Robust sparse low rank approximation of multi-parametric partial differential equations (B02)

• Subject Area: Mathematics
• Term: since 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 442047500

This project aims at numerical methods for parameter-dependent elliptic PDEs based on polynomial expansions in the parameter domain that retain their efficiency in challenging cases, such as high-contrast coefficients. To this end, we use a new type of low rank approximation for problems with infinitely many parameters and parameter-dependent approximate inversesprovided by the new concept of tensor coefficient hierarchical matrices.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1481: Sparsity and Singular Structures
• Applicant Institution: Rheinisch-Westfälische Technische Hochschule Aachen
• Project Heads: Professor Dr. Markus Bachmayr; Professor Dr. Lars Grasedyck