mirok / metric-amg-examples

Examples for testing metric multigrid

Collection of models leading to interface perturbed operators

Problems in $2d$

These things are mostly done on UnitSquareMesh geometries to check correctness

• EMI model
• Reduced $2d$ - $1d$ EMI model
• Bidomain model
• vector Poisson-vector Poisson coupling by full vector (arises in Elasticity-Poroelasticity)
• vector Poisson-vector Poisson coupling by tangent vector components (arises in Biot-Stokes)
• EMI like model with coupling over a (thin) subdomain

Problems in $3d$

These things are mostly done on UnitCubeMesh geometries to check correctness

• EMI model
• Reduced $3d$ - $1d$ EMI model
• Bidomain model
• vector Poisson-vector Poisson coupling by full vector (arises in Elasticity-Poroelasticity)
• vector Poisson-vector Poisson coupling by tangent vector components (arises in Biot-Stokes)
• EMI like model with coupling over a (thin) subdomain

Others

• Reduced $3d$ - $1d$ EMI model on cube with Sylvie Lorthois network
• Reduced $3d$ - $1d$ EMI model on brain + Brava
• Biot-Stokes on brain geometry
• (maybe) Introduce fractal interface in Reduced $2d$-$1d$ EMI model
• (maybe) Staying with hypercube add more challenging interface

Dependencies

• FEniCS stack
• FEniCS_ii
• gmshnics
• networkx
• For meshes in ./data/ please reach out for how to cite