Browsing Bergen Open Research Archive by Author "Storvik, Erlend"
Now showing items 1-5 of 5
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An accelerated staggered scheme for variational phase-field models of brittle fracture
Storvik, Erlend; Both, Jakub Wiktor; Sargado, Juan Michael Uy Villanueva; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2021)There is currently an increasing interest in developing efficient solvers for variational phase-field models of brittle fracture. The governing equations for this problem originate from a constrained minimization of a ... -
A Cahn-Hilliard-Biot system and its generalized gradient flow structure
Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin; Radu, Adrian Florin (Journal article; Peer reviewed, 2022)In this work, we propose a new model for flow through deformable porous media, where the solid material has two phases with distinct material properties. The two phases of the porous material evolve according to a generalized ... -
The Fixed-Stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence
Storvik, Erlend; Both, Jakub; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2021)The fixed-stress splitting scheme is a popular method for iteratively solving the Biot equations. The method successively solves the flow and mechanics subproblems while adding a stabilizing term to the flow equation, which ... -
On the optimization of iterative schemes for solving non-linear and/or coupled PDEs
Storvik, Erlend (Master thesis, 2018-12-11)In this thesis we study the optimization of iterative schemes as both linearization methods, and as splitting methods for solving non-linear and coupled partial differential equations (PDEs). We consider two equations that ... -
On the optimization of the fixed‐stress splitting for Biot's equations
Storvik, Erlend; Both, Jakub; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian (Peer reviewed; Journal article, 2019)In this work, we are interested in efficiently solving the quasi‐static, linear Biot model for poroelasticity. We consider the fixed‐stress splitting scheme, which is a popular method for iteratively solving Biot's equations. ...