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20242026
most citedComputational orders of convergence of iterative methods for Richards' equation

1 citations · 1 across the 3 of their papers we have counts for

collaborators

6 papers

math.NA2026

Frequency Domain Biot--Allard Equations for Isotropic and Anisotropic Poroelastic Media: Two-field formulations and iterative splitting

Morten Jakobsen, Jakob Seierstad Stokke, Kundan Kumar +1

We present a frequency-domain formulation of Biot's dynamic poroelastic equations with frequency-dependent dissipation (Biot--Allard) for anisotropic, heterogeneous media with memo…

math.NA2026

Convergent adaptive iterative schemes for solving multi-physics problems

Jakob S. Stokke, Kundan Kumar, Florin A. Radu

In this paper, we derive a practical, general framework for creating adaptive iterative (linearization or splitting) algorithms to solve multi-physics problems. This means that, gi…

physics.med-ph2025

Slug-Mapper: Magnetic Scanner for Ultra Low-Field MRI Scanners

Jonathan W. Morris

Ultra-Low Field (ULF) MRI scanners offer a portable and cost-effective alternative to conventional MRI systems, but require careful calibration to compensate for reduced magnetic f…

math.AP2024

The Biot-Allard poro-elasticity system: equivalent forms and well-posedness

Jakob S. Stokke, Markus Bause, Nils Margenberg +1

We consider the fully dynamic Biot-Allard model, which includes memory effects. Convolution integrals in time model the history of the porous medium. We use a series representation…

math.NA2024

A History-dependent Dynamic Biot Model

Jakob S. Stokke, Morten Jakobsen, Kundan Kumar +1

In this work, we consider a fully dynamic Biot model that includes memory effects due to evolving permeability. Time integrals are used to account for the change in structure. We p…

math.NA20241 cited

Computational orders of convergence of iterative methods for Richards' equation

Nicolae Suciu, Florin A. Radu, Jakob S. Stokke +2

Numerical solutions for flows in partially saturated porous media pose challenges related to the non-linearity and elliptic-parabolic degeneracy of the governing Richards' equation…