Results 41 to 50 of about 498 (168)
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
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Electronic Journal of Differential Equations, 2016 The goal of this article is to explore and motivate stabilization requirements for various types of discontinuous Galerkin (DG) methods. A new approach for the understanding of DG approximation methods for second order elliptic partial differential ...
Thomas Lewis
doaj
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.
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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
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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 +4 more
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An algorithm for stabilizing hybridizable discontinuous Galerkin methods for nonlinear elasticity
Results in Applied Mathematics, 2019 It is now a well known fact that hybridizable discontinuous Galerkin for nonlinear elasticity may not converge to the exact solution if their inter-element jumps are not properly penalized or, equivalently, if the values of their stabilization function ...
Bernardo Cockburn, Jiguang Shen
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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
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Physics-Based-Adaptive Plasma Model for High-Fidelity Numerical Simulations
Frontiers in Physics, 2018 A physics-based-adaptive plasma model and an appropriate computational algorithm are developed to numerically simulate plasma phenomena in high fidelity.
Andrew Ho +2 more
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Local discontinuous Galerkin method for the integral fractional Laplacian
CoRRWe 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
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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
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