论文标题
Darcy流系统的减少基础方法，该方法通过使用精确的离散复合物来确保局部质量保护
A Reduced Basis Method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes
论文作者
论文摘要
在多孔培养基中提出了一种解决方案技术，以保证局部保护质量。我们首先计算一个通量场，以平衡质量源，然后利用精确的共同链络合物来产生螺线管校正。基于适当的正交分解的降低方法用于构建校正，我们表明，无论降低基础近似的质量如何，都可以确保质量平衡。该方法直接适用于混合有限和虚拟元素方法，除其他具有结构性的离散化技术外，我们在断裂的多孔介质中向Darcy流提供了扩展。
A solution technique is proposed for flows in porous media that guarantees local conservation of mass. We first compute a flux field to balance the mass source and then exploit exact co-chain complexes to generate a solenoidal correction. A reduced basis method based on proper orthogonal decomposition is employed to construct the correction and we show that mass balance is ensured regardless of the quality of the reduced basis approximation. The method is directly applicable to mixed finite and virtual element methods, among other structure-preserving discretization techniques, and we present the extension to Darcy flow in fractured porous media.
