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Galerkin projection of discrete fields via supermesh construction

2009
Interpolation of discrete FIelds arises frequently in computational physics. This thesis focuses on the novel implementation and analysis of Galerkin projection, an interpolation technique with three principal advantages over its competitors: it is optimally accurate in the L2 norm, it is conservative, and it is well-defined in the case of spaces of ...
openaire   +2 more sources

On the application of Galerkin projection based polynomial chaos in linear systems and control

Automatica
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luca Luciano Evangelisti, Harald Pfifer
openaire   +1 more source

Galerkin Projections Between Finite Element Spaces

2015
Adaptive mesh refinement schemes are used to find accurate low-dimensional approximating spaces when solving elliptic PDEs with Galerkin finite element methods. For nonlinear PDEs, solving the nonlinear problem with Newton's method requires an initial guess of the solution on a refined space, which can be found by interpolating the solution from a ...
openaire   +1 more source

Proper orthogonal decomposition–Galerkin projection method for quasi-two-dimensional laminar hydraulic transient flow

Journal of Hydraulic Research/De Recherches Hydrauliques, 2021
Bonchan Koo, Hyunsoo Kim, Sangwoo Kim
exaly  

Space--Time Least-Squares Petrov--Galerkin Projection for Nonlinear Model Reduction

SIAM Journal of Scientific Computing, 2019
Youngsoo Choi, Kevin Carlberg
exaly  

An Error Analysis of Galerkin Projection Methods for Linear Systems with Tensor Product Structure

SIAM Journal on Numerical Analysis, 2013
Daniel Kressner, Bernhard Beckermann
exaly  

Comparison of implementation techniques for Galerkin projection between different meshes

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2014
Thomas Henneron, Francis Piriou
exaly  

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