 Adaptive mesh & polynomial-degree distribution |
 Smooth solution of a peak form |
 Exponential convergence for hp-adaptivity |
 Effectivity index of the guaranteed bound on the error reduction |
 Speedup of inexact solver |
 Exponential convergence for hp-adaptivity with exact and inexact solvers |
Main results:
- computable guaranteed bound on the error reduction factor (ratio of the errors between two successive hp refinements);
- homogeneous Neumann local problems via mixed finite elements to obtain error upper bound;
- homogeneous Dirichlet local problems via conforming finite elements for hp decision;
- hp-adaptive strategy with numerically exponential convergence rates;
- inexact algebraic solver taken into account.
Details: Ph.D. thesis of Patrik Daniel, Ph.D. defense presentation; paper (preprint) with Patrik Daniel, Alexandre Ern, and Iain Smears, paper (preprint) with Patrik Daniel and Alexandre Ern, preprint with Patrik Daniel, see also presentation.
