F.E.M. implementation for the asymptotic partial decomposition

Abstract

We consider a Finite Element Method (F.E.M.) implementation for the asymptotic partial decomposition. The advantage of this approach is an important reduction of the number of nodes. The convergence is proved for some model problems. Finally the relation with the “mixed formulation” is discussed.

Keywords:

• Asymptotic analysis
• Numerical analysis
• Mixed formulation

Keywords:

• AMS 2000 Subject Classifications:
• 78M10
• 78M30
• 65J10
• 65N30
• 65N45