We introduce interpolation operators with approximation and stability properties suited for parabolic problems in primal and mixed formulations. We derive localized error estimates for tensor product meshes (occurring in classical time-marching schemes) as well as locally in space-time refined meshes.
翻译:我们引入了近似和稳定的内插操作器,这些操作器的近似和稳定性性能适合在原始和混合配方中出现抛物线问题。 我们得出了(古典时间总体计划产生的)高压产品杂草以及当地在时间精炼的杂草的局部误差估计值。