FEMRBF

"FEM-RBF: A geometrically flexible, efficient numerical solution technique for partial differential equations with mixed regularity"

Coordinatore	more  Organization address address: SANKT OLOFSGATAN 10 B city: UPPSALA postcode: 751 05 contact info Titolo: Ms. Nome: Carina Cognome: Lindgren Email: send email Telefono: +46 18 4711058 Fax: +46 18 511925
Nazionalità Coordinatore	Non specificata
Totale costo	123˙694 €
EC contributo	1 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Anno di inizio	2010
Periodo (anno-mese-giorno)	2010-06-01   -   2012-06-30

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	UPPSALA UNIVERSITET  Organization address address: SANKT OLOFSGATAN 10 B city: UPPSALA postcode: 751 05 contact info Titolo: Ms. Nome: Carina Cognome: Lindgren Email: send email Telefono: +46 18 4711058 Fax: +46 18 511925	SE (UPPSALA)	coordinator	123˙694.61

Mappa

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 Obiettivo del progetto (Objective)

'Numerical simulation has become one of the most important tools in science and engineering. The available computer power has been steadily increasing, making it possible to do ever more complex simulations. However, in order to make efficient use of our computers, the state-of-the-art numerical algorithms must also be advanced to a similar degree. In this project, we propose a new hybrid technique designed to address partial differential equations whose solutions are largely smooth, but exhibit singularities or low regularity locally. Non-smoothness can for example occur near corners or cracks, or in media with randomly varying properties. Adaptive finite element methods (FEM) perform well for problems with low regularity, but may be computationally expensive for large-scale problems. Radial basis function (RBF) approximation methods are extremely efficient for smooth problems, but performance is degraded by low regularity. In the hybrid method, FEM and RBFs are employed where they work best, resulting in effective treatment of mixed regularity problems. The geometrical flexibility is inherent since FEM uses adaptive unstructured meshes and RBF is a meshfree method. The implementation of the algorithm will be based on domain decomposition and iterative solution techniques and parallelized to enable large-scale computations for realistic problems. The proposed project is a large undertaking and requires many different skills within the broad area of scientific computing. Together, the researcher Alfa Heryudono and the host research group at Uppsala University possess the required knowledge to succeed, and the fellowship phase is intended to be the beginning of a long-term collaboration between the researcher and the host research group.'