Abstract
A superconvergence result is established in this article for approximate solutions of second-order elliptic equations by mixed finite element methods over quadrilaterals. The superconvergence indicates an accuracy of ${\cal O}(h^{k+2})$ for the mixed finite element approximation if the Raviart--Thomas or Brezzi--Douglas--Fortin--Marini elements of order k are employed with optimal error estimate of ${\cal O}(h^{k+1})$. Numerical experiments are presented to illustrate the theoretical result.
Full Text
Submitted Version (
Free)
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call