Finite element method, Sobolev spaces, Inequalities (Mathematics), Error analysis (Mathematics)
The stability and error estimates for the mortar finite element method are well established. This work examines the dependence of constants in these estimates on shape and number of subdomains. By means of a Poincar´e inequality and some scaling arguments, these estimates are found not to deteriorate with increase in number of subdomains.
Gopalakrishnan, Jay, "Mortar Estimates Independent of Number of Subdomains" (2000). Mathematics and Statistics Faculty Publications and Presentations. 76.