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• W2950402571 abstract "This work is concerned with the development of a space-time adaptive numerical method, based on a rigorous a posteriori error bound, for a semilinear convection-diffusion problem which may exhibit blow-up in finite time. More specifically, a posteriori error bounds are derived in the $L^{infty}(L^2)+L^2(H^1)$-type norm for a first order in time implicit-explicit (IMEX) interior penalty discontinuous Galerkin (dG) in space discretization of the problem, although the theory presented is directly applicable to the case of conforming finite element approximations in space. The choice of the discretization in time is made based on a careful analysis of adaptive time stepping methods for ODEs that exhibit finite time blow-up. The new adaptive algorithm is shown to accurately estimate the blow-up time of a number of problems, including one which exhibits regional blow-up." @default.
• W2950402571 created "2019-06-27" @default.
• W2950402571 creator A5005503047 @default.
• W2950402571 creator A5072274308 @default.
• W2950402571 creator A5080449023 @default.
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• W2950402571 date "2015-02-11" @default.
• W2950402571 modified "2023-09-27" @default.
• W2950402571 title "Adaptivity and blow-up detection for nonlinear evolution problems" @default.
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• W2950402571 hasPublicationYear "2015" @default.
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