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A Multiscale Discontinuous Galerkin Method
2006We propose a new class of Discontinuous Galerkin (DG) methods based on variational multiscale ideas. Our approach begins with an additive decomposition of the discontinuous finite element space into continuous (coarse) and discontinuous (fine) components.
Pavel B. Bochev +2 more
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Discrete Wavelet Petrov–Galerkin Methods
Advances in Computational Mathematics, 2002The authors developed a discrete wavelet Petrov-Galerkin (DWPG) method for integral equations of the second kind with weakly singular kernels. This class of equations arises from the reformulation of boundary value problems of partial differential equations as integral equations.
Zhongying Chen +2 more
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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 ...
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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 ...
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A Note on the Galerkin Method's Stability
Mathematische Nachrichten, 1995AbstractNumerical stability of the Galerkin method for some class of semilinear evolution equations is studied. The stability is established in thelp(1 <p < ∞) norms. Our results are applied to the special coordinate systems. All the conditions of the stability theorems proved in this note may be readily verifiable in practice for them.
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An iterative analog of galerkin's method
Ukrainian Mathematical Journal, 1989See the review in Zbl 0671.47059.
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A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering, 2006
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An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems
SIAM Journal of Scientific Computing, 2022Yong Liu, Jianfang Lu, Chi-Wang Shu
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The hybrid complex variable element-free Galerkin method for 3D elasticity problems
Engineering Structures, 2020Heng Cheng +2 more
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Numerical solutions of RLW equation using Galerkin method with extrapolation techniques
Computer Physics Communications, 2012Liquan Mei
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