Blar i Bergen Open Research Archive på forfatter "Both, Jakub"
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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 ... -
Iterative Coupling for Fully Dynamic Poroelasticity
Bause, Markus; Both, Jakub; Radu, Florin Adrian (Journal article; Peer reviewed, 2021)We present an iterative coupling scheme for the numerical approximation of the mixed hyperbolic-parabolic system of fully dynamic poroelasticity. We prove its convergence in the Banach space setting for an abstract ... -
Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations
Both, Jakub; Kumar, Kundan; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Radu, Florin Adrian (Conference object; Peer reviewed; Journal article, 2019)Mathematical models for flow and reactive transport in porous media often involve non-linear, degenerate parabolic equations. Their solutions have low regularity, and therefore lower order schemes are used for the numerical ... -
Numerical Investigation on the Fixed-Stress Splitting Scheme for Biot’s Equations: Optimality of the Tuning Parameter
Both, Jakub; Koecher, Uwe (Peer reviewed; Journal article, 2019)We study the numerical solution of the quasi-static linear Biot equations solved iteratively by the fixed-stress splitting scheme. In each iteration the mechanical and flow problems are decoupled, where the flow problem ... -
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. ...