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, 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
"An Eulerian finite element method for partial differential equations posed on surfaces"
(2013-2016), "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 |