Blar i Bergen Open Research Archive på forfatter "Brun, Mats Kirkesæther"
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An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters
Brun, Mats Kirkesæther; Wick, Thomas; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2020)This paper concerns the analysis and implementation of a novel iterative staggered scheme for quasi-static brittle fracture propagation models, where the fracture evolution is tracked by a phase field variable. The model ... -
Modeling the Process of Speciation Using a Multiscale Framework Including A Posteriori Error Estimates
Brun, Mats Kirkesæther; Ahmed, Elyes; Nordbotten, Jan Martin; Stenseth, Nils Christian (Journal article; Peer reviewed, 2022)This paper concerns the modeling and numerical simulation of the process of speciation. In particular, given conditions for which one or more speciation events within an ecosystem occur, our aim is to develop the necessary ... -
Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport
Brun, Mats Kirkesæther; Ahmed, Elyes; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2020)This paper concerns monolithic and splitting-based iterative procedures for the coupled nonlinear thermo-poroelasticity model problem. The thermo-poroelastic model problem we consider is formulated as a three-field system ... -
Upscaling of the Coupling of Hydromechanical and Thermal Processes in a Quasi-static Poroelastic Medium
Brun, Mats Kirkesæther; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian (Peer reviewed; Journal article, 2018-08)We undertake a formal derivation of a linear poro-thermo-elastic system within the framework of quasi-static deformation. This work is based upon the well-known derivation of the quasi-static poroelastic equations (also ... -
Upscaling, analysis, and iterative numerical solution schemes for thermo-poroelasticity
Brun, Mats Kirkesæther (Doctoral thesis, 2019-06-28)The main objectives of this research project is to provide part of the mathematical models and simulation technology required to assess large-scale deployment of thermomechanical subsurface energy storage in the context ... -
Wave breaking in long wave models and undular bores
Brun, Mats Kirkesæther (Master thesis, 2015-12-18)Bores are a well known phenomena in fluid mechanics, although their occurrence in nature is relatively rare. The circumstances in which they occur is usually when a tidal swell causes a difference in surface elevation in ... -
Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport
Brun, Mats Kirkesæther; Radu, Florin Adrian; Ahmed, Elyes; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2019-03)This paper is concerned with the analysis of the quasi-static thermo-poroelastic model. This model is nonlinear and includes thermal effects compared to the classical quasi-static poroelastic model (also known as Biot's ...