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Well-Balanced High-Order Discontinuous Galerkin Methods for Systems of Balance Laws
Mathematics, 2021 This work introduces a general strategy to develop well-balanced high-order Discontinuous Galerkin (DG) numerical schemes for systems of balance laws.
Ernesto Guerrero Fernández +2 more
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EXPLORING TRANSIENT, NEUTRONIC, REDUCED-ORDER MODELS USING DMD/POD-GALERKIN AND DATA-DRIVEN DMD [PDF]
EPJ Web of Conferences, 2021 There is growing interest in the development of transient, multiphysics models for nuclear reactors and analysis of uncertainties in those models. Reduced-order models (ROMs) provide a computationally cheaper alternative to compute uncertainties. However,
Elzohery Rabab, Roberts Jeremy
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Comparison of the stability of discontinuous Galerkin and finite-difference methods
Lietuvos Matematikos Rinkinys, 2002 In this article we present stability analysis of two discrete schemes, which are used to solve a parabolic problem on adaptive nonstationary meshes. The influence of interpolation and projection errors is investigated.
Raimondas Čiegis +2 more
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High order discontinuous Galerkin methods on surfaces [PDF]
, 2014 We derive and analyze high order discontinuous Galerkin methods for second-order elliptic problems on implicitely defined surfaces in $\mathbb{R}^{3}$. This is done by carefully adapting the unified discontinuous Galerkin framework of Arnold et al. [2002]
Antonietti, Paola +5 more
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A test of the Source Galerkin method [PDF]
Nuclear Physics B - Proceedings Supplements, 2003 Talk presented at LATTICE2002, 3 pages, 2 ...
Petrov, D., Emirdag, P., Guralnik, G. S.
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Efficient Galerkin finite element methods for a time-fractional Cattaneo equation
Advances in Difference Equations, 2020 In this paper, we develop two efficient fully discrete schemes for solving the time-fractional Cattaneo equation, where the fractional derivative is in the Caputo sense with order in ( 1 , 2 ] $(1, 2]$ .
An Chen, Lijuan Nong
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On the Convergence of Adaptive Iterative Linearized Galerkin Methods [PDF]
, 2019 A wide variety of different (fixed-point) iterative methods for the solution of nonlinear equations exists. In this work we will revisit a unified iteration scheme in Hilbert spaces from our previous work that covers some prominent procedures (including ...
Heid, Pascal, Wihler, Thomas P.
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Short Review of Current Numerical Developments in Meteorological Modelling
AtmosphereThis paper reviews current numerical developments for atmospheric modelling. Numerical atmospheric modelling now looks back to a history of about 70 years after the first successful numerical prediction.
Jürgen Steppeler
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Buildings, 2023 A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method.
Yunbo Zhang, Kun Huang, Wei Xu
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Discontinuous Galerkin Methods with Trefftz Approximation
, 2013 We present a novel Discontinuous Galerkin Finite Element Method for wave propagation problems. The method employs space-time Trefftz-type basis functions that satisfy the underlying partial differential equations and the respective interface boundary ...
Kretzschmar, Fritz +3 more
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