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math.NA2026
A DPG method for the circular arch problem
Norbert Heuer, Antti H. Niemi
We consider an elastic model for a circular arch that incorporates membrane, transverse shear, and bending effects. The central line of the arch is partitioned into elements, and a…
math.NA2022
A DPG method for Reissner-Mindlin plates
Thomas Führer, Norbert Heuer, Antti H. Niemi
We present a discontinuous Petrov-Galerkin (DPG) method with optimal test functions for the Reissner-Mindlin plate bending model. Our method is based on a variational formulation t…
math.NA2021
A DPG method for shallow shells
Thomas Führer, Norbert Heuer, Antti H. Niemi
We develop and analyze a discontinuous Petrov--Galerkin method with optimal test functions (DPG method) for a shallow shell model of Koiter type. It is based on a uniformly stable…