Contributions to Books:

C. Erath, S. Funken, D. Praetorius:
"Adaptive cell-centered finite volume method";
in: "ASC Report 01/2008", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2008, ISBN: 978-3-902627-01-8.

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:

Created from the Publication Database of the Vienna University of Technology.