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Session I.1 - Multiresolution and Adaptivity in Numerical PDEs

Monday, June 12, 16:30 ~ 17:00

Approximation classes for adaptive time-stepping finite element methods

Cornelia Schneider

Friedrich Alexander University Erlangen, Germany   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We study approximation classes for adaptive time-stepping finite element methods for time-dependent Partial Differential Equations (PDEs). We measure the approximation error in $L_2([0,T)\times\Omega)$ and consider the approximation with discontinuous finite elements in time and continuous finite elements in space, of any degree. As a byproduct we define Besov spaces for vector-valued functions on an interval and derive some embeddings, as well as Jackson- and Whitney-type estimates.

Joint work with Marcelo Actis (Universidad del Litoral, Santa Fe, Argentina) and Pedro Morin (Universidad del Litoral, Santa Fe, Argentina).

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