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12/07/2022
hp-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem
We prove hp-optimal error estimates for interior penalty discontinuous G...
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11/04/2022
An improved high-order method for elliptic multiscale problems
In this work, we propose a high-order multiscale method for an elliptic ...
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08/18/2022
A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes
We present a new residual-type energy-norm a posteriori error analysis f...
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06/14/2022
C^0-hybrid high-order methods for biharmonic problems
We devise and analyze C^0-conforming hybrid high-order (HHO) methods to ...
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01/05/2022
Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence
We estimate best-approximation errors using vector-valued finite element...
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08/18/2021
Hybrid high-order method for singularly perturbed fourth-order problems on curved domains
We propose a novel hybrid high-order method (HHO) to approximate singula...
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08/05/2021
Robust interior penalty discontinuous Galerkin methods
Classical interior penalty discontinuous Galerkin (IPDG) methods for dif...
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03/30/2021
Hybrid high-order and weak Galerkin methods for the biharmonic problem
We devise and analyze two hybrid high-order (HHO) methods for the numeri...
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01/09/2021
On the suboptimality of the p-version discontinuous Galerkin methods for first order hyperbolic problems
We address the issue of the suboptimality in the p-version discontinuous...
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09/29/2020
Residual-based a posteriori error estimates for 𝐡𝐩-discontinuous Galerkin discretisations of the biharmonic problem
We introduce a residual-based a posteriori error estimator for a novel h...
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07/09/2020