Results 171 to 180 of about 102,961 (219)

Galerkin and discontinuous Galerkin spectral/hp methods

Computer Methods in Applied Mechanics and Engineering, 1999
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Warburton, T. C., Lomtev, I., Du, Y., Sherwin, S. J., Karniadakis, G. E.   +4 more
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Galerkin Optimal Control

Journal of Optimization Theory and Applications, 2016
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Randy Boucher, Wei Kang 0001, Qi Gong
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Galerkin and collocation‐Galerkin methods with superconvergence and optimal fluxes

International Journal for Numerical Methods in Engineering, 1981
AbstractFinite element methods are formulated and investigated for the effectiveness factor problem for heat and mass transfer with chemical reactions in catalyst pellet models. A Galerkin finite element method is compared with a previous C1 collocation method7.
Carey, G. F., Humphrey, D., Wheeler, M. F.   +2 more
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Stochastic Galerkin Matrices

SIAM Journal on Matrix Analysis and Applications, 2010
We investigate the structural, spectral, and sparsity properties of Stochastic Galerkin matrices as they arise in the discretization of linear differential equations with random coefficient functions. These matrices are characterized as the Galerkin representation of polynomial multiplication operators.
Oliver G. Ernst, Elisabeth Ullmann
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The Postprocessing Galerkin and Nonlinear Galerkin Methods---A Truncation Analysis Point of View

SIAM Journal on Numerical Analysis, 2003
Summary: We revisit the postprocessing algorithm and give a justification from a classical truncation analysis point of view. We assume a perturbation expansion for the high frequency mode component of solutions to the underlying equation. Keeping terms to certain orders, we then generate approximate systems which correspond to numerical schemes.
Len G. Margolin, Edriss S. Titi, Shannon Wynne   +2 more
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Galerkin orthogonal polynomials

Journal of Computational Physics, 2010
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DISCONTINUOUS GALERKIN FOR TURBULENT FLOWS

2011
The purpose of this chapter is to present all the relevant features of a high-order DG method developed over the years for the numerical solution of the RANS and k-w equations. The method has been implemented using orthogonal and hierarchical modal shape functions defined in the real space.
Francesco Bassi, Lorenzo Botti, Alessandro Colombo, GHIDONI, Antonio, REBAY, Stefano   +4 more
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The Galerkin approach

1998
The process of transforming a problem from a differential equation to a weak variational form was established in chapter 6. Now, trial functions and, in particular, the finite element form of trial functions are used with the variational form. The end result does not differ from earlier chapters; the same stiffness matrix and equations are derived, but
David Henwood, Javier Bonet
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The Galerkin Method

1977
Consider a separable Hilbert space H and a set M of its elements which is dense in H. According to Theorem 6.18, p. 79, if for some element u ∈ H $$\left( {u,v} \right) = 0\,\,\,holds\,for\,every\,\,\,v \in M,$$ (14.1) then it follows that u = 0 in H. Let now $${\varphi _1},{\varphi _2},\,...$$ (14.2) be a base in H. The assertion is
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Galerkin schemes and the sinc-Galerkin method for singular Sturm-Liouville problems

Journal of Computational Physics, 1990
The computation of the eigenvalues of the Sturm-Liouville problem \(Lu(x)\equiv -u''(x)+q(x)u(x)=\lambda \rho (x)u(x),\quad ...
Jarratt, Mary, Lund, John, Bowers, Kenneth L.   +2 more
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