82 citations · 160 across the 13 of their papers we have counts for
8 papers · 1 filter
On the convergence and efficiency of splitting schemes for the Cahn-Hilliard-Biot model
Cedric Riethmüller, Erlend Storvik
In this paper, we present a novel solution strategy for the Cahn-Hilliard-Biot model, a three-way coupled system that features the interplay of solid phase separation, fluid dynami…
Sequential solution strategies for the Cahn-Hilliard-Biot model
Erlend Storvik, Cedric Riethmüller, Jakub Wiktor Both +1
This paper presents a study of solution strategies for the Cahn-Hilliard-Biot equations, a complex mathematical model for understanding flow in deformable porous media with changin…
An adaptive solution strategy for Richards' equation
Jakob S. Stokke, Koondanibha Mitra, Erlend Storvik +2
Flow in variably saturated porous media is typically modelled by the Richards equation, a nonlinear elliptic-parabolic equation which is notoriously challenging to solve numericall…
Splitting Schemes for Coupled Differential Equations: Block Schur-Based Approaches and Partial Jacobi Approximation
Roberto Nuca, Erlend Storvik, Florin A. Radu +1
Coupled multi-physics problems are encountered in countless applications and pose significant numerical challenges. Although monolithic approaches offer possibly the best solution…
A robust solution strategy for the Cahn-Larché equations
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten +1
In this paper we propose a solution strategy for the Cahn-Larché equations, which is a model for linearized elasticity in a medium with two elastic phases that evolve subject to a…
An accelerated staggered scheme for phase-field modeling of brittle fracture
Erlend Storvik, Jakub Wiktor Both, Juan Michael Sargado +2
There is currently an increasing interest in developing efficient solvers for phase-field modeling of brittle fracture. The governing equations for this problem originate from a co…
The fixed-stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten +1
The fixed-stress splitting scheme is a popular method for iteratively solving the Biot equations. The method successively solves the flow and mechanic subproblems while adding a st…
On the optimization of the fixed-stress splitting for Biot's equations
Erlend Storvik, Jakub Wiktor Both, Kundan Kumar +2
In this work we are interested in effectively solving the quasi-static, linear Biot model for poromechanics. We consider the fixed-stress splitting scheme, which is a popular metho…