pre-hdg-saddle

Robust block diagonal preconditioner for condensed Hdiv-HDG schemes for saddle point problems.

Paper DOI: 10.1093/imanum/drac021

Numerical experiment code for the generalized Stokes problems, steady/unsteady linear elasticity problems.

Requirements:

• Netgen/NGSolve, version: 6.2.2006-100-gdc536cb, website: ngsolve.org.
• ngs-petsc, website:https://github.com/NGSolve/ngs-petsc.

Files:

• krylovspace.py: Replacing the file in the ngsolve installation directory .../lib/.../ngsolve/krylovspace.py. One hack in the MinRes solver to deal with the BC.
• cavityHDG.py: Num experiments for the generealized Stokes equations in the lid-driven cavity.
• backHDG.py: Num experiments for the generealized Stokes equations in the backward-facing flow.
• cavityLSHDG.py: Num experiments for the steady linear elasticity equations.
• cavityLSHDG_unsteady.py: Num experiments for the unsteady linear elasticity equations.