We consider fully discrete time-space approximations of abstract linear parabolic partial differential equations (PDEs) consisting of an hp-version discontinuous Galerkin (DG) time stepping scheme in conjunction with standard (conforming) Galerkin discretizations in space. We derive abstract computable a posteriori error bounds resulting, for instance, in concrete bounds in

中文翻译：

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抛物线问题全离散hp-间断Galerkin时间步长方法的后验误差界

我们考虑抽象线性抛物线偏微分方程（PDE）的完全离散的时空近似，该方程由hp版本不连续Galerkin（DG）时间步进方案与空间中的标准（一致）Galerkin离散化组成。我们得出抽象的可计算后验误差范围，例如，在