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math.NA2020
A robust DPG method for large domains
Thomas Führer, Norbert Heuer
We observe a dramatic lack of robustness of the DPG method when solving problems on large domains and where stability is based on a Poincaré-type inequality. We show how robustness…
math.NA2020
A locking-free DPG scheme for Timoshenko beams
Thomas Führer, Carlos García Vera, Norbert Heuer
We develop a discontinuous Petrov-Galerkin scheme with optimal test functions (DPG method) for the Timoshenko beam bending model with various boundary conditions, combining clamped…