Results 91 to 100 of about 16,319,430 (163)

Sharper Resolution of Arctic Sea Ice Dynamics With Non‐Conforming Finite Elements in FESOM2

open access: yesJournal of Advances in Modeling Earth Systems, Volume 18, Issue 8, August 2026.
Abstract Sea ice dynamics in numerical models are discretized on a spatial grid, with variables defined at grid cell vertices, edges, or centers. The CD‐grid discretization places the velocity vector on element edges and tracers on vertices. On a triangular grid, the number of edges is three times the number of nodes, therefore placing velocity on ...
Jan P. Gärtner, Sergey Danilov
wiley   +1 more source

Formulation, analysis and solution algorithms for a model of gradient plasticity within a discontinuous Galerkin framework [PDF]

open access: yes, 2008
Includes bibliographical references (p. [221]-239).An investigation of a model of gradient plasticity in which the classical von Mises yield function is augmented by a term involving the Laplacian of the equivalent plastic strain is presented. The theory
McBride, Andrew Trevor
core   +1 more source

Overcoming Computational Bottlenecks in Quantum Hydrodynamics: A Volume‐Based Integral Formalism for Spherical Nanoparticles

open access: yesNanophotonics, Volume 15, Issue 13, 13 July 2026.
Numerical modeling of mesoscopic material response models that capture the quantum dynamics of electrons does not have to come with discouraging computational bottlenecks. The main message is that through a shift in perspective in modeling toward integral equation methods and exploiting symmetry‐based arguments, it is possible to capture complicated ...
Christos Mystilidis   +4 more
wiley   +1 more source

A Path-Conservative ADER Discontinuous Galerkin Method for Non-Conservative Hyperbolic Systems: Applications to Shallow Water Equations

open access: yesMathematics
In this article, we propose a new path-conservative discontinuous Galerkin (DG) method to solve non-conservative hyperbolic partial differential equations (PDEs).
Xiaoxu Zhao   +3 more
doaj   +1 more source

On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods

open access: yesCoRR, 2012
Submitted to International Journal of Numerical Analysis and ...
Cangiani A.   +3 more
openaire   +4 more sources

Local discontinuous Galerkin methods for the Stokes system

open access: yes, 2000
SAM Research Report, 2000 ...
Cockburn, B.   +3 more
openaire   +2 more sources

A massive MPI parallel framework of 3D local discontinuous Galerkin method for simulating large-scale underwater explosion problems

open access: yesApplied Ocean Research
The discontinuous Galerkin method (DGM) has showed appealing performances in addressing underwater explosion (UNDEX) problems with strong discontinuities.
Zhaoxu Lian, Wenbin Wu, Moubin Liu
doaj   +1 more source

Rellich-type Discrete Compactness for Some Discontinuous Galerkin FEM [PDF]

open access: yes
We deduce discrete compactness of Rellich type for some discontinuous Galerkin finite element methods (DGFEM) including hybrid ones, under fairly general settings on the triangulations and the finite element spaces.
KIKUCHI, Fumio
core  

Derivation of an adjoint consistent discontinuous Galerkin discretization of the compressible Euler equations [PDF]

open access: yes, 2006
Adjoint consistency - in addition to consistency - is the key requirement for discontinuous Galerkin (DG) discretizations to be of optimal order in L2 as well as measured in terms of target functionals.
Hartmann, Ralf
core  

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]

open access: yes, 2006
We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre   +5 more
core   +1 more source

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