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M.Sc. Marvin Fritz

Name :

Marvin Fritz

Address : M2 - Lehrstuhl für Numerische Mathematik
Boltzmannstraße 3
85748 Garching b. München

Office :

03.10.058

Phone : +49 89 289 18428
E-mail :

marvin.fritz(at)ma.tum.de

Office hours : By arrangement

Research interests

Publications

  1. Marvin Fritz, Ustim Khristenko, Barbara Wohlmuth (2021)
    Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy
    preprint (arXiv Pfeil)
  2. Marvin Fritz, Mabel L. Rajendran, Barbara Wohlmuth (2021)
    Time-fractional Cahn-Hilliard equation: Well-posedness, degeneracy, and numerical solutions
    submitted (arXiv Pfeil)
  3. Marvin Fritz, Prashant K. Jha, Tobias Köppl, J. Tinsley Oden, Andreas Wagner, Barbara Wohlmuth (2021)
    Modeling and simulation of vascular tumors embedded in evolving capillary networks
    Computer Methods in Applied Mechanics and Engineering (Published Pfeil, arXiv Pfeil)
  4. Marvin Fritz, Christina Kuttler, Mabel L. Rajendran, Laura Scarabosio, Barbara Wohlmuth (2020)
    On a subdiffusive tumour growth model with fractional time derivative
    IMA Journal of Applied Mathematics (Published Pfeil, arXiv Pfeil)
  5. Marvin Fritz, Prashant K. Jha, Tobias Köppl, J. Tinsley Oden, Barbara Wohlmuth (2020)
    Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network
    Nonlinear Analysis: Real World Applications (Published Pfeil, arXiv Pfeil)
  6. Marvin Fritz, Ernesto A.B.F. Lima, Vanja Nikolić, J. Tinsley Oden, Barbara Wohlmuth (2019)
    Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation
    Mathematical Models and Methods in Applied Sciences (Published Pfeil, arXiv Pfeil)
  7. Marvin Fritz, Ernesto A.B.F. Lima, J. Tinsley Oden, Barbara Wohlmuth (2019)
    On the unsteady Darcy-Forchheimer-Brinkman equation in local and nonlocal tumor growth models
    Mathematical Models and Methods in Applied Sciences (Published Pfeil, arXiv Pfeil)
  8. Marvin Fritz, Vanja Nikolić, Barbara Wohlmuth (2018)
    Well-posedness and numerical treatment of the Blackstock equation in nonlinear acoustics
    Mathematical Models and Methods in Applied Sciences (Published Pfeil, arXiv Pfeil)

Conferences

  1. DMV-ÖMG Jahrestagung 2021, On the time-fractional Cahn-Hilliard equation applied to tumor growth (September 2021)
  2. 16th U.S. National Congress on Computational Mechanics (USNCCM), Phase field models of the growth of tumors embedded in an evolving vascular network: Dynamic 1D-3D models of angiogenesis (July 2021)
  3. VI ECCOMAS Young Investigators Conference (YIC), Analysis of a mixed-dimensional tumor growth model (July 2021)
  4. SIAM Conference on Computational Science and Engineering (SIAM CSE), Analysis of the time-fractional Cahn-Hilliard equation (March 2021)
  5. Society for Mathematical Biology (SMB) 2020 Annual Meeting, Analysis of a multispecies tumor growth models coupling 3D phase-fields with a 1D vascular network (August 2020)
  6. International Workshop on Recent Developments in Modelling, Analysis and Simulation of Processes in Porous Media, On the unsteady Darcy-Forchheimer-Brinkman equation in tumor growth models (March 2020)

Useful links

Illustrations