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
MiDiROM: Deep learning enhanced numerical simulations of mixed-dimensional models for subsurface flow
MiDiROM is the acronym of the Marie Skłodowska-Curie Action Individual Fellowship in which we develop Reduced Order Models for Mixed-Dimensional PDEs related to geo-thermal energy storage.
The blog posts below contain summaries of each manuscript written within the MiDiROM project. For the official status and results of the project, see the dedicated website of the European Commission.
Results
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