Objective
An important constraint on our ability to numerically simulate important physical processes is our ability to solve the linear and non-linear systems of equations that result from discretization of continuous mathematical models (partial differential equations). A useful computational model of a physical process is one that is accurate (includes features and scales that are important to the scientific goals) and that can be solved efficiently (acceptable computational solution time on available resources).
Multiscale methods, such as multigrid, provide optimal order solution techniques for a wide range of these discrete models; however, efficient modelling of many important physical phenomena remains intractable. We propose to continue the recent development of adaptive algebraic multigrid methods and, thus, develop efficient solvers for industrial applications, such as seismic wave migration, electromagnetics, and prosthesis design.
Recent advances in multigrid methodology, implemented in the adaptive algebraic multigrid algorithm, reduce the reliance of multigrid on limiting assumptions about the performance of its component parts. Complementarity between the chosen relaxation algorithm and the coarse-grid correction stage is, instead, achieved through a careful construction of the grid-transfer operators that explicitly depends on the discrete model and performance of relaxation. While this, in principle, allows efficient multigrid solution of a much larger class of problems, other challenges arise in the implementation of these ideas, particularly when the mathematical model includes complex-valued coefficients, a large near null space, or a system of PDEs. Such models, however, are ubiquitous in modern industrial applications, and so we seek to extend the adaptive algebraic multigrid algorithm to overcome such challenges.
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: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
- medical and health sciences medical biotechnology implants
- natural sciences mathematics applied mathematics mathematical model
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2004-MOBILITY-7
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
IIF - Marie Curie actions-Incoming International Fellowships
Coordinator
DELFT
Netherlands
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.