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Compact Textbooks in Mathematics, 2021
In this chapter, we concentrate on the lines of proof of the Browder–Minty Theorem extracting from them the idea of Galerkin type approximation as given in Gajewski et al. (Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademie-Verlag, Berlin, 1974) and also in Franců (Aplikace matematiky 35(4), 257–301, 1990)
M. Galewski
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In this chapter, we concentrate on the lines of proof of the Browder–Minty Theorem extracting from them the idea of Galerkin type approximation as given in Gajewski et al. (Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademie-Verlag, Berlin, 1974) and also in Franců (Aplikace matematiky 35(4), 257–301, 1990)
M. Galewski
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2018
The Galerkin method is a very general framework of methods which is very robust. The idea is as follows. Starting from a variational problem set in an infinite dimensional space, a sequence of finite dimensional approximation spaces is defined. The corresponding finite dimensional approximated problems are then solved, which is usually easier to do ...
H. Dret
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The Galerkin method is a very general framework of methods which is very robust. The idea is as follows. Starting from a variational problem set in an infinite dimensional space, a sequence of finite dimensional approximation spaces is defined. The corresponding finite dimensional approximated problems are then solved, which is usually easier to do ...
H. Dret
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The Discontinuous Galerkin Method [PDF]
, 2014 Accuracy preserving and nonoscillatory shock capturing technique is one of the bottlenecks in the development of discontinuous Galerkin method. In this chapter, a new limiter based on the secondary reconstruction and WENO approach in characteristic space is developed for the discontinuous Galerkin method.
Wanai Li
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SIAM Journal on Numerical Analysis, 2020
We investigate a spectral Galerkin method for the fractional advection-diffusion-reaction equations in one dimension.
Zhaopeng Hao, Zhongqiang Zhang
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We investigate a spectral Galerkin method for the fractional advection-diffusion-reaction equations in one dimension.
Zhaopeng Hao, Zhongqiang Zhang
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SIAM Journal on Numerical Analysis, 2018
We apply the postprocessing Galerkin method to a recently introduced continuous data assimilation (downscaling) algorithm for obtaining a numerical approximation of the solution of the two-dimensional Navier--Stokes equations corresponding to given ...
Cecilia F. Mondaini, E. Titi
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We apply the postprocessing Galerkin method to a recently introduced continuous data assimilation (downscaling) algorithm for obtaining a numerical approximation of the solution of the two-dimensional Navier--Stokes equations corresponding to given ...
Cecilia F. Mondaini, E. Titi
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A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method [PDF]
Computer Methods in Applied Mechanics and Engineering, 2006 Proliferation of degrees-of-freedom has plagued discontinuous Galerkin methodology from its inception over 30 years ago. This paper develops a new computational formulation that combines the advantages of discontinuous Galerkin methods with the data structure of their continuous Galerkin counterparts. The new method uses local, element-wise problems to
Hughes TJR +3 more
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Galerkin and discontinuous Galerkin spectral/hp methods
Computer Methods in Applied Mechanics and Engineering, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Y. Du +4 more
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Journal of Scientific Computing, 2017
We introduce a hybridizable discontinuous Galerkin method for the incompressible Navier–Stokes equations for which the approximate velocity field is pointwise divergence-free.
S. Rhebergen, G. N. Wells
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We introduce a hybridizable discontinuous Galerkin method for the incompressible Navier–Stokes equations for which the approximate velocity field is pointwise divergence-free.
S. Rhebergen, G. N. Wells
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