Results 181 to 190 of about 367,212 (211)

Nonlinear Projection Filter Based on Galerkin Approximation

Journal of Guidance, Control, and Dynamics, 1999
The conditional probability density function of the state of a stochastic dynamic system represents the complete solution to the nonlinear Ž ltering problem because, with the conditional density in hand, all estimates of the state, optimal or otherwise, can be computed.
Randal Beard, John Kenney, Jacob Gunther, Jonathan Lawton, Wynn Stirling   +4 more
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A Galerkin projection method for mixed finite elements

IEEE Transactions on Magnetics, 1999
The aim of the proposed method is the projection of an electromagnetic field belonging to a given function space (continuous or not) onto a discrete one spanned by finite element basis functions. This technique is useful for imposing inhomogeneous boundary conditions or volumic source fields, for calculating a dual field given the primal one or for ...
Geuzaine, Christophe, Meys, B., Dular, Patrick, Henrotte, F., Legros, Willy   +4 more
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Bounds of Galerkin Projections on Splines with Highly Nonuniform Meshes

SIAM Journal on Numerical Analysis, 1981
Let u be the solution of an ordinary boundary value problem and $P^\pi u$ the Galerkin projection on a space of piecewise polynomial functions of degree $ \leqq r$. We are going to prove that the following estimate holds with $L_\infty $-norms; \[ \left\| {P^\pi u - u} \right\|_{[0,1]} \leqq C \mathop {\max }\limits_i h_i^{ * r + 1} \left\| {u^{(r + 1)}
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Entropy stable Galerkin projection reduced order model for the discontinuous Galerkin method

Reduced order models are desired due to the fewer number of variables required to solve for a full order solution. This theoretically reduces the number of computations required to achieve similar results. A projection based model assumes that the solution lies on a lower order subspace.
Ofstie, Tyson, Nadarajah, Siva
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Exact Projections and the Lagrange-Galerkin Method: A Realistic Alternative to Quadrature

Journal of Computational Physics, 1994
The paper presents an extensive study of the instability of the Lagrange- Galerkin method when quadratures are applied in the evaluation of integrals. In a number of theorems instability is proved for much wider classes of quadrature formulae than previously thought.
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A semi-Lagrangian-Galerkin projection scheme for convection equations

IMA Journal of Numerical Analysis, 2009
We introduce in this paper a semi-Lagrangian-Galerkin projection scheme to discretize backwards in time along the characteristics the convection terms of convection-diffusion equations. The scheme consists of a transport step in which the elements of the fixed mesh are transported backwards along the characteristic curves, thus generating a new mesh ...
R. Bermejo, J. Carpio
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Galerkin projections and the proper orthogonal decomposition for equivariant equations

Physics Letters A, 1993
Abstract In this paper we are interested in Galerkin projections of certain partial differential evolution equations, that retain the symmetries of the original nontruncated equations. In particular, we extend several results concerning the Galerkin projections, based on the proper orthogonal decomposition (which is also known as the Karhunen-Loeve ...
Gal Berkooz, Edriss S. Titi
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Multigrid transfers for nonsymmetric systems based on Schur complements and Galerkin projections

Numerical Linear Algebra with Applications, 2013
SUMMARYA framework is proposed for constructing algebraic multigrid transfer operators suitable for nonsymmetric positive definite linear systems. This framework follows a Schur complement perspective as this is suitable for both symmetric and nonsymmetric systems.
Tobias A. Wiesner, Raymond S. Tuminaro, Wolfgang A. Wall, Michael W. Gee   +3 more
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Reduction of nonlinear models using balancing of empirical gramians and Galerkin projections

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
Nonlinear model predictive control has become increasingly popular in the chemical process industry. However, computational requirements grow with the complexity of the models. Many rigorous dynamic models require too much computation time to be useful for real-time model based controllers. This presents a need for model reduction techniques.
Juergen Hahn, Thomas F. Edgar
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A Novel Discontinuous Galerkin Projection Scheme for the Hydrodynamics of Nematic Liquid Crystals

Communications in Nonlinear Science and Numerical Simulation
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Zhihui Zheng, Guang-an Zou, Bo Wang 0014
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