Results 171 to 180 of about 367,212 (211)

An $L^2$-Projection for the Galerkin-Characteristic Solution of Incompressible Flows

SIAM Journal of Scientific Computing, 2011
This work is devoted to the development of an accurate Galerkin-characteristic method for simulation of incompressible viscous flows. The Galerkin-characteristic formulation is obtained by using a semi-Lagrangian discretization of the total derivative. The spatial discretization is performed using the finite element method on unstructured meshes.
Mofdi El Amrani, Mohammed Seaid
exaly   +3 more sources

An Error Analysis for Rational Galerkin Projection Applied to the Sylvester Equation

SIAM Journal on Numerical Analysis, 2011
The author develops a new formula for the residual of Galerkin projections onto rational Krylov spaces with fixed denominator polynomial. The formula is applied to both the Sylvester and Lyapunov matrix equations and the residual of the Galerkin projection is compared to the one of the alternating direction implicit method.
Bernhard Beckermann
exaly   +2 more sources

A consistent projection integration for Galerkin meshfree methods

Computer Methods in Applied Mechanics and Engineering, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Junfeng, Ren, Xiaodan
openaire   +1 more source

The $L^2$-Projection and Quasi-Optimality of Galerkin Methods for Parabolic Equations

SIAM Journal on Numerical Analysis, 2016
Summary: We consider linear parabolic initial-boundary value problems and analyze Galerkin approximation in space. With the help of the inf-sup theory, we derive quasi-optimality results with respect to norms that arise from the standard weak formulation and from a formulation requiring only integrability in time.
Andreas Veeser
exaly   +2 more sources

POD-Galerkin Projection of Flapping Wings

49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 2011
Direct numerical simulation (DNS) and POD-Galerkin projection using a general pressure correction method are conducted for a flapping wing in pitching and plunging motion with a pitching amplitude of 10o, 20o and 30o. POD analysis shows that most turbulent kinetic energy (95%) is contained by the first four modes.
Zongxian Liang, Haibo Dong, Philip Beran
openaire   +1 more source

Galerkin Projections for Delay Differential Equations

Journal of Dynamic Systems, Measurement, and Control, 2003
We present a Galerkin projection technique by which finite-dimensional ordinary differential equation (ODE) approximations for delay differential equations (DDEs) can be obtained in a straightforward fashion. The technique requires neither the system to be near a bifurcation point, nor the delayed terms to have any specific restrictive form, or even ...
Wahi, Pankaj, Chatterjee, Anindya
openaire   +1 more source

Using a Galerkin Projection Method for Coupled Problems

IEEE Transactions on Magnetics, 2008
For coupled problems, two different coupling strategies, either direct or indirect, can be used. One of the advantages of the indirect coupling strategy is its ability to solve each problem separately on dedicated meshes. However, such a technique requires a projection method of each solution obtained on one mesh onto another one.
Guillaume Parent, Patrick Dular, Francis Piriou   +2 more
exaly   +5 more sources

Galerkin Projections and Finite Elements for Fractional Order Derivatives

Nonlinear Dynamics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Singh, Satwinder Jit, Chatterjee, Anindya   +1 more
openaire   +2 more sources

Superconvergence and H(div) projection for discontinuous Galerkin methods

International Journal for Numerical Methods in Fluids, 2003
AbstractWe introduce and analyse a projection of the discontinuous Galerkin (DG) velocity approximations that preserve the local mass conservation property. The projected velocities have the additional property of continuous normal component. Both theoretical and numerical convergence rates are obtained which show that the accuracy of the DG velocity ...
Bastian, Peter, Rivière, Béatrice
openaire   +1 more source

Eigenvalues of the Jacobian of a Galerkin-Projected Uncertain ODE System

SIAM Journal on Scientific Computing, 2011
Projection onto polynomial chaos (PC) basis functions is often used to reformulate a system of ordinary differential equations (ODEs) with uncertain parameters and initial conditions as a deterministic ODE system that describes the evolution of the PC modes. The deterministic Jacobian of this projected system is different and typically much larger than
Benjamin E. Sonday, Robert D. Berry, Habib N. Najm, Bert J. Debusschere   +3 more
openaire   +2 more sources