Reduced basis model reduction for non-linear evolution equations

Basic data of the doctoral examination procedure

Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster

Period of time: 01/04/2009 - 04/07/2012

Status: completed

Candidate: Drohmann, Martin

Doctoral subject: Mathematik

Doctoral degree: Dr. rer. nat.

Awarded by: Department 10 - Mathematics and Computer Science

Supervisors: Ohlberger, Mario; Haasdonk, Bernard

Institute for Analysis and Numerics

Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)

Reduced basis methods for model reduction of nonlinear parameterized evolution equations Duration: 01/02/2011 - 31/01/2013 \| 2nd Funding period Funded by: DFG - Individual Grants Programme Type of project: Individual project
Reduced basis methods for model reduction of nonlinear parameterized evolution equations (RBevol) Duration: 01/02/2009 - 31/01/2011 \| 1st Funding period Funded by: DFG - Individual Grants Programme Type of project: Individual project

Reduced Basis Model Reduction of Parametrized Two-Phase Flow in Porous Media Drohmann Martin , Haasdonk Bernard, Ohlberger, Mario (2012) In: (eds.), 7th Vienna International Conference on Mathematical Modelling, 722-727. (kein Verlag angegeben). doi:10.3182/20120215-3-AT-3016.00128 Research article in edited proceedings (conference) \| Peer reviewed \| Published
A software framework for reduced basis methods using DUNE-RB and RBmatlab Drohmann M, Haasdonk B, Kaulmann S, Ohlberger M (2012) In: A. Dedner B. Flemisch RK (eds.), Advances in DUNE. Proceedings of the DUNE User Meeting, Held 6.-8.10.2010, in Stuttgart, Germany., 77-88. Springer. doi:10.1007/978-3-642-28589-9_6 Research article in edited proceedings (conference) \| Published
Adaptive Reduced Basis Methods for Nonlinear Convection-Diffusion Equations Drohmann M, Haasdonk B, Ohlberger M (2011) In: Fort J. et al. (eds.), Finite Volumes for Complex Applications VI - Problems & Perspectives, 369-377. Springer. doi:10.1007/978-3-642-20671-9_39 Research article in edited proceedings (conference) \| Peer reviewed \| Published
Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation Drohmann M, Haasdonk B, Ohlberger M (2010) (kein Verlag angegeben). Working paper \| Published

Reduced Basis Model Reduction of Parametrized Two-Phase Flow in Porous Media Drohmann Martin , Haasdonk Bernard, Ohlberger, Mario (2012) In: (eds.), 7th Vienna International Conference on Mathematical Modelling, 722-727. (kein Verlag angegeben). doi:10.3182/20120215-3-AT-3016.00128 Research article in edited proceedings (conference) \| Peer reviewed \| Published
A software framework for reduced basis methods using DUNE-RB and RBmatlab Drohmann M, Haasdonk B, Kaulmann S, Ohlberger M (2012) In: A. Dedner B. Flemisch RK (eds.), Advances in DUNE. Proceedings of the DUNE User Meeting, Held 6.-8.10.2010, in Stuttgart, Germany., 77-88. Springer. doi:10.1007/978-3-642-28589-9_6 Research article in edited proceedings (conference) \| Published
Adaptive Reduced Basis Methods for Nonlinear Convection-Diffusion Equations Drohmann M, Haasdonk B, Ohlberger M (2011) In: Fort J. et al. (eds.), Finite Volumes for Complex Applications VI - Problems & Perspectives, 369-377. Springer. doi:10.1007/978-3-642-20671-9_39 Research article in edited proceedings (conference) \| Peer reviewed \| Published
Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation Drohmann M, Haasdonk B, Ohlberger M (2010) (kein Verlag angegeben). Working paper \| Published