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Research
Fields of Research
- Tumor modeling
- Bloodflow modeling
- Modeling of porous media flow
- Application of model reduction techniques: dimension reduced modeling, homogenization, data based learning
Publications
University of Technology Munich (TUM)
| Author(s) | Title | Appeared In | Year | Type | Download |
|---|---|---|---|---|---|
| Marvin Fritz, Tobias Koeppl, J. Tinsley Oden, Andreas Wagner, Barbara Wohlmuth, Chengyue Wu | A 1D–0D–3D coupled model for simulating blood flow and transport processes in breast tissue | International Journal for Numerical Methods in Biomedical Engineering | 2022 | Article in Journal |
Abstract
Link 
Bibtex |
| Marvin Fritz, Prashant K. Jha, Tobias Koeppl, J. Tinsley Oden, Barbara Wohlmuth | Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network | Nonlinear Analysis: Real World Application | 2021 | Article in Journal |
Abstract
Link
Bibtex |
| Marvin Fritz, Prashant K. Jha, Tobias Koeppl, J. Tinsley Oden, Andreas Wagner, Barbara Wohlmuth | Modeling and simulation of vascular tumors embedded in evolving capillary networks | Computer Methods in Applied Mechanics and Engineering | 2021 | Article in Journal |
Abstract
Link
Bibtex |
| Daniel Drzisga, Tobias Koeppl, Barbara Wohlmuth | Semi matrix-free twogrid shifted Laplacian preconditioner for the Helmholtz equation with near optimal shifts | Submitted | 2021 | Article in Journal |
Abstract
Link
Bibtex |
| Rainer Helmig, Tobias Koeppl, Iuliu Sorin Pop, Cornelis Johannes van Duijn | Fronts in two-phase porous flow problems: effects of hysteresis and dynamic capillarity | Studies in Applied Mathematics | 2020 | Article in Journal |
Abstract
Link
Bibtex |
| Tobias Koeppl, Ettore Vidotto, Barbara Wohlmuth | A 3D-1D coupled blood flow and oxygen transport model to generate microvascular networks | International Journal for Numerical Methods in Biomedical Engineering | 2020 | Article in Journal |
Abstract
Link
Bibtex |
| Rainer Helmig, Timo Koch, Tobias Koeppl, Ettore Vidotto, Barbara Wohlmuth | Hybrid models for simulating blood flow in microvascular networks | SIAM Multiscale Modeling and Simulation | 2019 | Article in Journal |
Abstract
Link
Bibtex |
| Tobias Koeppl, Ettore Vidotto, Barbara Wohlmuth, Paolo Zunino | Mathematical modeling, analysis and numerical approximation of second order elliptic problems with inclusions | Mathematical Models and Methods in Applied Sciences | 2017 | Article in Journal |
Abstract
Link
Bibtex |
| Tobias Koeppl, Ettore Vidotto, Barbara Wohlmuth | A local error estimate for the Poisson equation with a line source term. | ENUMATH 2015 | 2016 | Article in Conference Proceedings |
Abstract
Link Bibtex |
| Rainer Helmig, Tobias Koeppl, Barbara Wohlmuth | A multi-scale model for mass transport in arteries and tissue | Recent Trends in Computational Engineering-CE2014 | 2015 | Article in Conference Proceedings |
Abstract
Link
Bibtex |
| Daniel Drzisga, Rainer Helmig, Tobias Koeppl, Ulrich Pohl, Barbara Wohlmuth | Numerical modeling of compensation mechanisms for peripheral arterial stenoses | Computers in Biology and Medicine | 2015 | Article in Journal |
Abstract
Link
Bibtex |
| Tobias Koeppl, Barbara Wohlmuth | Optimal a priori error estimates for an elliptic problem with Dirac right-hand side | SIAM Journal on Numerical Analysis | 2014 | Article in Journal |
Abstract
Bibtex |
| Tobias Koeppl, Ulrich Pohl, Martin Schneider, Barbara Wohlmuth | The influence of an unilateral carotid artery stenosis on brain oxygenation | Medical Engineering & Physics | 2014 | Article in Journal |
Abstract
Link
Bibtex |
| Rainer Helmig, Tobias Koeppl, Barbara Wohlmuth | Reduced one-dimensional modelling and numerical simulation for mass transport in fluids | Int. J. of Numerics in Fluids | 2013 | Article in Journal |
