Contributions to Books:
J. Melenk, H. Rezaijafari, B. Wohlmuth:
"Quasi-optimal a priori estimates for fluxes in mixed finite element methods and applications to the Stokes-Darcy coupling";
in: "ASC Report 05/2012",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2012,
ISBN: 978-3-902627-05-6,
1
- 23.
English abstract:
We show quasi-optimal a priori convergence results in the $L^2$-norm on interfaces for the approximation of the normal component of the flux in mixed finite element methods.
Compared to standard estimates for this problem class, an additional factor $\sqrt{h} | \log h |$ in the {\sl a priori} bound for the flux variable is obtained by using new upper estimates in strips of width $O(h)$ near these interfaces. An important role in the analysis play anisotropic and weighted norms. Numerical results including an application to the Darcy--Stokes coupling illustrate our theoretical results.
Keywords:
anisotropic norms, local FEM error analysis, mixed finite elements, saddle point problem, Stokes-Darcy coupling, weighted norms
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2012/asc05x2012.pdf
Created from the Publication Database of the Vienna University of Technology.