Adaptive methods for nonlinear eigenvalue problems with parameters

• Applicant: Dr. Agnieszka Miedlar
• Subject Area: Mathematics
• Term: from 2013 to 2014
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 244622119

This project is concerned with adaptive methods for nonlinear eigenvalue problems that are nonlinear in the eigenvalue parameter. Many problems of this type arise from the discretization of differential and integral equations. Furthermore, very often they depend on additional parameters. The proposed research aims to fill the gap in understanding and improving discretization processes and design a robust numerical methods to solve the resulting discretized problems efficiently. To address these research objectives the project will incorporate expertise from the spectral and perturbation theory, variational characterizations, preconditioned iterative methods, continuation methods and a posteriori error analysis.

• DFG Programme: Research Fellowships
• International Connection: Switzerland
• Participating Institution: EPFL - Swiss Federal Institute of Technology; Mathematics Institute for Geometry and Applications (MATHGEOM)
• Host: Professor Dr. Daniel Kressner