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08/17/2023
A DPG method for linear quadratic optimal control problems
The DPG method with optimal test functions for solving linear quadratic ...
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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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11/16/2022
First-order system least-squares finite element method for singularly perturbed Darcy equations
We define and analyse a least-squares finite element method for a first-...
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10/28/2022
Least-squares finite elements for distributed optimal control problems
We provide a framework for the numerical approximation of distributed op...
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10/25/2022
On a mixed FEM and a FOSLS with H^-1 loads
We study variants of the mixed finite element method (mixed FEM) and the...
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08/21/2022
Space-time finite element methods for parabolic distributed optimal control problems
We present a method for the numerical approximation of distributed optim...
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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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09/01/2020
Multilevel decompositions and norms for negative order Sobolev spaces
We consider multilevel decompositions of piecewise constants on simplici...
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05/22/2020
A short note on plain convergence of adaptive least-squares finite element methods
We show that adaptive least-squares finite element methods driven by the...
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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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11/05/2019
Space-time least-squares finite elements for parabolic equations
We present a space-time least squares finite element method for the heat...
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08/23/2019
Ultraweak formulation of linear PDEs in nondivergence form and DPG approximation
We develop and analyze an ultraweak formulation of linear PDEs in nondiv...
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06/12/2019