The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift
Henning P, Ohlberger M
Research article (journal) | Peer reviewedAbstract
This contribution is concerned with the formulation of a heterogeneous multiscale finite elements method (HMM) for solving linear advection-diffusion problems with rapidly oscillating coefficient functions and a large expected drift. We show that, in the case of periodic coefficient functions, this approach is equivalent to a discretization of the two-scale homogenized equation by means of a Discontinuous Galerkin Time Stepping Method with quadrature. We then derive an optimal order a-priori error estimate for this version of the HMM and finally provide numerical experiments to validate the method.
Details about the publication
Journal: Networks and Heterogeneous Media (Netw. Heterog. Media)
Volume: 5
Issue: 4
Page range: 711-744
Status: Published
Release year: 2010
Language in which the publication is written: English
Keywords: Advection-diffusion equation; HMM; multiscale methods; Finite Element scheme; error estimate
Authors from the University of Münster
| Henning, Patrick | Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger) |
| Ohlberger, Mario | Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger) |
Projects the publication originates from
Duration: 01/07/2007 - 31/10/2010 Funded by: Federal Ministry of Research, Technology and Space Type of project: Participation in federally funded joint project |
Promotionen, aus denen die Publikation resultiert
| Heterogeneous multiscale finite element methods for advection-diffusion and nonlinear elliptic multiscale problems
Candidate: Henning, Patrick | Supervisors: Ohlberger, Mario Period of time: 01/10/2007 - 21/06/2011 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster |