Conservative neural networks for Darcy flow
Deep learning based reduced order modeling of Darcy flow systems with local mass conservation
Posts by Tag
- mixed-dimensional 11
- differential complexes 10
- preconditioners 7
- MiDiROM 7
- news 5
- mortar methods 5
- Stokes-Darcy 4
- Biot 4
- PyGeoN 4
- auxiliary space 3
- spanning trees 3
- wound healing 2
- water table 2
- benchmarks 2
- evolutionary equations 2
- multipoint MFEM 2
- neural networks 2
- Cosserat 1
mixed-dimensional
Reduced Basis Methods with local mass conservation
A Reduced Basis Method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes
Mixed-dimensional poromechanics
Mixed-dimensional poromechanical models of fractured porous media
3D verification benchmarks for discretizations of fracture flow
Verification benchmarks for single-phase flow in three-dimensional fractured porous media
MFEM for mixed-dimensional elasticity
Stable Mixed Finite Elements for Linear Elasticity with Thin Inclusions
Mixed-dimensional exterior calculus
Functional Analysis and Exterior Calculus on Mixed-Dimensional Geometries
TPFA for mixed-dimensional flow
Convergence of a TPFA Finite Volume Scheme for Mixed-Dimensional Flow Problems
Structure of Mixed-Dimensional Partial Differential Equations
Modeling, Structure and Discretization of Hierarchical Mixed-Dimensional Partial Differential Equations
A unified approach to discretizing flow in fractured porous media
Unified Approach to Discretization of Flow in Fractured Porous Media
A finite element method for flow in fractured porous media
Robust Discretization of Flow in Fractured Porous Media
Benchmarks for single-phase flow in fractured porous media
Benchmarks for Single-Phase Flow in Fractured Porous Media
differential complexes
Poincaré operators based on spanning trees
Solvers for mixed finite element problems using Poincaré operators based on spanning trees
Auxiliary space preconditioners for Virtual Elements
Nodal auxiliary space preconditioners for mixed virtual element methods
Mixed finite element methods for linear Cosserat equations
Mixed finite element methods for linear Cosserat equations
The Hodge-Laplacian on the Čech-de Rham complex
The Hodge-Laplacian on the Čech-de Rham complex governs coupled problems
Multipoint MFEM for Stokes flow
A multipoint vorticity mixed finite element method for incompressible Stokes flow
Reduced Basis Methods with local mass conservation
A Reduced Basis Method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes
Mixed-dimensional poromechanics
Mixed-dimensional poromechanical models of fractured porous media
MFEM for mixed-dimensional elasticity
Stable Mixed Finite Elements for Linear Elasticity with Thin Inclusions
Mixed-dimensional exterior calculus
Functional Analysis and Exterior Calculus on Mixed-Dimensional Geometries
Mixed-dimensional auxiliary space preconditioners
Mixed-Dimensional Auxiliary Space Preconditioners
preconditioners
Poincaré operators based on spanning trees
Solvers for mixed finite element problems using Poincaré operators based on spanning trees
Auxiliary space preconditioners for Virtual Elements
Nodal auxiliary space preconditioners for mixed virtual element methods
Multipoint MFEM for Biot poroelasticity
Mixed and multipoint finite element methods for rotation-based poroelasticity
Norm-equivalent preconditioners for Biot-Stokes
Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers
Norm-equivalent preconditioners for Stokes-Darcy
Robust monolithic solvers for the Stokes-Darcy problem with the Darcy equation in primal form
Preconditioners for perturbed saddle-point problems
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot’s equations utilizing total pressure
Mixed-dimensional auxiliary space preconditioners
Mixed-Dimensional Auxiliary Space Preconditioners
MiDiROM
A mortar method for Stokes-Darcy problems
A mortar method for the coupled Stokes-Darcy problem using the MAC scheme for Stokes and mixed finite elements for Darcy
Conservative neural networks for Darcy flow
Deep learning based reduced order modeling of Darcy flow systems with local mass conservation
Multipoint MFEM for Biot poroelasticity
Mixed and multipoint finite element methods for rotation-based poroelasticity
The Hodge-Laplacian on the Čech-de Rham complex
The Hodge-Laplacian on the Čech-de Rham complex governs coupled problems
Multipoint MFEM for Stokes flow
A multipoint vorticity mixed finite element method for incompressible Stokes flow
Flux-mortars with MPFA
Flux-mortar mixed finite element methods with multipoint flux approximation
Reduced Basis Methods with local mass conservation
A Reduced Basis Method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes
news
PoliMi Master Class on Marie Curie proposal writing
The PoliMi Alumni News featured me as one of the successful MSCA-IF master class participants.
SIAM Activity Group on Geosciences Early Career Prize 2021
SIAM News interviewed me as the awardee of the 2021 Early Career prize of SIAG/GS.
Dahlquist fellowship at KTH
For the next two years, I will work as the Dahlquist Fellow at the Numerical Analysis division of the KTH Royal Institute of Technology. More information abo...
