Results 21 to 30 of about 21,729 (184)
Mathematical Modelling and Analysis, 2012 In this paper we develop and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Zakharov–Kuznetsov equation.
Zongxiu Ren +3 more
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Multigrid optimization for space-time discontinuous Galerkin discretizations of advection dominated flows [PDF]
, 2010 The goal of this research is to optimize multigrid methods for higher order accurate space-time discontinuous Galerkin discretizations. The main analysis tool is discrete Fourier analysis of two- and three-level multigrid algorithms.
A. Brandt +7 more
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Pointwise best approximation results for Galerkin finite element solutions of parabolic problems [PDF]
, 2016 In this paper we establish a best approximation property of fully discrete Galerkin finite element solutions of second order parabolic problems on convex polygonal and polyhedral domains in the $L^\infty$ norm.
Leykekhman, Dmitriy, Vexler, Boris
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Algorithms and Data Structures for Multi-Adaptive Time-Stepping [PDF]
, 2008 Multi-adaptive Galerkin methods are extensions of the standard continuous and discontinuous Galerkin methods for the numerical solution of initial value problems for ordinary or partial differential equations.
Jansson, Johan, Logg, Anders
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Space-Time Discontinuous Petrov–Galerkin Methods for Linear Wave Equations in Heterogeneous Media
Comput. Methods Appl. Math., 2019 We establish an abstract space-time DPG framework for the approximation of linear waves in heterogeneous media. The estimates are based on a suitable variational setting in the energy space.
Johannes Ernesti, C. Wieners
semanticscholar +1 more source
Implicit-explicit Runge–Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations [PDF]
, 2012 We analyze a two-stage implicit-explicit Runge–Kutta scheme for time discretization of advection-diffusion equations. Space discretization uses continuous, piecewise affine finite elements with interelement gradient jump penalty; discontinuous Galerkin ...
Burman, Erik, Ern, Alexandre
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SPACE-TIME FINITE ELEMENT FORMULATION FOR SHALLOW WATER EQUATIONS WITH SHOCK-CAPTURING OPERATOR
Pesquimat, 2014 This paper presents a space-time formulation for problems governed by the shallow water equations. A linear time discontinuous approximation is adopted and the streamline upwind Petrov-Galerkin (SUPG) methodis applied in its equivalent form to fit the ...
Rigoberto G Sanabria Castro
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IMA Journal of Numerical Analysis, 2019 We consider the $\varepsilon $-dependent stochastic Allen–Cahn equation with mild space–time noise posed on a bounded domain of $\mathbb{R}^2$. The positive parameter $\varepsilon $ is a measure for the inner layers width that are generated during ...
D. Antonopoulou
semanticscholar +1 more source
Abstract and Applied Analysis, 2014 We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods ...
Leilei Wei, Xindong Zhang
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High-order arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the incompressible Navier-Stokes equations [PDF]
Journal of Computational Physics, 2020 This paper presents robust discontinuous Galerkin methods for the incompressible Navier-Stokes equations on moving meshes. High-order accurate arbitrary Lagrangian-Eulerian formulations are proposed in a unified framework for both monolithic as well as ...
Niklas Fehn +3 more
semanticscholar +1 more source