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Photo of Konstantin Zerulla

Dr. Konstantin Zerulla

  • Karlsruher Institut für Technologie
    Fakultät für Mathematik
    Institut für Analysis
    Englerstraße 2
    76131 Karlsruhe

Welcome on my homepage!


Former teaching activity

Winterterm 2019/20: Exercise classes for Advanced mathematics I for civil engineering: analysis and linear algebra
Summerterm 2019: Exercise classes for Numerical linear algebra
Winterterm 2017/18: Exercise classes for Analysis III
Winterterm 2017/18: Seminar on dynamical systems (advisor for students)

Research

I am a PostDoc in the workgroup for functional analysis and in the CRC 1173 within project A4: Time integration of Maxwell and Wave-type equations.
Further information about the CRC 1173 may be found on waves.kit.edu and about project A4 on waves.kit.edu/A4.php.

My current fields of research and interests are:

  • Elliptic transmission problems on irregular domains
  • Wellposedness and regularity of time dependent Maxwell equations on heterogeneous domains
  • Stabilizability and observability of time-discrete approximation systems to (nonlinear) Maxwell equations
  • Nonlinear wave equations
  • Error analysis of abstract numerical time integration schemes for time dependent Maxwell equations
  • Interpolation theory

Publications

Zerulla, K.: A uniformly exponentially stable ADI scheme for Maxwell equations. J. Math. Anal. Appl. 492 (2020), 124442. DOI: 10.1016/j.jmaa.2020.124442
Zerulla, K.: Interpolation of a regular subspace complementing the span of a radially singular function. Studia Math. 265 (2022), 197-210. DOI: 10.4064/sm210621-12-8

Preprints

Zerulla, K.: A uniformly exponentially stable ADI scheme for Maxwell equations. Preprint
Zerulla, K.: Interpolation of a regular subspace complementing the span of a radially singular function. Online First. Online First Version
Zerulla, K.: Construction and analysis of an ADI splitting for Maxwell equations with low regularity in heterogeneous media. Submitted. Preprint
Dörich, B. and Zerulla, K.: Wellposedness and regularity for linear Maxwell equations with surface current. Submitted Preprint

Thesis

Zerulla, K.: "ADI schemes for the time integration of Maxwell equations". PhD thesis, Karlsruhe Institute of Technology (KIT), December 2020. Link

Talks

  • November 2017: Stability preserving discrete approximations to damped wave equations, research seminar for functional analysis, Karlsruhe.
  • September 2018: A uniformly exponentially stable ADI scheme for Maxwell equations, NUMDIFF-15, Halle (Saale).
  • October 2018: A uniformly exponentially stable ADI scheme for Maxwell equations, CRC Workshop on time integration of PDEs, Annweiler.
  • February 2019: An ADI scheme with uniformly exponentially stable approximations for the Maxwell equations, TULKKA seminar, Ulm.
  • April 2019: Error analysis of an ADI scheme for linear Maxwell equations in heterogeneous media, iRTG Workshop, Karlsruhe.
  • July 2019: Error analysis of an ADI splitting scheme for Maxwell equations in heterogeneous media, SciCADE, Innsbruck.
  • August 2019: Time integration and regularity theory of Maxwell equations in heterogeneous media, WAVES, Vienna.
  • October 2019: Discrete Strichartz estimates, CRC Workshop on time integration of PDEs, Hirschegg.
  • April 2020: Error analysis for the time integration of Maxwell equations in heterogeneous media, CRC Seminar, Karlsruhe.
  • October 2020: Error analysis of an ADI scheme for Maxwell equations in heterogeneous cuboids, CRC Workshop on time integration of PDEs, Bad Herrenalb.
  • February 2021: Approximations to a nonlinear Schrödinger equation and discrete Strichartz estimates, Seminar Nonlinear Partial Differential Equations, Karlsruhe.
  • October 2021: Time integration of Maxwell equations with low regularity, CRC Workshop on time integration of PDEs, Hirschegg.
  • November 2021: Time integration of Maxwell equations with low regularity, Seminar Functional Analysis, Karlsruhe.
  • February 2022: Time integration of Maxwell equations on heterogeneous media, Conference on Mathematics of Wave Phenomena, Karlsruhe.