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.

published proceedings

  • Numerical Methods for Partial Differential Equations

author list (cited authors)

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

citation count

  • 11

complete list of authors

  • Chow, S-S||Carey, GF||Lazarov, RD

publication date

  • January 1991