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

Project Information

FEMRBF

Grant agreement ID: 235730

Project closed

Start date 1 June 2010

End date 30 June 2012

Funded under

• Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Total cost € 123 694,61

EU contribution € 123 694,61

Coordinated by

UPPSALA UNIVERSITET
Sweden

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.

Fields of science (EuroSciVoc)

CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.

• natural sciences › computer and information sciences › computational science
• natural sciences › mathematics › pure mathematics › mathematical analysis › differential equations › partial differential equations

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Programme(s)

• FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Topic(s)

• FP7-PEOPLE-IIF-2008 - Marie Curie Action: "International Incoming Fellowships"

Call for proposal

FP7-PEOPLE-IIF-2008
See other projects for this call

Funding Scheme

MC-IIF - International Incoming Fellowships (IIF)

Coordinator

UPPSALA UNIVERSITET

• EU contribution: € 123 694,61
• Address: VON KRAEMERS ALLE 4 ; 751 05 Uppsala ; Sweden
• Region: Östra Sverige › Östra Mellansverige › Uppsala län
• Activity type: Higher or Secondary Education Establishments
• Total cost: No data