Conference abstracts

Session B6 - Multiresolution and Adaptivity in Numerical PDEs

July 14, 15:00 ~ 15:25

Reliable computations and self adapted methods in nonlinear phenomena

Charalambos Makridakis

IACM-FORTH Crete and Univ. of Sussex   -

The computation of singular phenomena (shocks, defects, dislocations, interfaces, cracks) arises in many complex systems. For computing such phenomena, it is natural to seek methods that are able to detect them and to devote the necessary computational recourses to their accurate resolution. At the same time, we would like to have mathematical guarantees that our computational methods approximate physically relevant solutions. Our purpose in this talk is to review results and discuss related computational challenges for such nonlinear problems modelled either by PDEs or are a result of Micro / Macro adaptive modelling methods.

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FoCM 2017, based on a nodethirtythree design.