Home
Research
Publications
Teaching
Photos
Contact

Research

      Research Interests

  • Modelling and Simulation of thermal effects in semiconductor devices and electric networks.
  • Construction of iterative solvers for coupled device-network problems
  • Positivity preserving discretization of partial differential and differential-algebraic equations
  • Mixed finite elements
  • Index of coupled device-network model equations
  • Numerics of advection-diffusion equations

 

      Current and former participation at research projects

Numerical coupling of electric circuits with heat flow and semiconductor models

       Third party project at the Johannes Gutenberg-Universität in Mainz funded by the German Ministry for Education and Research (BMBF) as project "03JUNAVN" in the framework of the programme "Math&Industry" in collaboration with Qimonda AG in Munich. The project ran between june 2004 and october 2007. 

It was launched in June 2004 as one of four partial project of  the common project "Numerical Simulation of electric circuits in the time domain"  with partners at the universities in Wuppertal, Berlin and Köln.

Within the project new models for optoelectronic semiconductor devices like laser and photo diodes based on the energy transport model have been developed. Self heating effects in devices are modelled by the heat flow equation, with a new energy conserving source term.

Moreover, the electro-thermal semiconductor models have been numerically coupled to electric and thermal network model equations and algorithms have been developed for the iterative solution of the strongly coupled systems.

The numerical results show the significant influence of heating effects in nanoscale devices and integrated circuits and show the need of thermal consideration in circuit simulation.

For details see project's webpage (in german)

 

 

 

Coupled Multiscale Simulation and Optimization in Nanoelectronics (CoMSON)

 

CoMSON is a Marie Curie Research Training Network supported by the European Commission in the framework of the programme "Structuring the European Research Area" within the 6th Framework Research Programme of the European Union. It was established on October 1st, 2005, and will run for a total of four years.

In CoMSON and the "Math&Industry" project  partially the same project partners were involved. Due to the strong thematic interface a intence collaboration emerged and both projects and project partners benefit from mutual consulting and exchange of experience. Results attained in the Math&Indutry project have been implemented in the CoMSON demonstrator plattform.

For details see www.comson.org

 
 

Smart Systems - New Materials, adaptive systems and their nonlinearities. Modeling, controle and numerical simulation

 

This research project is supported by the European Commission and the scientific objectives are the development of efficient mathematical methods and numerical tools for modelling, control and numerical simulation. The project ran between november 2002 and ocotber 2006.

Financed by this project an research collaboration on coupled network-device systems with Prof. Carlo Lovadina at the "Istituto di Matematica Applicata e Technologi Informatiche" (IMATI) in Pavia was carried out from october to december 2005 and from october to november 2006.

For details see http://www.esiee.fr/smart-systems/

 

Markus Brunk - Fachbereich C - Institut für angewandte Mathematik und numerische Analysis - Bergische Universität Wuppertal | brunk(at)math.uni-wuppertal.de