An hp-adaptive strategy for elliptic problems
This provides a practical adaptive method for finite element computations, though it is an incremental improvement over existing hp-adaptive techniques.
The paper proposes an hp-adaptive strategy for elliptic problems that selects h-, p-, or hp-refinement based on error and smoothness estimates, achieving exponential convergence in numerical experiments.
In this paper a new hp-adaptive strategy for elliptic problems based on refinement history is proposed, which chooses h-, p- or hp-refinement on individual elements according to a posteriori error estimate, as well as smoothness estimate of the solution obtained by comparing the actual and expected error reduction rate. Numerical experiments show that exponential convergence can be achieved with this strategy.