Talks and Poster Presentations (with Proceedings-Entry):
C. Erath, S. Funken, D. Praetorius:
"Adaptive cell-centered finite volume method";
Talk: 5th International Symposium on Finite Volumes for Complex Applications,
Aussois;
06-08-2008
- 06-13-2008; in: "Finite Volumes for Complex Applications V",
R. Eymard, J. Hérard (ed.);
John Wiley & Sons,
(2008),
ISBN: 9781848210356;
359
- 366.
English abstract:
We propose an adaptive mesh-refining strategy for the cell-centered
FVM based on some a~posteriori error control for the quantity
$\norm{\nabla_\TT(u-\II u_h)}{L^2}$. Here, $u_h\in \PP^0(\TT)$
denotes the FVM approximation of $u$ and $\I$ is a certain
interpolation operator. As model example serves the Laplace equation
with mixed boundary conditions, where our contributions extend a
result of [Nicaise, SINUM 2005]. Moreover, this approach allows the
coupling of finite volume schemes with the boundary element method,
which is a new and fruitful combination of the FVM with ideas from
[Carstensen, Funken, COMPUTING 1999].
Electronic version of the publication:
http://www.asc.tuwien.ac.at/~dirk/download/published/efp2008_revised.pdf
Created from the Publication Database of the Vienna University of Technology.