We are organizing a minisymposium on Recent Advances in A Posteriori Error Estimation and Adaptive Methods at the 9th International Congress on Industrial and Applied Mathematics (ICIAM2019) which takes place in Valencia (Spain) in July 2019
Session Abstract
Typical approaches towards numerical solutions of complex problems might lead to systems with millions of
unknowns. Therefore, adaptive strategies suggest themselves in order to increase efficiency. However, although
numerical experiments strongly indicate that the use of adaptivity finally pays off, a sound theoretical
justification still has to be developed for large classes of problems. Reaching this goal requires a deep
understanding of structural properties such as, e.g., regularity of the unknown solutions in various function
spaces. On the other hand, elaborated a posteriori error analysis is needed in order to design efficient algorithms
of adaptive finite element or wavelet type.
Confirmed Speakers
- Fleurianne Bertrand (Humboldt Universität zu Berlin, Germany): Stress-reconstruction and a posteriori error estimation for linear elasticity
- Daniele Boffi (Università di Pavia, Italy): Guaranteed a posteriori analysis eigenvalue problems in mixed form
- Carsten Carstensen (Humboldt Universität zu Berlin, Germany): Optimal Convergence Rates of the Least-Squares Method
- Lars Diening (Universität Bielefeld, Germany): Equilibrated Flux a posteriori Estimates for the p-Laplace Problem
- Jan Giesselmann (Darmstadt University of Technology, Germany): A posteriori estimates for random systems of hyperbolic conservation laws
- Jan Papez (INRIA Paris, France)
- Christian Kreuzer (TU Dortmund, Germany): A convergent time-space adaptive nite element method for parabolic problems motivated by equal error distribution
- Ani Miraci (INRIA Paris, France): From an efficient a posteriori algebraic error estimate to a p-robust multilevel solver