On element SDD approximability
arXiv:0911.0547v1 [cs.NA] 3 Nov 2009 Page 1 ON ELEMENT SDD APPROXIMABILITY HAIM
AVRON, GIL SHKLARSKI, AND SIVAN TOLEDO Abstract. This short communication shows
that in some cases scalar elliptic finite element matrices cannot be approximated well by an
sdd matrix. We also give a theoretical analysis of a simple heuristic method for approximating
an element by an sdd matrix. 1. Introduction In [2] we study the theoretical and practical
aspects of approximation scalar elliptic finite element matrices by sdd matrices. The core task …
AVRON, GIL SHKLARSKI, AND SIVAN TOLEDO Abstract. This short communication shows
that in some cases scalar elliptic finite element matrices cannot be approximated well by an
sdd matrix. We also give a theoretical analysis of a simple heuristic method for approximating
an element by an sdd matrix. 1. Introduction In [2] we study the theoretical and practical
aspects of approximation scalar elliptic finite element matrices by sdd matrices. The core task …
This short communication shows that in some cases scalar elliptic finite element matrices cannot be approximated well by an SDD matrix. We also give a theoretical analysis of a simple heuristic method for approximating an element by an SDD matrix.
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