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SEMINARS
Lowest-Order Discontinuous Petrov-Galerkin Schemes
时间  Datetime
2018-07-18 16:00 — 17:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Prof. Carsten Carstensen
单位  Affiliation
Department of Mathematics, Humboldt University of Berlin, Germany
邀请人  Host
Jianguo Huang
报告摘要  Abstract

The presentation gives a quick insight into the discontinuous Petrov-Galerkin  (dPG) methodology as a minimum residual method with broken test norms. Besides high flexibility in the mesh design it enjoys a built-in a posteriori error control in some computable residual term plus data approximation terms and is parameter free. This talk advocates an alternative error estimator, which is globally equivalent, but allows for the proof of the axioms of adaptivity and so guarantees optimal convergence rates of the associated adaptive algorithm. The presentation is based on joint work with Friederike Hellwig.