Computations on preconditioning cubic spline collocation method of elliptic equations
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In this work we investigate the finite element preconditioning method for theC 1-cubic spline collocation discretizations for an elliptic operatorA defined byAu:=−Δu+a 1 u x +a 2 u y +a 0 u in the unit square with some boundary conditions. We compute the condition number and the numerical solution of the preconditioning system for the several example problems. Finally, we compare the this preconditioning system with the another preconditioning system.
AMS Mathematics Subject Classification65N30 65N35 65F05 65F10
Key words and phrasespreconditioned matrix cubic spline collocation finite element method
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