MMN-709
A note on reference solution based $hp$-adaptive PDE solvers
Tamás L. Horváth;Abstract
In this note we suggest an improvement for a family of $hp$-adaptive finite element methods. We point out the necessity of the new procedure by constructing model problems for which certain standard $hp$-adaptive algorithms fail to work properly. It is verified also in the corresponding simulations that the algorithm can terminate even though the numerical solution still contains a sizable computational error.
Vol. 15 (2014), No. 1, pp. 109-116