Results 61 to 70 of about 121,260 (302)

Discontinuous Galerkin methods with Trefftz approximations

open access: yesJournal of Computational and Applied Mathematics, 2014
14 pages, 12 figures, preprint submitted at J Comput ...
Fritz Kretzschmar   +3 more
openaire   +2 more sources

A vertical‐slice frontogenesis test case for compressible non‐hydrostatic dynamical cores of atmospheric models

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
Our article presents a new vertical‐slice test case for benchmarking atmospheric dynamical cores. The test case is based on the Eady frontogenesis problem, producing sharp fronts that provide a challenge for numerical models. This was not previously possible in a 2D vertical‐slice configuration unless the model is incompressible, so our test case ...
Hiroe Yamazaki, Colin J. Cotter
wiley   +1 more source

High Order Discontinuous Galerkin Method [PDF]

open access: yes, 2007
Standard continuous Galerkin-based finite element methods have poor stability properties when applied to transport-dominated flow problems, so excessive numerical stabilization is needed.
Stamm, Benjamin
core  

A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

open access: yes, 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   +8 more
core   +1 more source

Modeling Floating Potential Conductors Using Discontinuous Galerkin Method

open access: yesIEEE Access, 2020
Isolated conductors appear in various electrostatic problems. In simulations, an equipotential condition with an undefined/floating potential value is enforced on the surface of isolated conductors.
Liang Chen, Ming Dong, Hakan Bagci
doaj   +1 more source

Application of the Discontinuous Galerkin Method to the Study of the Dynamics of Temperature and Pressure Changes in a Formation with an Injection Well and a Hydraulic Fracture

open access: yesИнженерные технологии и системы, 2021
Introduction. In this article, the problem of temperature distribution in an oil-bearing formation with a hydraulic fracture and a vertical injection well is numerically modeled. Materials and Methods. To describe the process of temperature distribution
Ruslan V. Zhalnin   +3 more
doaj   +1 more source

A moving discontinuous Galerkin finite element method for flows with interfaces

open access: yesInternational Journal for Numerical Methods in Fluids, 2018
A moving discontinuous Galerkin finite element method with interface condition enforcement is formulated for flows with discontinuous interfaces. The underlying weak formulation enforces the interface condition separately from the conservation law, so ...
Andrew Corrigan, A. Kercher, D. Kessler
semanticscholar   +1 more source

Description and Convergence Order Analysis of the Finite Element‐Volume Spatial Discretization Method

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 97, Issue 9, Page 1189-1208, September 2025.
This article presents the principles of Finite Element‐Volume discretization and conducts an analysis of its properties and convergence orders. The discretization ensures local mass conservation, second‐order convergence for velocity, and first‐order convergence for pressure.
Maria Adela Puscas   +3 more
wiley   +1 more source

Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism

open access: yes, 2014
In this work, we apply a time-space adaptive discontinuous Galerkin method using the elliptic reconstruction technique with a robust (in P\'eclet number) elliptic error estimator in space, for the convection dominated parabolic problems with non-linear ...
Karasözen, Bülent, Uzunca, Murat
core   +1 more source

On the convergence of a shock capturing discontinuous Galerkin method for nonlinear hyperbolic systems of conservation laws [PDF]

open access: yes, 2016
In this paper, we present a shock capturing discontinuous Galerkin (SC-DG) method for nonlinear systems of conservation laws in several space dimensions and analyze its stability and convergence.
May, Georg, Zakerzadeh, Mohammad
core   +1 more source

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