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I am Lecturer in Mathematics and Computing at Kingston University since 2021. My research areas are Numerical Analysis and Scientific Computing. I focus on the design, analysis and efficient implementation of finite or boundary element methods for partial differential equations.
I received my PhD in 2017 from University of Strathclyde in Glasgow, working under the supervision of Victorita Dolean and Gabriel Barrenechea on 'Efficientf discretisation and domain decomposition preconditioners for incompressible fluid mechanics'. Before moving to Kingston University, I was a Research Fellow at University College London from 2019. I worked with Erik Burman and Timo Betcke on 'Coupling of finite element and boundary element methods'. Between 2017-2019 I worked with Giancarlo Sangalli at University of Pavia on 'Efficient solvers for Isogeometric methods'.
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Lecturer in Mathematics and Computing
I am a teacher of:
CI5250 Computing Systems module;
Modeling real-life problems using differential equations.
Efficient solvers for large linear systems.
Development of a numerical software.
My research interests are focusing on the design and analysis of coupling methods for partial differential equations. These methods arise because of considering multi-physics problems or non-conforming methods, or using domain decomposition methods. The applications that I have studied include such fields of science and engineering as fluid dynamics, continuum mechanics and wave propagation.
My theoretical investigations include design of well-posed discrete problems and a priori error analysis for Galerkin finite element methods using continuous and discontinuous approximation spaces.
My computational studies include design of efficient iterative solversusing domain decomposition methods that allow take advantage of modern parallel architectures.
Betcke, Timo, Bosy, Michał and Burman, Erik (2022) Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection. Numerical Algorithms, ISSN (print) 1017-1398 (Epub Ahead of Print)
Bosy, Michał, Montardini, Monica, Sangalli, Giancarlo and Tani, Mattia (2020) A domain decomposition method for isogeometric multi-patch problems with inexact local solvers. Computers & Mathematics with Applications, 80(11), pp. 2604-2621. ISSN (print) 0898-1221
Barrenechea, Gabriel R., Bosy, Michał, Dolean, Victorita, Nataf, Frédéric and Tournier, Pierre-Henri (2019) Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem. Computational Methods in Applied Mathematics, 19(4), pp. 703-722. ISSN (print) 1609-4840
Barrenechea, Gabriel R., Bosy, Michał and Dolean, Victorita (2018) Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations. ETNA - Electronic Transactions on Numerical Analysis, 49, s41-s63. ISSN (online) 1068-9613
Barrenechea, Gabriel R., Bosy, Michał and Dolean, Victorita (2018) Stabilised hybrid discontinuous Galerkin methods for the Stokes problem with non-standard boundary conditions. In: ICOSAHOM 2018 : International Conference on Spectral and High Order Methods; 09 - 13 Jul 2018, London, U.K..