A posteriori error estimates based on superconvergence of FEM for fractional evolution equations

Abstract

In this paper, we consider an approximation scheme for fractional evolution equation with variable coefficient. The space derivative is approximated by triangular finite element and the time fractional derivative is evaluated by the L1 approximation. The main aim of this work is to provide convergence and superconvergence analysis and derive a posteriori error estimates. Some numerical examples are presented to demonstrate our theoretical results.

Keywords

• a posteriori error estimates
• convergence and superconvergence
• finite element method
• fractional evolution equations
• 65m30
• 35r11