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06/22/2023
A balanced finite-element method for an axisymmetrically loaded thin shell
We analyse a finite-element discretisation of a differential equation de...
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05/15/2023
Mixed finite elements for Kirchhoff-Love plate bending
We present a mixed finite element method with parallelogram meshes for t...
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01/30/2023
Robust DPG Fortin operators
At the fully discrete setting, stability of the discontinuous Petrov–Gal...
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01/25/2023
A DPG method for the quad-curl problem
We derive an ultraweak variational formulation of the quad-curl problem ...
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05/26/2022
A DPG method for Reissner-Mindlin plates
We present a discontinuous Petrov-Galerkin (DPG) method with optimal tes...
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12/30/2021
DPG methods for a fourth-order div problem
We study a fourth-order div problem and its approximation by the discont...
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10/29/2021
MINRES for second-order PDEs with singular data
Minimum residual methods such as the least-squares finite element method...
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07/15/2021
A DPG method for shallow shells
We develop and analyze a discontinuous Petrov–Galerkin method with optim...
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03/22/2021
Analysis of backward Euler primal DPG methods
We analyse backward Euler time stepping schemes for the primal DPG formu...
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11/24/2020
A robust DPG method for large domains
We observe a dramatic lack of robustness of the DPG method when solving ...
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04/01/2020
A locking-free DPG scheme for Timoshenko beams
We develop a discontinuous Petrov-Galerkin scheme with optimal test func...
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06/12/2019