Congratulations to Jan Obloj who has been awarded the title of Professor in the University of Oxford's annual Recognition of Distinction exercise.
16:00
'Torsion points of elliptic curves and related questions of geometry of curves over number fields'.
Abstract
Seminar series `Symmetries and Correspondences'
Instance optimality for the maximum strategy
Abstract
We study the adaptive finite element approximation of the Dirichlet problem $-\Delta u = f$ with zero boundary values using newest vertex bisection. Our approach is based on the minimization of the corresponding Dirichlet energy. We show that the maximums strategy attains every energy level with a number of degrees of freedom, which is proportional to the optimal number. As a consequence we achieve instance optimality of the error. This is a joint work with Christian Kreuzer (Bochum) and Rob Stevenson (Amsterdam).
Oxford Mathematician and Charles Simonyi Professor for the Public Understanding of Science, Marcus du Sautoy, has received the award of Doctor of Science of the University of South Wales for his outstanding research record in mathematics and his exceptional contribution to the promotion of the public understanding of mathematics and science. He will receive the award on 13th July 2015.