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Title [sv]
Adaptiva finita element metoder för multifysik-multiskal problem
Title [en]
Adaptive finite element methods for multiphysics-multiscale problems
Abstract [sv]
Many problems in science and engineering involve several types of physics coupled over multiple scales, Such problems, so called multiphysics-multiscale problems, are often solved by connecting single physics solvers into a coupled solver. There is however no technology available that guarantees overall accuracy in a coupled solver and practitioners typically tune the discretization parameters in each single physics solver manually. When one attempts to solve complex problems this becomes very difficult, creating a demand for adaptive algorithms. We propose to develop a priori and a posteriori error estimates as well as adaptive algorithms for complex multiphysics-multiscale problems. Initial results are available for some basic applications including one-way coupled problems. We will also use our theory to construct improved iterative solver strategies for coupled solvers. Furthermore, we propose to develop our adaptive multiscale method and apply it to more complex problems including transport problems and flow in porous media governed by coupled pressure-transport problems. Our approach builds on a systematic technique for approximation of the fine scales using decoupled localized subgrid problems, which are solved numerically, together with adaptive algorithms. Since the localized problems are decoupled they can be solved in parallel and we can take advantage of modern parallel computer architectures.
Principal InvestigatorLarson, Mats G
Coordinating organisation
Umeå University
Funder
Period
2011-01-01 － 2013-12-31
Identifiers
DiVA, id: project:1047Project, id: 2010-05838_VR

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