Abstract
Link
Bibtex |
| Tobias Koeppl, Tobias Weinzierl | A geometric space-time multigrid algorithm for the heat equation | Numerical Mathematics: Theory, Methods and Applications (NM-TMA) | 2012 | Article in Journal |
Abstract
Link
Bibtex |
University of Stuttgart
- M. Schneider, T. Köppl, R. Helmig, R. Steinle and R. Hilfer (2018)
Stable propagation of saturation overshoots for two-phase flow in porous media, Link
Transport in Porous Media 121 (3), 621-641
- T. Köppl, G. Santin, B. Haasdonk, and R. Helmig (2018)
Numerical modelling of a peripheral arterial stenosis using dimensionally reduced models and kernel methods, Link, semanticscholar
International journal for numerical methods in biomedical engineering 34(8), e3095
- T. Köppl, M. Fedoseyev, and R. Helmig (2018)
Simulation of Surge Reduction Systems using dimensionally reduced Models, Link
Journal of Hydraulic Engineering 145.1: 04018079
Selected talks
- Hybrid models for simulating blood flow in microvascular networks, Interpore, Valencia, May 2019, Link
- Propagation of saturation overshoots for two-phase flow in porous media, SIAM GS, Erlangen, September 2017, Link
- Numerical analysis of elliptic problems with small inclusions, Interpore, Rotterdam, May 2017
- Stability of saturation overshoots for twophase flow in porous media, Interpore German Chapter, Leipzig, December 2016
- Numerical analysis of multi-dimensional models for network flow in biological systems, SIMAI, Milan, September 2016
- Numerical modeling of compensation mechanisms for peripheral arterial stenoses, ECCOMAS, Crete, June 2016
- Multi-scale modeling of flow and transport processes in arterial networks and tissue, Coupled problems 2015, Venice, May 2015
- Multi-scale modeling of flow and transport processes in arterial networks and tissue,
Oberwolfach Workshop: Reactive Flows in Deformable Complex Media, Oberwolfach, October 2014, Link
- A Multiscale Model for Network Flow Embedded in Porous Media, SIAM GS, Padua, June 2013
- Reduced one-dimensional modelling and numerical simulation for mass transport in fluids, FEM Symposium, Chemnitz, September 2012
- A geometric space-time multigrid algorithm for the heat equation, EMG, Ischia, September 2010
Teaching
Lectures
- Summer term 21: Case Studies Scientific Computing (MA4306)
- Winter term 20/21: Case Studies Scientific Computing (MA4306)
- Winter term 19/20: Case Studies Scientific Computing (MA4306)
- Summer term 19: Case Studies Scientific Computing (MA4306)
- Winter term 17/18: Simulation Technology (University of Stuttgart), Sim Tech A, Part 3: Modelling of blood flow in large vessels
- Winter term 16/17: Simulation Technology (University of Stuttgart), Sim Tech A, Part 3: Modelling of blood flow in large vessels
- Winter term 15/16: Simulation Technology (University of Stuttgart), Sim Tech A, Part 3: Modelling of blood flow in large vessels
- Winter term 14/15: Simulation Technology (University of Stuttgart), Sim Tech A, Part 3: Modelling of blood flow in large vessels
Selected tutorials
- Winter term 20/21: Übungsleitung: Numerical Methods for Partial Differential Equations (MA3304)
- Summer term 20: Tutorial: Differential and Integral Calculus (MSE)
- Winter term 16/17: Übungsleitung: Numerische Methoden in der Fluidmechanik
- Summer term 16: Übungsleitung: Modeling of Hydrosystems
- Winter term 13/14: Übungsleitung: Analysis I für Physiker
- Summer term 13: Übungsleitung: Numerische Behandlung partieller Differentialgleichungen (MSE)
- Summer term 11: Übungsleitung: Einführung in die Numerik (TUM in ONE)
- Summer term 11: Übungsleitung: Einführung in die Numerik
- Winter term 10/11: Übungsleitung: Numerik von Differentialgleichungen
