In this research, we develop an innovative and efficient numerical method for solving a nonlinear one-dimensional time-fractional convection-diffusion-reaction equation (TFCDRE) with a variable coefficient.
Anthony Anya Okeke +3 more
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Local discontinuous Galerkin methods for the Stokes system
SAM Research Report, 2000 ...
Cockburn, B. +3 more
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Wave propagation modeling in heterogeneous media requires numerical methods that can simultaneously handle complex geometries, artificial boundary reflections, and spatially varying resolution demands.
Meng Li +3 more
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A Local Discontinuous Galerkin Method for the Propagation of Phase Transition in Solids and Fluids
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Lulu Tian +3 more
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A localized orthogonal decomposition strategy for hybrid discontinuous Galerkin methods
We formulate and analyze a multiscale method for an elliptic problem with an oscillatory coefficient based on a skeletal (hybrid) formulation. More precisely, we employ hybrid discontinuous Galerkin approaches and combine them with the localized orthogonal decomposition methodology to obtain a coarse-scale skeletal method that effectively includes fine-
Peipei Lu, Roland Maier, Andreas Rupp
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A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]
Jaśkowiec J, Pamin J.
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A priori and a posteriori error analysis of the first order hyperbolic equation by using DG method. [PDF]
Hossain MS, Xiong C, Sun H.
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An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method. [PDF]
Chen JF, Gu XM, Li L, Zhou P.
europepmc +1 more source
Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation. [PDF]
Gómez S, Perinati C, Stocker P.
europepmc +1 more source
Transmission dynamics of a novel HIV/AIDS model through a higher-order Galerkin time discretization scheme. [PDF]
Attaullah +4 more
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