Benjamin Dörich

I am a junior research group leader of the group '’Numerical methods for nonlinear optics’’ at Karlsruhe Institute of Technolgy within the Collaborative Research Center (CRC) 1173 Wave phenomena: analysis and numerics.

Research interests

Numerical solution of (time-dependent) partial differential equations

• Error analysis for the time and space discretization
  • time integration by exponential integrators, Runge–Kutta, and multistep methods
  • spatial discretization by finite elements
  • rigorous error bounds
• Construction of tailor-made methods for specific applications
  • Treatment of nonlinear effects (Ginzburg–Landau energy, nonlinear wave equations)
  • Low-regularity requirements
• Interdisciplinary research projects
  • Appearance of vortices in superconductors
  • Effects of 2D materials in plasmonic nanogaps
  • Tortuosity in porous media with application to batteries