Browsing Bergen Open Research Archive by Journals "Lecture Notes in Computational Science and Engineering"
Now showing items 1-8 of 8
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The Fixed-Stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence
(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 ... -
Higher order space-time elements for a non-linear Biot model
(Journal article; Peer reviewed, 2019)In this work, we consider a non-linear extension of the linear, quasi-static Biot’s model. Precisely, we assume that the volumetric strain and the fluid compressibility are non-linear functions. We propose a fully discrete ... -
Implementation of mixed-dimensional models for flow in fractured porous media
(Peer reviewed; Journal article, 2019)Models that involve coupled dynamics in a mixed-dimensional geometry are of increasing interest in several applications. Here, we describe the development of a simulation model for flow in fractured porous media, where the ... -
Iterative Coupling for Fully Dynamic Poroelasticity
(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
(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 ... -
Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments
(Lecture Notes in Computational Science and Engineering, Chapter; Peer reviewed; Journal article, 2019)Starting with the discovery of X-rays by Röntgen in 1895, the progress in medical imaging has been extraordinary and immensely beneficial to diagnosis and therapy. Parallel to the increase of imaging accuracy, there is the ... -
Numerical Investigation on the Fixed-Stress Splitting Scheme for Biot’s Equations: Optimality of the Tuning Parameter
(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 ... -
Reactivation of fractures in subsurface reservoirs - A numerical approach using a static-dynamic friction model
(Chapter; Peer reviewed; Journal article, 2019)Fluid-induced slip of fractures is characterized by strong multiphysics couplings. Three physical processes are considered: Flow, rock deformation and fracture deformation. The fractures are represented as lower-dimensional ...