Publications in Scientific Journals:
C. Carstensen, D. Praetorius:
"Averaging Techniques for A Posteriori Error Control in Finite Element and Boundary Element Analysis";
Lecture Notes in Applied and Computational Mechanics (invited),
Averaging techniques for a posteriori error control are established
for differential and integral equations within a unifying setting.
The reliability and efficiency of the introduced estimator results
from two grids $\TT_h$ and $\TT_H$ with different polynomial degrees
for a smooth exact solution. The proofs are based on first order
approximation operators and inverse estimates. For a finer and finer
fine mesh $\TT_h$, the estimator becomes asymptotically exact. The
abstract framework is applicable to a finite element method for the
Laplace equation, boundary element methods for Symm's and the
hypersingular integral equation or transmission problems.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.