Redaktion: K. Sigmund, G. Greschonig (Univ. Wien, Strudlhofgasse ...

Numerische Mathematik, Wissenschaftliches Rechnen 153
where 0 � ε ¤ 1� Our method is based on a collocation with quadratic spline as an
approximation function. The collocation points are defined by non-uniform mesh
of Bakhvalov and Shishkin type [1], [2]. Numerical results which demonstrate the
effectiveness of the method are presented.
[1] N. S. Bakhvalov, “On optimization of methods to slove boundary value problems
with boundary layers”, Zh. Vychisl. Mat. Mat. Fiz. 9, (1969), 841-859
[2] P. A. Farrell, A. F. Hegarty, J. J. H. Miller, E. O’Riordan, G. I. Shishkin,
“Robust Computational Techniques for Boundary Layers”, CRC Press LLC,
(2000)
Discretisation of Elliptic PDEs on Complicated Geometries
STEFAN SAUTER
Institut für Mathematik, Universität Zürich
Winterthurerstr. 190, CH-8057 Zürich
stas@amath.unizh.ch
http://www.math.unizh.ch/compmath/
Composite Finite Elements allow the low-dimensional discretisation of boundary
value problems on complicated geometries. The minimal number of unknowns is
independent of the size and number of geometric details. In our talk we discuss
the application of composite finite elements to
the low-dimensional discretisation of PDEs on complicated domains,
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the a-posteriori controled design of problem-adapted finite element spaces
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on complicated geometries,
¥ black-box multigrid methods on complicated domains.
Residual-Based A Posteriori Error Estimate for a Mixed
Reissner-Mindlin Plate Finite Element Method
JOACHIM SCHÖBERL
(gemeinsam mit Carsten Carstensen)
SFB “Numerical and Symbolic Scientific Computing”
Johannes Kepler Universität Linz
joachim@sfb013.uni-linz.ac.at
http://www.sfb013.uni-linz.ac.at/˜joachim
Reliable and efficient residual-based a posteriori error estimates are established
for the stabilised locking-free finite element methods for the Reissner-Mindlin
plate model. The error is estimated by a computable error estimator from above