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    • An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control
    Authors: Vít, Dolejší; Georg, May;  Advisor: -;  Co-Author: - (2023)

    We propose an efficient mesh adaptive method for the numerical solution of time-dependent partial differential equations considered in the fixed space-time cylinder Ω×(0,T). We employ the space-time discontinuous Galerkin method which enables us to use different meshes at different time levels in a natural way. The mesh adaptive algorithm is based on control of the interpolation error in the L∞(0,T;Lq(Ω))-norm.