Some New Error Estimates of a Semidiscrete Finite Volume Element Method for Parabolic Integro-differential Equation with Nonsmooth Initial Data
نویسندگان
چکیده
A semidiscrete finite volume element(FVE) approximation to parabolic integrodifferential equation(PIDE) is analyzed in a two-dimensional convex polygonal domain. Optimal order L-error estimates are derived for both smooth and nonsmooth initial data. More precisely, for homogeneous equations, an elementary energy technique and duality argument is used to derive optimal L-error estimate of order O t−1h2 for positive time when the given initial function is only in L.
منابع مشابه
Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data
Abstract. A semidiscrete finite volume element (FVE) approximation to a parabolic integrodifferential equation (PIDE) is analyzed in a two-dimensional convex polygonal domain. An optimalorder L2-error estimate for smooth initial data and nearly the same optimal-order L2-error estimate for nonsmooth initial data are obtained. More precisely, for homogeneous equations, an elementary energy techni...
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