CONVERGENCE ESTIMATES FOR SEMIDISCRETE APPROXIMATIONS OF NONSELFADJOINT PARABOLIC EQUATIONS.

Abstract

Semidiscrete Galerkin approximations of the second-order nonselfadjoint parabolic equations are considered. L//2-error estimates for L//2-initial conditions are derived by use of semigroup methods and of analyticity of the underlined semigroup. The scheme here presented can be also freely applied to nonconforming elements.

Publication Title

SIAM Journal on Numerical Analysis

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