solution of the (1 + 1)-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equa-tion. The proposed framework employs a
A. Chand, J. Mohapatra
doaj   +1 more source

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