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06/15/2023
Design and performance of a space-time virtual element method for the heat equation on prismatic meshes
We present a space-time virtual element method for the discretization of...
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03/27/2023
The nonconforming virtual element method with curved edges
We introduce a nonconforming virtual element method for the Poisson equa...
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12/10/2022
Space-time virtual elements for the heat equation
We propose and analyze a space-time virtual element method for the discr...
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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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03/01/2022
Interpolation and stability estimates for edge and face virtual elements of general order
We develop interpolation error estimates for general order standard and ...
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01/12/2022
The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model
We present a four-field Virtual Element discretization for the time-depe...
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05/13/2021
Mortar coupling of hp-discontinuous Galerkin and boundary element methods for the Helmholtz equation
We design and analyze a coupling of a discontinuous Galerkin finite elem...
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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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12/03/2020
Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems
We present a stability analysis of the Discontinuous Galerkin method on ...
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11/25/2020
Interpolation and stability properties of low order face and edge virtual element spaces
We analyse the interpolation properties of 2D and 3D low order virtual e...
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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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06/18/2020
p- and hp- virtual elements for the Stokes problem
We analyse the p- and hp-versions of the virtual element method (VEM) fo...
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04/23/2020
Adaptive virtual element methods with equilibrated flux
We present an hp-adaptive virtual element method (VEM) based on the hype...
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04/07/2020