Tietotekniikan laitos

Reliable methods for computer simulation

last modified Mar 06, 2014 10:56 AM
Research profile

       

      Research topics

      The group studies the reliability of scientific computation and mathematical modelling in the wide sense. The main lines of the research are the following:

      • A posteriori error estimates for highly non–linear models in continuum mechanics (plasticity and variational inequalities)
      • Evaluation of errors arising due to indeterminacy or incomplete knowledge of data in scientific and engineering computations,
      • Guaranteed and computable error bounds for approximations of elliptic and hyperbolic versions of the Maxwell’s problem and related models in electromechanics,
      • Guaranteed and computable error bounds for evolutionary problems and respective iterative and adaptive solution methods,
      • Estimation of errors arising due to the dimension reduction of the models applied in linear elasticity.

      Local activity

      Main goal is to support research focused on new methods in computer simulation and mathematical modeling and to create in Jyväskylä an international center of excellence in the field. The Reliable computing group has a considerable history in Jyv¨askyl¨a. Professors Neittaanmäki and Repin have successfully supervised several Ph.D. studies on the topic (M. Frolov 2004, P. Turchin 2006, E. Gorshgova 2007, and O. Mali 2011). The group is well organized and involves members from various stages of their scientific careers. The scientific education of the group is managed by organizing courses aimed for advanced master students and doctoral students and participating international summer schools. Prof. Repin has lectured several intensive courses on topics including a posteriori error control (2008), variational inequalities (2009), mathematical models on plasticity (2010). These courses are available to all interested students. The next course (TIES595) on advanced numerical methods will start on October 2011.

      Our research group organizes yearly an international junior workshop, which provides excellent growing grounds for young scientists. The workshop has been organized in Jyväskylä (2008, 2010) and in St. Petersburg (2009, 2011) and it has attracted participants from Finland, Russia, Germany, Norway, Switzerland, Austria. On 2012 the workshop will be again organized in Jyväskylä. Members of the group were involved in organizing international conferences in Jyväskylä, namely memorial conference of V. Rivkind (2010) and Eccomas CAO (2011). In 2013 the group members will be part of the organizing committee of Reliable Methods on Mathematical Modelling (RMMM) 2013, which is to be organized in Jyväskylä. The RMMM conference is the leading European conference dedicated to mathematics of reliable computing. The group has organized a seminar on numerical methods.

      International activity

      The activity of the group includes frequent interaction between University of Jyväskylä and Steklov institute. Due to the international character of two group leaders the amount of international connections is considerable. Moreover, the yearly junior workshop has established new connections, in particular with the University of Duisburg–Essen in Germany. In the last year cooperation with the Radon institute has been initiated. The external partners of the group in include:

      • Prof. R. Stenberg, Aalto University,
      • Prof. D. Pauly, University of Duisburg–Essen, Germany,
      • Prof. J. Valdman, Technical University of Ostrava, Czech,
      • Prof. S. Sauter and Dr. T. Samrowski, University of Zurich,
      • Prof. U. Langer and Dr. S. Tomar, RADON institute, Austria.

      The group members participate 2-4 international conferences every year. At his point we mention: Adaptive Methods in Mathematical Modelling ADMOS 2007, ADMOS 2009, ADMOS 2011, X Finnish Mechanics days 2010, RMMM 2009, RMMM 2011, ECCOMAS CAO 2010, etc. The group has taken active part in ECCOMAS CFD 2010 (Lisbon) and in ENUMATH 2011 (Leicester), where there were independent minisymposiums organized the group dedicated reliable computing.