 A posteriori error estimator as a function of the final time (left), the corresponding effectivity index (right) |
Main results:
- nonlinear advection–reaction–diffusion equation;
- parabolic–hyperbolic and parabolic–elliptic degeneracies;
- a posteriori error estimates:
- guaranteed upper bound in nonlocal-in-time (time-integrated) norms;
- local space–time efficiency in standard norms;
- the reliability and efficiency norms coincide when there is no nonlinearity;
- distinction of error components.
Details: preprint with Koondanibha Mitra