PhD Defense
My PhD thesis at the University of Bergen focused on “Conforming Discretizations of Mixed-Dimensional Partial Differential Equations.” The research aimed to ...
Best PhD presentation at FEniCS ‘17
My presentation “Mixed-Dimensional Linear Elasticity with Relaxed Symmetry” was awarded best PhD presentation at the FEniCS 2017 conference. Jack Hale mentio...
mortar methods
A mortar method for Stokes-Darcy problems
A mortar method for the coupled Stokes-Darcy problem using the MAC scheme for Stokes and mixed finite elements for Darcy
Flux-mortars with MPFA
Flux-mortar mixed finite element methods with multipoint flux approximation
The flux-mortar mixed finite element method
Flux-Mortar Mixed Finite Element Methods on Non-matching Grids
A mass conservative iterative solver for Stokes-Darcy
A Parameter-Robust Iterative Method for Coupled Stokes-Darcy Models Retaining Local Mass Conservation
A finite element method for flow in fractured porous media
Robust Discretization of Flow in Fractured Porous Media
Stokes-Darcy
A mortar method for Stokes-Darcy problems
A mortar method for the coupled Stokes-Darcy problem using the MAC scheme for Stokes and mixed finite elements for Darcy
Norm-equivalent preconditioners for Stokes-Darcy
Robust monolithic solvers for the Stokes-Darcy problem with the Darcy equation in primal form
A mass conservative iterative solver for Stokes-Darcy
A Parameter-Robust Iterative Method for Coupled Stokes-Darcy Models Retaining Local Mass Conservation
Coupling staggered-grid and MPFA for Stokes-Darcy problems
Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems
Biot
Multipoint MFEM for Biot poroelasticity
Mixed and multipoint finite element methods for rotation-based poroelasticity
Mixed-dimensional poromechanics
Mixed-dimensional poromechanical models of fractured porous media
Norm-equivalent preconditioners for Biot-Stokes
Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers
Preconditioners for perturbed saddle-point problems
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot’s equations utilizing total pressure
PyGeoN
PyGeoN v0.5
In this new release of PyGeoN, we have implemented mixed finite element discretizations for Cosserat elasticity.
PyGeoN v0.4
This release of PyGeoN features the Arnold-Falk-Winther element for mixed formulations of elasticity with a corresponding spanning tree solver.
PyGeoN v0.3
We released a new version of our open-source software PyGeoN: A Python package for Geo-Numerics. This release features several new discretization schemes, in...
PyGeoN v0.2
Happy to announce the next release of our open-source software PyGeoN: A Python package for Geo-Numerics.
auxiliary space
Poincaré operators based on spanning trees
Solvers for mixed finite element problems using Poincaré operators based on spanning trees
Auxiliary space preconditioners for Virtual Elements
Nodal auxiliary space preconditioners for mixed virtual element methods
Mixed-dimensional auxiliary space preconditioners
Mixed-Dimensional Auxiliary Space Preconditioners
spanning trees
Poincaré operators based on spanning trees
Solvers for mixed finite element problems using Poincaré operators based on spanning trees
Momentum preserving neural network solvers for elasticity
Neural network solvers for parametrized elasticity problems that conserve linear and angular momentum
Conservative neural networks for Darcy flow
Deep learning based reduced order modeling of Darcy flow systems with local mass conservation
wound healing
Elasticity with point sources
Analysis of Linearized Elasticity Models with Point Sources in Weighted Sobolev Spaces: Applications in Tissue Contraction
A cell-based model for wound contraction
A Multi-Agent Cell-Based Model for Wound Contraction
water table
A 3D study on groundwater discharge to a gaining stream
A 3-D Numerical Model of the Influence of Meanders on Groundwater Discharge to a Gaining Stream in an Unconfined Sandy Aquifer
Modeling water table evolution
Efficient Water Table Evolution Discretization using Domain Transformation
benchmarks
3D verification benchmarks for discretizations of fracture flow
Verification benchmarks for single-phase flow in three-dimensional fractured porous media
Benchmarks for single-phase flow in fractured porous media
Benchmarks for Single-Phase Flow in Fractured Porous Media
evolutionary equations
The Hodge-Laplacian on the Čech-de Rham complex
The Hodge-Laplacian on the Čech-de Rham complex governs coupled problems
Mixed-dimensional poromechanics
Mixed-dimensional poromechanical models of fractured porous media
multipoint MFEM
Multipoint MFEM for Biot poroelasticity
Mixed and multipoint finite element methods for rotation-based poroelasticity
Multipoint MFEM for Stokes flow
A multipoint vorticity mixed finite element method for incompressible Stokes flow
neural networks
Momentum preserving neural network solvers for elasticity
Neural network solvers for parametrized elasticity problems that conserve linear and angular momentum
Conservative neural networks for Darcy flow
Deep learning based reduced order modeling of Darcy flow systems with local mass conservation
Cosserat
Mixed finite element methods for linear Cosserat equations
Mixed finite element methods for linear Cosserat equations