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Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form

SIAM Journal on Scientific Computing, 2021
Discontinuous Galerkin difference (GD) methods for the wave equation with variable wave speeds in 1D and 2D are introduced and analyzed. Contrary to prior GD methods, the proposed schemes are based on the use of interpolants on a dual grid leading to discontinuous basis functions.
Jeffrey W. Banks   +3 more
openaire   +2 more sources

Galerkin and discontinuous Galerkin spectral/hp methods

Computer Methods in Applied Mechanics and Engineering, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Warburton, T. C.   +4 more
openaire   +1 more source

Galerkin Optimal Control

Journal of Optimization Theory and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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.   +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
openaire   +2 more sources

Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction [PDF]

open access: yesJournal of Computational Physics, 2017
Submitted to Journal of Computational ...
Harbir Antil   +2 more
exaly   +4 more sources

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   +2 more
openaire   +3 more sources

Galerkin orthogonal polynomials

Journal of Computational Physics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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