Results 51 to 60 of about 121,260 (302)

A posteriori error control for discontinuous Galerkin methods for parabolic problems

, 2010
We derive energy-norm a posteriori error bounds for an Euler time-stepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems.
Emmanuil H. Georgoulis, Ern A., Juha M. Virtanen, Omar Lakkis, Yang J.-M.   +4 more
core   +1 more source

Numerical simulations with a first order BSSN formulation of Einstein's field equations [PDF]

, 2012
We present a new fully first order strongly hyperbolic representation of the BSSN formulation of Einstein's equations with optional constraint damping terms.
Abdul H. Mroué, Erik Schnetter, F. Pretorius, Frank Herrmann, H.-O. Kreiss, J. David Brown, J. A. Schouten, J. S. Hesthaven, Jan S. Hesthaven, L. Blanchet, M. Taylor, Manuel Tiglio, Michael Wagman, Olivier Sarbach, Peter Diener, Scott E. Field, T. Goodale   +16 more
core   +3 more sources

Application of generalized Gauss-Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations

Mathematics of Computation, 2016
In this paper we consider the local discontinuous Galerkin method based on the generalized alternating numerical fluxes, for solving the linear convection-diffusion equations in one dimension and two dimensions.
Yao Cheng, Xiong Meng, Qiang Zhang
semanticscholar   +1 more source

Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables

International Journal for Numerical Methods in Fluids, EarlyView.
Based on Hamilton's principle, the study focuses on a novel strategy for the modeling of non‐Newtonian fluids with the help of internal variables. Here, the viscosity evolves locally in space and time. Three configurations are numerically implemented, namely channel flow, a benchmark, and a lid‐driven cavity.
Philipp Junker, Thomas Wick
wiley   +1 more source

A discontinuous Galerkin method for cohesive zone modelling

, 2015
We propose a discontinuous finite element method for small strain elasticity allowing for cohesive zone modeling. The method yields a seamless transition between the discontinuous Galerkin method and classical cohesive zone modeling.
Hansbo, Peter, Salomonsson, Kent
core   +1 more source

An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems

Journal of Applied Mathematics, 2014
An unfitted discontinuous Galerkin method is proposed for the elliptic interface problems. Based on a variant of the local discontinuous Galerkin method, we obtain the optimal convergence for the exact solution u in the energy norm and its flux p in the ...
Qiuliang Wang, Jinru Chen
doaj   +1 more source

Solution of 3D heat conduction equations using the discontinuous Galerkin method on unstructured grids

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
The discontinuous Galerkin method with discontinuous basic functions which is characterized by a high order of accuracy of the obtained solution is now widely used.
Ruslan V Zhalnin, Marina E Ladonkina, Victor F Masyagin, Vladimir F Tishkin   +3 more
doaj   +1 more source

A Filter‐Matrix Lattice‐Boltzmann Methodology for Convective Melting and Solidification

International Journal for Numerical Methods in Fluids, EarlyView.
We propose a new methodology for simulating melting and solidification that can be used in lattice‐Boltzmann schemes that are based on filter‐matrix collision operators. The methodology includes an iteration‐free source‐based enthalpy method for phase‐change and an immersed boundary technique.
Celeke Bus, Thorben Besseling, Martin Rohde   +2 more
wiley   +1 more source

Discontinuous Galerkin approach for two-parametric convection-diffusion equation with discontinuous source term [PDF]

Iranian Journal of Numerical Analysis and Optimization
In this article, we explore the discontinuous Galerkin finite element method for two-parametric singularly perturbed convection-diffusion problems with a discontinuous source term.
K. R. Ranjan, S. Gowrisankar
doaj   +1 more source

Extended hybridizable discontinuous Galerkin method

, 2023
This thesis proposes a new numerical technique: the eXtended Hybridizable Discontinuous Galerkin (X-HDG) Method, to efficiently solve problems including moving boundaries and interfaces. It aims to outperform available methods and improve the results by inheriting favored properties of Discontinuous Galerkin (HDG) together with an explicit interface ...
openaire   +4 more sources