Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Augsburger Mathematisches Kolloquium

 

Professor Dr. Ngoc Tien Tran
Universität Augsburg

 
spricht am
 
Mittwoch, 17. Dezember 2025
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Finite element discretization for partial differential equations in nondivergence form«

Abstract:
This talk introduces finite element methods for partial differential equations in nondivergence form. They are based on a minimal residual principle that builds upon the Alexandrov-Bakelman-Pucci estimate for strong solutions. Convergence of conforming and nonconforming methods in the maximum norm is established under uniform mesh refinements. The build-in a posteriori error estimator can be utilized in the design of adaptive mesh-refining strategies. As an application, we consider the degenerate Monge-Ampère equation.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Ngoc Tran


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