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摘要
An adaptive algorithm, based on residual type a posteriori indicators of errors measured in L-infinity(L-2) and L-2(L-2) norms, for a numerical scheme consisting of implicit Euler method in time and discontinuous Galerkin method in space for linear parabolic fourth order problems is presented. The a posteriori analysis is performed for convex domains in two and three space dimensions for local spatial polynomial degrees r >= 2. The a posteriori estimates are then used within an adaptive algorithm, highlighting their relevance in practical computations, by resulting in substantial reduction of computational effort.
- 出版日期2015-9
