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07/31/2023
The Mixed Virtual Element Discretization for highly-anisotropic problems: the role of the boundary degrees of freedom
In this paper, we discuss the accuracy and the robustness of the mixed V...
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04/28/2023
Orthogonal polynomial bases in the Mixed Virtual Element Method
The use of orthonormal polynomial bases has been found to be efficient i...
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11/17/2022
An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis
A new mathematical model and numerical approach are proposed for the sim...
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03/14/2022
Extended Finite Elements for 3D-1D coupled problems via a PDE-constrained optimization approach
In this work we propose the application of the eXtended Finite Element M...
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03/03/2022
A PDE-constrained optimization method for 3D-1D coupled problems with discontinuous solutions
A numerical method for coupled 3D-1D problems with discontinuous solutio...
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06/09/2021
A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems
Coupled 3D-1D problems arise in many practical applications, in an attem...
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02/12/2021
3D-1D coupling on non conforming meshes via three-field optimization based domain decomposition
A new numerical approach is proposed for the simulation of coupled three...
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11/18/2020
The mixed virtual element method for grids with curved interfaces
In many applications the accurate representation of the computational do...
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07/27/2020
The Mixed Virtual Element Method on curved edges in two dimensions
In this work, we propose an extension of the mixed Virtual Element Metho...
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04/09/2020
An optimization approach for flow simulations in poro-fractured media with complex geometries
A new discretization approach is presented for the simulation of flow in...
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12/20/2019
A Three-Field based optimization formulation for flow simulations in networks of fractures on non conforming meshes
A new numerical scheme is proposed for flow computation in complex discr...
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07/29/2019