Staff Dilini Kolombage

Address:
Institut für Numerische Simulation,
Friedrich-Hirzebruch-Allee 7
53115 Bonn
Phone: +49 228 73-69744
Office: FHA7 1.038
E-Mail: ed tod nnob-inu tod sni ta gabmoloka tod b@foo tod de

Research interests

  • (multiscale) finite element methods
  • efficient solvers for random and heterogeneous PDEs
  • convergence analysis and a priori error estimates
  • iterative solvers and preconditioning
  • defect-induced eigenfunction localization in heterogeneous media
  • high-order time integration methods

Short CV

  • 2023-present: PhD, INS, University of Bonn
  • 2020-2022: Student assistant, University of Göttingen
  • 2019-2022: MSc, Mathematics, University of Göttingen
  • 2017-2018: Teaching assistant, University of Kelaniya
  • 2013-2017: BSc, Mathematics(special) and Physics, University of Kelanya

Teaching

Summer semester 2026

See teaching activities of the whole group.

Current Research Projects

Numerical methods for nonlinear, random and dynamical multiscale problems

Project 496556642, DFG Emmy Noether.

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Publications

Preprints

  1. Subspace decomposition with defect diffusion coefficient. D. Kolombage, A. Målqvist, and B. Verfürth. arXiv preprint 2603.09924, 2026. BibTeX arXiv

Journal articles

  1. Offline-online approximation of multiscale eigenvalue problems with random defects. D. Kolombage and B. Verfürth. ESAIM Math. Model. Numer. Anal., 59(4):2055–2079, 2025. BibTeX DOI

Proceedings articles

  1. Offline-online approximation of multiscale eigenvalue problems with random defects. D. Kolombage. In B. Engquist, D. Peterseim, B. Verfürth, and Y. Yang, editors, Computational Multiscale Methods, volume 22 of Oberwolfach Reports, 1150–1153. 2025. BibTeX DOI

Thesis

  1. Spectral Deferred Correction Methods for Spatially Discretized Flow Problems. D. Kolombage. Master Thesis, Institute for Numerical and Applied Mathematics, University of Göttingen, 2023. BibTeX DOI