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Approximation properties of double complexes
Daniel Førland Holmen, Jan Martin Nordbotten, Jon Eivind Vatne
We consider the simplicial de Rham complex and the Äech-de Rham complex, two bigraded Hilbert complexes whose Hodge-Laplace problems govern spatially coupled problems in mixed dim…
Efficient design of continuation methods for hyperbolic transport problems in porous media
Peter von Schultzendorff, Jakub Wiktor Both, Jan Martin Nordbotten +1
Full-physics modeling of multiphase flow in porous media, e.g., for carbon storage and groundwater management, requires the nonlinear coupling of various physical processes. Indust…
A Machine-Learned Near-Well Model in OPM Flow
Peter von Schultzendorff, Tor Harald Sandve, Birane Kane +3
Recent advances in reservoir simulation increasingly utilize hybrid approaches that couple physics-based simulators with machine-learning (ML) components. ML components offer high…
Multipoint stress mixed finite element methods for the linear Cosserat equations
Wietse M. Boon, Alessio Fumagalli, Jan M. Nordbotten +1
We propose mixed finite element methods for Cosserat materials that use suitable quadrature rules to eliminate the Cauchy and coupled stress variables locally. The reduced system c…
A Finite Volume Method for Elastic Waves in Heterogeneous, Anisotropic and Fractured Media
Ingrid Kristine Jacobsen, Inga Berre, Jan Martin Nordbotten +1
Numerical modeling of elastic wave propagation in the subsurface requires applicability to heterogeneous, anisotropic and discontinuous media, as well as support of free surface bo…
Two-point stress approximation: A simple and robust finite volume method for linearized (poro-)mechanics and Stokes flow
Jan Martin Nordbotten, Eirik Keilegavlen
In this paper, we construct a simple and robust two-point finite volume discretization applicable to isotropic linearized elasticity, valid in also in the incompressible Stokes' li…