Results 191 to 200 of about 37,719 (241)
Approximate Solution to Nonlinear Dynamics of a Piezoelectric Energy Harvesting Device Subject to Mechanical Impact and Winkler-Pasternak Foundation. [PDF]
Marinca V, Herisanu N, Marinca B.
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Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form
SIAM Journal on Scientific Computing, 2021Discontinuous 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
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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.
Warburton, T. C. +4 more
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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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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Randy Boucher, Wei Kang 0001, Qi Gong
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Galerkin and collocationāGalerkin methods with superconvergence and optimal fluxes
International Journal for Numerical Methods in Engineering, 1981AbstractFinite 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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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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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, 2003Summary: 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
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Galerkin orthogonal polynomials
Journal of Computational Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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DISCONTINUOUS GALERKIN FOR TURBULENT FLOWS
2011The 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 +4 more
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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 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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