Maximum-norm stability and error estimates in Galerkin methods for parabolic equations in one space variable
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- Thomée, V. & Wahlbin, L.B. Numer. Math. (1983) 41: 345. doi:10.1007/BF01418330
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Maximum-norm stability and error estimates of best approximation and nonsmooth data types are derived for the approximate solution of a parabolic equation in one space variable, using the continuous in time Galerkin method based on piecewise polynomial approximating functions on a quasi-uniform mesh.