Analysis of Some Mixed Finite Element Methods Related to Reduced Integration

@inproceedings{Johnson2010AnalysisOS,
title={Analysis of Some Mixed Finite Element Methods Related to Reduced Integration},
author={By Claes Johnson and Juhani Pitk{\"a}ranta},
year={2010}
}

We prove error estimates for the following two mixed finite element methods related to reduced integration: A method for Stokes' problem using rectangular elements with piecewise bilinear approximations for the velocities and piecewise constants for the pressure, and one method for a plate problem using bilinear approximations for transversal displacement and rotations and piecewise constants for the shear stress. The main idea of the proof in the case of Stokes' problem is to combine a weak… CONTINUE READING