Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow

作者：Aizinger Vadym^*; Rupp Andreas; Schutz Jochen; Knabner Peter

来源：Computational Geosciences, 2018, 22(1): 179-194.

DOI：10.1007/s10596-017-9682-8

• Mixed discontinuous Galerkin method
• Local discontinuous Galerkin method
• Instationary Darcy problem
• Stability and error analysis

We present an a priori stability and convergence analysis of a new mixed discontinuous Galerkin scheme applied to the instationary Darcy problem. The analysis accounts for a spatially and temporally varying permeability tensor in all estimates. The proposed method is stabilized using penalty terms in the primary and the flux unknowns.

• 出版日期2018-2