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An hp-adaptive strategy for elliptic problems (1701.06920v1)
Published 23 Jan 2017 in cs.NA and math.NA
Abstract: 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.