A nonstandard mixed finite element family

Abstract  We show that standard mixed finite element methods, of second or higher degree, for second order elliptic equations can be
modified by imposing additional continuity conditions for the flux, which reduces the dimension of the space. This reduced
space still gives a stable method with an optimal order of convergence. We recall our postprocessing method and the a posteriori
error estimator based on this.

• Content Type Journal Article
• DOI 10.1007/s00211-009-0272-0
• Authors
  
  
  • Rolf Stenberg, Helsinki University of Technology–TKK Institute of Mathematics and Systems Analysis P. O. Box 1100 02015 TKK Helsinki Finland
  
  

• Journal Numerische Mathematik
• Online ISSN 0945-3245
• Print ISSN 0029-599X

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Original source : http://www.springerlink.com/content/b466866m423196...