Publications |

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Professor of
Department of Mathematics |

My fields of expertise are numerical analysis, computational PDEs, numerical linear algebra, computational fluid dynamics.

Current interests include: computational free surfaces, computational cardiovascular hemodynamics, non-Newtonian and high speed flows, unfitted finite element methods, numerical PDEs posed on surfaces and in a bulk, linear algebra tools in computational fluid dynamics.

My current research is supported by NSF through the projects
"Unfitted Finite Element Methods for Partial Differential Equations on Evolving Surfaces and Coupled Surface--Bulk Problems"
(2017-2020), "Collaborative Research: Variational structure preserving methods for incompressible flows: dicretizations, analysis, parallel solvers" (2015-2018), and by ARO through the project "Long-term Stable Conservative Multiscale Methods
for Vortex Flows" (2014-2017).
I am authoring three textbooks in numerical linear algebra multigrid and domain decomposition methods: − Iterative Methods for Linear Systems: Theory and Applications, |
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− Lectures and exercises in multigrid
methods, − Short course on multigrid and domain decomposition methods. |
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Address:
Department of Mathematics University of Houston 651 PGH Houston, Texas 77204 tel:+1-713-743 3470 email: molshan (at) math.uh.edu |