Residual-based a posteriori error estimates of mixed methods for a three-field Biot’s consolidation model
Residual-based a posteriori error estimates of mixed methods for a three-field Biot’s consolidation model
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DOI：
10.1093/imanum/draa074
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发表时间：
2019-11
影响因子：
2.1
通讯作者：
Yuwen Li;L. Zikatanov
中科院分区：
文献类型：
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作者：
Yuwen Li;L. Zikatanov
我们提出了基于残差的混合有限元方法的后验误差估计，用于 Biot 固结模型的三场公式。误差估计器是数据振荡时空离散化误差的上限和下限。作为副产品，我们还获得了热方程混合有限元方法的新后验误差估计。
We present residual-based a posteriori error estimates of mixed finite element methods for the three-field formulation of Biot’s consolidation model. The error estimator are upper and lower bounds of the space-time discretization error up to data oscillation. As a by-product, we also obtain a new a posteriori error estimate of mixed finite element methods for the heat equation.