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Constructive Methods of Mathematical Analysis (CMMA)

Head: Křížek Michal  prof. RNDr., DrSc.

The department countinues the long tradition of investigation and use of numerical methods established in the Institute by the world leading specialist Prof. Ivo Babuška. The importance of such methods continues growing with the development of computational and experimental technique. Mathematical modelling of complex physical processes involving immense amount of data requires new methods of communication with computers, namely for optimal employment of their ever growing capacity, and for increasing speed and controlling rigour of computation by means of superconvergence and aposteriori estimate of errors. The main topic concerns analysis and optimization of the finite element method for solving partial differential equations describing physical processes in solid matters and fluids.

 Research themes
  • Finite element analysis
  • discretizations and space decompositions
    higher order approximations to solutions of linear and nonlinear elliptic and parabolic partial differential equations
    automatic mesh generation
    superconvergence phenomena with mathematical modeling of melting and solidification processes
    optimal approximation properties of higher order finite elements
    nonsmooth problems in continuum mechanics
    the worst scenario method
 Members  
   Křížek  Michal   Researcher
   Kůs  Pavel   Postdoc
   Krasnovský  Pavol   Ph.D. student
   Rybář  Vojtěch   Ph.D. student
   Segeth  Karel   Researcher
   Šístek  Jakub   Researcher
   Švadlenka  Karel   Researcher
   Vejchodský  Tomáš   Researcher
   Vitásek  Emil   Researcher

 

 Former members      help

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   Hlaváček  Ivan   Researcher    from 1970 to 2011
   Kůs  Pavel   Ph.D. student    from 2007 to 2011
   Málek  Tomáš   Ph.D. student    from 2007 to 2012
   Málek  Tomáš   Postdoc    from 2012 to 2014
   Novák  Jan   Ph.D. student    from 2012 to 2014
   Ortaggio  Marcello   Researcher    from 2008 to 2014
   Přikryl  Petr   Researcher    from 1970 to 2012
   Pravda  Vojtěch   Researcher    from 2001 to 2014
   Pravdová  Alena   Researcher    from 2001 to 2014
   Šístek  Jakub   Postdoc    from 2009 to 2013
   Tintěra  Tomáš   Ph.D. student    from 2013 to 2014