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Convergence and optimality of adaptive hp-fem

Speaker: 
Claudio Canuto
Institution: 
Politecnico di Torino
Schedule: 
Tuesday, July 14, 2015 - 11:30 to 12:30
Location: 
A-128
Abstract: 

We consider the $hp$-version of the finite element method for the solution of linear elliptic problems. We design an adaptive scheme which hinges on a recent algorithm by P. Binev for adaptive hp-approximation. We prove convergence with contraction rate, and we investigate the optimality properties of the algorithm. This is a joint work with R.H. Nochetto (Maryland), R. Stevenson (Amsterdam), and M. Verani (Politecnico di Milano).

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