3 papers
math.NA2026
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…
math.NA2026
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…
math.NA2025
Space-time parallel iterative solvers for the integration of parabolic problems
Andrés Arrarás, Francisco J. Gaspar, Iñigo Jimenez-Ciga +1
In view of the existing limitations of sequential computing, parallelization has emerged as an alternative in order to improve the speedup of numerical simulations. In the framewor…