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The Dual Characteristic-Galerkin Method
Comptes Rendus. MathématiqueThe Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and L 2 -stability in the case ...
Hecht, Frédéric, Pironneau, Olivier
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The Galerkin Method for Solving Strongly Nonlinear Oscillators. [PDF]
ScientificWorldJournal, 2022 In this paper, we make use of the Galerkin method for solving nonlinear second-order ODEs that are related to some strongly nonlinear oscillators arising in physics and engineering. We derive the iterative schemes for finding the coefficients that appear
Salas AHS.
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On Galerkin difference methods [PDF]
Journal of Computational Physics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeffrey W. Banks, Thomas M. Hagstrom
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Extensions of the deep Galerkin method
Applied Mathematics and Computation, 2022 We extend the Deep Galerkin Method (DGM) introduced in Sirignano and Spiliopoulos (2018)} to solve a number of partial differential equations (PDEs) that arise in the context of optimal stochastic control and mean field games. First, we consider PDEs where the function is constrained to be positive and integrate to unity, as is the case with Fokker ...
Ali Al-Aradi +4 more
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Journal of Modern Power Systems and Clean Energy, 2021 In power systems, there are many uncertainty factors such as power outputs of distributed generations and fluctuations of loads. It is very beneficial to power system analysis to acquire an explicit function describing the relationship between these ...
Hao Wu +5 more
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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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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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On the generalized wavelet-Galerkin method [PDF]
Journal of Computational and Applied Mathematics, 2018 In the frame of the traditional wavelet-Galerkin method based on the compactly supported wavelets, it is important to calculate the so-called connection coefficients that are some integrals whose integrands involve products of wavelets, their derivatives as well as some known coefficients in considered differential equations.
Zhaochen Yang, Shijun Liao
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The meshless Galerkin method for pressure distribution simulation of horizontal well reservoir
Petroleum, 2015 This paper provides a novel three-dimensional meshless Galerkin for horizontal well reservoir simulation. The pressure function is approached by moving least-square method which consists of weight function, basic function and coefficient.
Shuyong Hu +3 more
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Advances in Mechanical Engineering, 2019 In this work, we deal with high-order solver for incompressible flow based on velocity correction scheme with discontinuous Galerkin discretized velocity and standard continuous approximated pressure.
Liyang Xu +5 more
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