Insalate di Matematica: Urmila Bosisio

Adaptive approximation of functions using trees
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Wednesday 13 May 2026 at 4:45 pm, as part of the Insalate di Matematica seminar cycle, Urmila Bosisio (University of Milano) will give the following talk

Title: Adaptive approximation of functions using trees

Abstract: The main focus of the seminar will be the study of instance optimal algorithms for the adaptive approximation of functions, closely related to applications in adaptive finite element methods. The approach we shall focus on bases on organizing the degrees of freedom (DOFs) in trees, following Binev and DeVore (2004). A key ingredient of such algorithms is the so-called marking strategy which, with the help of local quantities called marking indicators, decides where to introduce new DOFs. These marking indicators are based on local errors, which in applications are subadditive or, more general, stable. The aim of the seminar is to briefly describe the state of the art, to expand the known literature in the stable case and to propose a new type of marking indicator, proving that it leads to instance optimality.

Keywords: Adaptive approximation, trees, DOF

Information to attend

The seminar will be held in Room U9-09 (U9 Building | Viale dell’Innovazione 10, Milano) and will also be available online by this link (password: insalate, 46725283 from phones).

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