Results 11 to 20 of about 21,624 (188)

Comparison of implicit time-discretization schemes for hybridized discontinuous Galerkin methods

Applied and Computational Mechanics, 2022
The present study is focused on the application of two families of implicit time-integration schemes for general time-dependent balance laws of convection-diffusion-reaction type discretized by a hybridized discontinuous Galerkin method in space, namely ...
Levý T., May G.
doaj   +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

hp-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes [PDF]

SIAM Journal on Scientific Computing, 2016
We present a new $hp$-version space-time discontinuous Galerkin (dG) finite element method for the numerical approximation of parabolic evolution equations on general spatial meshes consisting of polygonal/polyhedral (polytopic) elements, giving rise to ...
A. Cangiani, Zhaonan Dong, E. Georgoulis
semanticscholar   +1 more source

Using a LDG method for solving an inverse source problem of the time-fractional diffusion equation [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2017
In this paper, we apply a local discontinuous Galerkin (LDG) method to solve some fractional inverse problems. In fact, we determine a timedependent source term in an inverse problem of the time-fractional diffusion equation.
Somayeh Yeganeh, Reza Mokhtari, Somayeh Fouladi   +2 more
doaj   +1 more source

High Order ADER Schemes for Continuum Mechanics

Frontiers in Physics, 2020
In this paper we first review the development of high order ADER finite volume and ADER discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in 1999 by Toro et al.
Saray Busto, Simone Chiocchetti, Michael Dumbser, Elena Gaburro, Ilya Peshkov   +4 more
doaj   +1 more source

A Fast, Hybrid, Time-Domain Discontinuous Galerkin-Physical Optics Method for Composite Electromagnetic Scattering Analysis

Applied Sciences, 2021
To accelerate the solution of transient electromagnetic scattering from composite scatters, a novel hybrid discontinuous Galerkin time domain (DGTD) and time-domain physical optics (TDPO) method is proposed.
Ceyi Ma, Yinghong Wen, Jinbao Zhang
doaj   +1 more source

Numerical Analysis of Local Discontinuous Galerkin Method for the Time-Fractional Fourth-Order Equation with Initial Singularity

Fractal and Fractional, 2022
In this paper, efficient methods seeking the numerical solution of a time-fractional fourth-order differential equation with Caputo’s derivative are derived. The solution of such a problem has a weak singularity near the initial time t=0. The Caputo time-
Zhen Wang
doaj   +1 more source

On the dissipation of conforming and discontinuous Galerkin schemes for the incompressible Navier–Stokes equations

AIP Advances, 2022
In this paper, we improve the numerical performance of the classical conforming finite element schemes for the time-dependent incompressible Navier–Stokes equations by adding dissipation. This is a physics-inspired approach, and the dissipative terms are
Xi Chen, Corina Drapaca
doaj   +1 more source

Pointwise best approximation results for Galerkin finite element solutions of parabolic problems [PDF]

, 2016
In this paper we establish a best approximation property of fully discrete Galerkin finite element solutions of second order parabolic problems on convex polygonal and polyhedral domains in the $L^\infty$ norm.
Leykekhman, Dmitriy, Vexler, Boris
core   +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