Natural and postprocessed superconvergence in semilinear problems Academic Article uri icon


  • Superconvergence error estimates are established for a class of semilinear problems defined by a linear elliptic operator with a nonlinear forcing term. The analysis is for rectangular biquadratic elements, and we prove superconvergence of the derivative components along associated lines through the Gauss points. Derivative postprocessing formula and formulas for integrals are also considered and similar superconvergence estimates proven. Copyright © 1991 Wiley Periodicals, Inc.

author list (cited authors)

  • Chow, S., Carey, G. F., & Lazarov, R. D.

citation count

  • 10

publication date

  • January 1991