A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift
Henning P, Ohlberger M
Research article (journal) | Peer reviewedAbstract
In this contribution we address a-posteriori error estimation inL∞(L2) for a heterogeneous multiscale finite element approximation of time-dependent advection-diffusion problems with rapidly oscillating coefficient functions and with a large expected drift. Based on the error estimate, we derive an algorithm for an adaptive mesh refinement. The estimate and the algorithm are validated in numerical experiments, showing applicability and good results even for heterogeneous microstructures.
Details about the publication
Journal: Discrete and Continuous Dynamical Systems - Series S
Volume: 9
Issue: 5
Page range: 1393-1420
Status: Published
Release year: 2016
Language in which the publication is written: English
Keywords: Advection-diffusion; HMM; multiscale method; error estimation
Authors from the University of Münster
| Ohlberger, Mario | Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger) Center for Nonlinear Science Center for Multiscale Theory and Computation (CMTC) |
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 |