2018/11/06 by A. Arrarás, Arrarás, Andrés, Laura Portero +1
Computer Science · Engineering · #35K55 #65M12 #65M15 #65M60 #76M10 #76S05 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1811.02298
openalex publication_date 2018/11/06 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28
In this paper, we consider multipoint flux mixed finite element\ndiscretizations for slightly compressible Darcy flow in porous media. The\nmethods are formulated on general meshes composed of triangles, quadrilaterals,\ntetrahedra or hexahedra. An inexact Newton method that allows for local\nvelocity elimination is proposed for the solution of the nonlinear fully\ndiscrete scheme. We derive optimal error estimates for both the scalar and\nvector unknowns in the semidiscrete formulation. Numerical examples illustrate\nthe convergence behaviour of the methods, and their performance on test\nproblems including permeability coefficients with increasing heterogeneity.\n