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- W1988184192 abstract "Optimal error estimates are proved for the continuous and discrete Galerkin solution (implicit and Crank-Nicolson scheme) of a general linear parabolic equation subject to nonhomogeneous mixed boundary conditions. The norms used correspond to the nonisotropic Sobolev spaces $H^{{{(p - alpha )}/2}} ((0,T),H^alpha (Omega )) cap L^2 ((0,T),H^p (Omega ))$ for $p geqq alpha geqq - 1$. Also, estimates with respect to the norm of $mathcal{H}^{ - 1} = $ dual space of $H^1 (Omega )$ are mentioned." @default.
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- W1988184192 date "1981-08-01" @default.
- W1988184192 modified "2023-10-14" @default.
- W1988184192 title "Optimal $H^{p,{p/2}} $ Error Estimates for a Parabolic Galerkin Method" @default.
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- W1988184192 doi "https://doi.org/10.1137/0718045" @default.
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