activity
20162026
most citedFree energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media

3 citations · 10 across the 13 of their papers we have counts for

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17 papers · 1 filter

math.NA2026

Elastic wave propagation in fractured media with spring-type and frictional contact deformation laws

Ingrid Kristine Jacobsen, Jan Martin Nordbotten, Ivar Stefansson +2

Elastic wave propagation in fractured media is relevant to applications such as analysis of seismic waves and non-destructive characterization of materials. Understanding attenuati…

math.NA2026

Approximation properties of double complexes

Daniel Førland Holmen, Jan Martin Nordbotten, Jon Eivind Vatne

We consider the simplicial de Rham complex and the Čech-de Rham complex, two bigraded Hilbert complexes whose Hodge-Laplace problems govern spatially coupled problems in mixed dime…

math.NA2026

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…

math.NA20261 cited

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…

math.NA2025

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…

math.NA2024

Mixed finite element and TPSA finite volume methods for linearized elasticity and Cosserat materials

Jan Martin Nordbotten, Wietse M. Boon, Omar Duran +1

Cosserat theory of elasticity is a generalization of classical elasticity that allows for asymmetry in the stress tensor by taking into account micropolar rotations in the medium.…