Results 91 to 100 of about 19,580 (197)

Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion

, 2018
We present a class of spline finite element methods for time-domain wave propagation which are particularly amenable to explicit time-stepping. The proposed methods utilize a discontinuous Galerkin discretization to enforce continuity of the solution ...
Chan, Jesse, Evans, John A
core   +1 more source

A numerical algorithm based on extended cubic B-spline functions for solving time-fractional convection-diffusion-reaction equation with variable coefficients

Journal of Nigerian Society of Physical Sciences
In this research, we develop an innovative and efficient numerical method for solving a nonlinear one-dimensional time-fractional convection-diffusion-reaction equation (TFCDRE) with a variable coefficient.
Anthony Anya Okeke, Nur Nadiah Abd Hamid, Wen Eng Ong, Muhammad Abbas   +3 more
doaj   +1 more source

A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

, 2010
A discontinuous Galerkin method for the ideal 5 moment two-fluid plasma system is presented. The method uses a second or third order discontinuous Galerkin spatial discretization and a third order TVD Runge-Kutta time stepping scheme.
Ammar Hakim, Bhattacharjee, Biswas, Cockburn, Cockburn, Durran, John Loverich, Solovev, Uri Shumlak   +8 more
core   +1 more source

hp-adaptive discontinuous Galerkin solver for elliptic equations in numerical relativity

, 2019
A considerable amount of attention has been given to discontinuous Galerkin methods for hyperbolic problems in numerical relativity, showing potential advantages of the methods in dealing with hydrodynamical shocks and other discontinuities.
Fischer, N., Pfeiffer, H., Vincent, T.
core   +2 more sources

A local discontinuous Galerkin method based on variational structure

Discrete & Continuous Dynamical Systems - S, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aimoto, Yoshifumi, Matsuo, Takayasu, Miyatake, Yuto   +2 more
openaire   +2 more sources

GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

, 2014
We discuss the development, verification, and performance of a GPU accelerated discontinuous Galerkin method for the solutions of two dimensional nonlinear shallow water equations. The shallow water equations are hyperbolic partial differential equations
Gandham, R, Medina, D S, Warburton, T
core  

A locally field-aligned discontinuous Galerkin method

, 2018
Motivated by problems in plasma physics, we deduce several models in two- and three-dimensional geometries and construct a discontinuous Galerkin (DG) method using a non-conforming locally field-aligned mesh. This approach allows us to distribute resolution parallel and perpendicular to the magnetic field.
openaire   +2 more sources

Analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains

, 2018
This paper presents the first analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains.
Cesmelioglu, Aycil, Horvath, Tamas L., Kirk, Keegan L. A., Rhebergen, Sander   +3 more
core  

A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]

Sci Rep, 2023
Jaśkowiec J, Pamin J.
europepmc   +1 more source

A priori and a posteriori error analysis of the first order hyperbolic equation by using DG method. [PDF]

PLoS One, 2023
Hossain MS, Xiong C, Sun H.
europepmc   +1 more source