 Gas saturation (left) and a posteriori error estimates (right) for the black-oil model on general polytopal meshes |
 Adaptive stopping criteria for the linear solver |
 Gain factor when using linear solver and space mesh adaptivity (no nonlinear solver and time step adaptivity) |
Main results:
- general polytopal meshes;
- easy-to-implement and fast-to-run a posteriori error estimates given by a simple matrix–vector multiplication;
- works for any lowest-order locally conservative method;
- guaranteed upper bound on the total error;
- distinction of different error components (spatial discretization, temporal discretization, linearization, algebraic solver);
- unsteady nonlinear coupled degenerate problems (multiphase multicomponent flows in porous media).
Details: paper (preprint) with Soleiman Yousef and presentation.
