Results 51 to 60 of about 22,455 (230)

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

Journal 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

Multi-GPU numerical simulation of electromagnetic waves*

ESAIM: Proceedings and Surveys, 2014
In this paper we present three-dimensional numerical simulations of electromagnetic waves. The Maxwell equations are solved by the Discontinuous Galerkin (DG) method.
Helluy Philippe, Strub Thomas
doaj   +1 more source

Local discontinuous Galerkin method for phase transition problems [PDF]

, 2015
In this thesis we develop a local discontinuous Galerkin (LDG) finite element method to solve mathematical models for phase transitions in solids and fluids. The first model we study is called a viscosity-capillarity (VC) system associated with phase transitions in elastic bars and Van der Waals fluids.
openaire   +1 more source

The local discontinuous Galerkin finite element method for Burger’s equation

Mathematical and Computer Modelling, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Long Shao, Xinlong Feng, Yinnian He
openaire   +2 more sources

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

Nanophotonics, 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, Christos Tserkezis, Guy A. E. Vandenbosch, N. Asger Mortensen, Xuezhi Zheng   +4 more
wiley   +1 more source

The discontinuous Galerkin method with higher degree finite difference compatibility conditions and arbitrary local and global basis functions

Computer Assisted Methods in Engineering and Science, 2017
This paper focuses on the discontinuous Galerkin (DG) method in which the compatibility condition on the mesh skeleton and Dirichlet boundary condition on the outer boundary are enforced with the help of one-dimensional finite difference (FD) rules ...
Jan Jaśkowiec
doaj   +1 more source

WENO schemes for multidimensional nonlinear degenerate parabolic PDEs [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2018
In this paper, a scheme is presented for approximating solutions of non linear degenerate parabolic equations which may contain discontinuous solutions.
R. Abedian
doaj   +1 more source

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source

Local discontinuous Galerkin method for the integral fractional Laplacian

CoRR
We develop and analyze a local discontinuous Galerkin (LDG) method for solving integral fractional Laplacian problems on bounded Lipschitz domains. The method is based on a three-field mixed formulation involving the primal variable, its gradient, and the corresponding Riesz potential, yielding a flux-based structure well suited for LDG discretizations
Rubing Han, Shuonan Wu, Hao Zhou
openaire   +2 more sources

A Convergent Fourier Spectral Galerkin Method for the Fractional Camassa–Holm Equation

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT We analyze a Fourier spectral Galerkin method for the fractional Camassa–Holm (fCH) equation involving a fractional Laplacian of exponent α∈[1,2]$$ \alpha \in \left[1,2\right] $$ with periodic boundary conditions. The semi‐discrete scheme preserves both mass and energy invariants of the fCH equation.
Mukul Dwivedi, Andreas Rupp
wiley   +1 more source