Results 11 to 20 of about 68,141 (218)
Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin Methods [PDF]
, 2012 In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinuous Galerkin methods only assuming the stabilizing parameters are large ...
Gudi, Thirupathi, Guzmán, Johnny
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Steady-State Simulation of Semiconductor Devices Using Discontinuous Galerkin Methods
IEEE Access, 2020 Design of modern nanostructured semiconductor devices often calls for simulation tools capable of modeling arbitrarily-shaped multiscale geometries. In this work, to this end, a discontinuous Galerkin (DG) method-based framework is developed to simulate ...
Liang Chen, Hakan Bagci
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Journal of Harbin University of Science and Technology, 2022 The equivalence between direct flux reconstruction method and discontinuous Galerkin method for solving parabolic equation and convection-diffusion equation is studied.
BI Hui, LIU Lei
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Numerical Solution of Non-Linear Prey-Predator System using Finite Elements Method [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 A non-linear prey-predator system solved numerically by Galerkin method, and we compare these results with the results of Pius Peter Nyaanga[6] who used finite difference methods, we found that Galerkin finite elements method is faster than finite ...
Saad Manaa, Ahmed Qasem
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Spherical Grid Creation and Modeling Using the Galerkin Compiler GC_Sphere
Atmosphere, 2023 The construction of spherical grids is, to a large extent, a question of organized programming. Such grids come in the form of rhomboidal/triangular grids and hexagonal grids.
Jürgen Steppeler
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Comparison of implicit time-discretization schemes for hybridized discontinuous Galerkin methods
Applied and Computational Mechanics, 2022 The present study is focused on the application of two families of implicit time-integration schemes for general time-dependent balance laws of convection-diffusion-reaction type discretized by a hybridized discontinuous Galerkin method in space, namely ...
Levý T., May G.
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Stability-preserving model order reduction for linear stochastic Galerkin systems
Journal of Mathematics in Industry, 2019 Mathematical modeling often yields linear dynamical systems in science and engineering. We change physical parameters of the system into random variables to perform an uncertainty quantification.
Roland Pulch
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Journal of Inequalities and Applications, 2010 We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Hyun Young Lee +2 more
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Stochastic Discontinuous Galerkin Methods (SDGM) based on fluctuation-dissipation balance
Results in Applied Mathematics, 2019 We introduce a general framework for approximating parabolic Stochastic Partial Differential Equations (SPDEs) based on fluctuation-dissipation balance. Using this approach we formulate Stochastic Discontinuous Galerkin Methods (SDGM).
W. Pazner, N. Trask, P.J. Atzberger
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Adaptive Spectral Galerkin Methods with Dynamic Marking [PDF]
, 2015 The convergence and optimality theory of adaptive Galerkin methods is almost exclusively based on the D\"orfler marking. This entails a fixed parameter and leads to a contraction constant bounded below away from zero.
Canuto, Claudio +3 more
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