5 papers
Data-driven stress problem under purely normal homogeneous Neumann boundary conditions
Cristian G. Gebhardt, Kundan Kumar, Florin A. Radu
Data-Driven Continuum Mechanics -- the continuous counterpart of Data-Driven Computational Mechanics -- is a modern paradigm that enhances classical continuum mechanics by incorpor…
A robust iterative scheme for the slightly compressible Darcy-Forchheimer equations
Laura Portero, Andrés Arrarás, Francisco J. Gaspar +1
We study the slightly compressible Darcy-Forchheimer equations modeling gas flow in porous media, particularly in applications related to combustion processes. The equations are di…
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…
Parareal algorithm for coupled elliptic-parabolic problems
Iñigo Jimenez-Ciga, Francisco Gaspar, Kundan Kumar +1
We present a convergence analysis of the parallel-in-time integration method known as the Parareal algorithm for degenerate differential-algebraic systems arising from quasi-static…
Well-posedness analysis of the Cahn-Hilliard-Biot model
Cedric Riethmüller, Erlend Storvik, Jakub Wiktor Both +1
We investigate the well-posedness of the recently proposed Cahn-Hilliard-Biot model. The model is a three-way coupled PDE of elliptic-parabolic nature, with several nonlinearities…