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August 13, 2026SIAM Journal on Numerical Analysis

Robust Stability and Preconditioning of Darcy–Forchheimer Equations

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Authors

RDRishi DasHHHarsha HutridurgaAPAmiya K. Pani

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Overview

Randomized trial designs efficient preconditioners for Darcy–Forchheimer equations, indicating improved error estimates.

Key Points

  • The aim is to derive robust error estimates for mixed finite element methods applied to Darcy–Forchheimer equations.
  • Derived quasi-optimal error estimates for nonlinear Darcy–Forchheimer equations.
  • Designed block preconditioners for linearized systems.
  • Illustrated convergence with numerical examples.
  • Error estimates demonstrate robustness with respect to coefficients for permeability (P) and inertia (I).
  • Convergence rates are independent of parameter and mesh size, ensuring reliable solutions.

Cite This Study

Das et al. (2026) studied this question.

synapsesocial.com/papers/6a7d76c82b0e0cff3f6407e4https://doi.org/10.1137/25m1816115
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