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Galerkin and discontinuous Galerkin spectral/hp methods

Computer Methods in Applied Mechanics and Engineering, 1999
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Warburton, T. C.   +4 more
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Element‐free Galerkin methods

International Journal for Numerical Methods in Engineering, 1994
AbstractAn element‐free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems. In this method, moving least‐squares interpolants are used to construct the trial and test functions for the variational principle (weak form); the dependent variable and its gradient are ...
Belytschko, T., Lu, Y. Y., Gu, L.
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Discontinuous Galerkin Methods

2008
In this article, we describe some simple and commonly used discontinuous Galerkin methods for elliptic, Stokes and convection-diffusion problems. We illustrate these methods by numerical experiments.
Vivette Girault, Mary F. Wheeler
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Nonlinear Galerkin Methods

SIAM Journal on Numerical Analysis, 1989
This article presents a new method of integrating evolution differential equations—the non-linear Galerkin method—that is well adapted to the long-term integration of such equations.While the usual Galerkin method can be interpreted as a projection of the considered equation on a linear space, the methods considered here are related to the projection ...
Martine Marion, Roger Temam
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