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Session I.1 - Multiresolution and Adaptivity in Numerical PDEs - Semi-plenary talk

Monday, June 12, 14:00 ~ 15:00

A posteriori error estimation in the maximum norm

Alan Demlow

Texas A&M University, United States   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Finite element error estimation in non-energy norms is important in many applications, but presents significant technical difficulties beyond those encountered when estimating energy norm errors. In this talk I will survey techniques for estimating errors a posteriori in the maximum norm for finite element, including recent results on estimating maximum errors for singularly perturbed convection-diffusion equations. Time permitting, I will also discuss challenges associated with proving convergence of adaptive finite element algorithms for controlling maximum errors.

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