大象传媒

Advisors: Florin Adrian Radu, Kundan Kumar and Jan Martin Nordbotten

Short description of project:

This thesis concerns iterative solvers for poromechanics problems. The听problems in the studies have involved linear poromechanics, non-linear听poromechanics, and poromechanics under large deformation. We included听high order discretizations, applied linearization techniques and听splitting methods to develop new solvers. We studied the robustness and听convergence of these solvers.

By studying the mixed stress method as an iterative solver for听poromechanics, we developed an optimized version of it. Furthermore, by听extending the convergence analysis in the time domain, we developed a听new version of the xed stress method that is partially parallelized.听This splitting method was combined with linearization techniques to听develop solvers for non-linear poromechanics. By studying the听convergence of the linearisation schemes, we developed new solvers and听extended the applicability to more complex phenomena, for instance听poromechanics with large deformation.

Link to thesis at BORA-UiB:听

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