- Summer term 10: Übungsleitung: Numerische Mathematik
Supervised Bachelor- and Mastertheses
- Numerische Simulation konvektionsdominierter Transportprozesse in 1-D mittels finiter Differenzenverfahren
L. B., Bachelor thesis, 2019, Department of Hydromechanics and Modelling of Hydrosystems, University of Stuttgart
- Upscaling von kapillaren Netzwerkstrukturen
Y. Ö., Master thesis, 2018, Department of Hydromechanics and Modelling of Hydrosystems, University of Stuttgart
- Lumped parameter models for the cardiovascular system
M. D., Master thesis, 2017, COMMAS, Department of Hydromechanics and Modelling of Hydrosystems, University of Stuttgart
- Simulation of Blood Flow through a Bifurcation at capillary level by 3D and 1D models
K. K., Bachelor thesis, 2017, Department of Hydromechanics and Modelling of Hydrosystems, University of Stuttgart
- Modelling of intra- and extracellular flow and transport processes
K. S., Master thesis, 2016, Simulation Technology, University of Technology Munich
- Modellierung des Strömungsübergangs am porösen Medium für Filterelemente
D. R., Master thesis, 2016, MANN+HUMMEL GMBH, University of Stuttgart
- Numerical Modeling of Peripheral Arterial Stenoses and Evaluation of Compensation Mechanisms
D. D., Master thesis, 2015, Chair for Numerical Mathematics, University of Technology Munich
- Numerische Simulation von Sauerstofftransport in Blut mittels eindimensionaler Transportgleichungen
An. An., Bachelor Thesis, 2013, Chair for Numerical Mathematics, University of Technology Munich
- Numerische Simulation des Blutflusses auf Kapillarebene
M. D., Bachelor thesis, 2013, Chair for Numerical Mathematics, University of Technology Munich
- Halbautomatische Bildsegmentierung von Gefäßnetzwerken und Visualisierung numerischer Lösungen auf dreidimensionalen Rekonstruktionen
D. D., Bachelor thesis, 2013, Chair for Numerical Mathematics, University of Technology Munich
- Modellierung und Simulation arterieller Netzwerke
M. S., Master thesis, 2013, Chair for Numerical Mathematics, University of Technology Munich
- Simulation und Visualisierung eines arteriellen Netzwerkes
M. G., Bachelor thesis, 2012, Chair for Numerical Mathematics, University of Technology Munich
- Anwendung von Zeitintegrationsverfahren auf ein Beispiel aus der klassischen Molekulardynamik
F. D., Bachelor thesis, 2011, Chair for Numerical Mathematics, University of Technology Munich
- Model Reduction and Numerical Simulation of Transport Processes in Blood Vessels with Bifurcations
R. A., Master thesis, 2011, Chair for Numerical Mathematics, University of Technology Munich
Education
Academic credentials
- (2019-) Lecturer, Akademischer Rat a.Z., Chair for Numerical Mathematics, University of Technology Munich
- (2014-2018) Post Doctoral Position, Department of Hydromechanics and Modelling of Hydrosystems, University of Stuttgart
- (2010-2014) Doctoral Studies in Applied Mathematics, Chair for Numerical Mathematics, University of Technology Munich
- (2005-2010) Diploma Techno-Mathematics, University of Technology Munich
Theses
- Habilitation Thesis: Model reduction techniques for simulating complex flow processes, 2020,
Supervisor: Prof. Dr. Rainer Helmig, Department of Hydromechanics and Modelling of Hydrosystems, University of Stuttgart
- Doctoral Thesis: Multi-scale modeling of flow and transport processes in arterial networks and tissue, 2015,
Supervisors: Prof. Dr. Barbara Wohlmuth, Prof. Dr. Rainer Helmig, Chair for Numerical Mathematics, University of Technology Munich
- Diploma Thesis: Ein adaptiver Raum-Zeit Mehrgitteralgorithmus zur Lösung der Wärmeleitungsgleichung, 2010,
Supervisors: Prof. Dr. Hans-Joachim Bungartz, Prof. Dr. Tobias Weinzierl, Chair of Scientific Computing in Computer Science (SCCS), University of Technology Munich
