We consider a minimal residual discretization of a simultaneous space-time variational formulation of parabolic evolution equations. Under the usual `LBB' stability condition on pairs of trial- and test spaces we show quasi-optimality of the numerical approximations without assuming symmetry of the spatial part of the differential operator. Under a stronger LBB condition we show error estimates in an energy-norm which are independent of this spatial differential operator.

翻译：我们认为对抛物体进化方程式同时的时空变异配方是一种最低限度的剩余分解。在试验和试验空间对等的通常“LBB”稳定性条件下,我们不假定对差分操作者空间部分的对称,而显示数字近似值的准最佳性。在较强的LBB条件下,我们在独立于这一空间差异操作者的能量中显示误差估计值。