Computational Galerkin methods

Computational Approximation with discontinous Galerkin methods and compaRison with Experiments

Computational Approximation with discontinous Galerkin methods and compaRison with Experiments

The environmental benefits of low emissions lean burn technology in reducing NOx emissions up to 80only be effective when these are deployed to a large range of new aero-engine applications. While integrating methodologies for advanced engine architectures and thermodynamic cycles. It will support European engine manufacturers to pick up and keep pace with the US competitors, being already able...

Computational Approximation with discontinous Galerkin methods and compaRison with Experiments

Natural neighbour Galerkin methods

Natural neighbour co-ordinates (Sibson co-ordinates) is a well-known interpolation scheme for multivariate data tting and smoothing. The numerical implementation of natural neighbour co-ordinates in a Galerkin method is known as the natural element method (NEM). In the natural element method, natural neighbour co-ordinates are used to construct the trial and test functions. Recent studies on NE...

Adaptive Fourier-Galerkin methods

We study the performance of adaptive Fourier-Galerkin methods in a periodic box in R d with dimension d ≥ 1. These methods offer unlimited approximation power only restricted by solution and data regularity. They are of intrinsic interest but are also a first step towards understanding adaptivity for the hp-FEM. We examine two nonlinear approximation classes, one classical corresponding to alge...