Welcome to the web corner of our efforts on

Advanced mathematical methods and software platform for solving multi-physics, multi-domain problems on modern computer architectures: applications to environmental engineering and medical problems

a project started on January 1st, 2012 and supported by the General Secretariat for Research and Technology (GSRT), of the Hellenic Ministry of Education under a Thales grand. Some more info can be found here.

Thank you for your interet.



  1. Manolis Vavalis, Mo Mu, George Sarailidis, Finite element simulations of window Josephson junctions, Journal of Computational and Applied Mathematics, Volume 236, Issue 13, July 2012, Pages 3186-3197 10.1016/j.cam.2012.02.017.
  2. Manolis Vavalis, George Sarailidis, Hybrid PDE solvers, accepted to PDE Software Frameworks
  3. Manolis Vavalis,  Real valued iterative methods for the Helmholtz equation with complex wave numbers, revised version submitted to Applied Numerical Mathematics
  4. Manolis Vavalis, Dimitris Benis, Semantic Web Services for High Performance Scientific Computing, in preparation.


  1. Hybrid PDE Solvers


  • Chombo: Software for Adaptive Solutions of Partial Differential Equations
  • COMSOL: Multiphysics engineering simulation software environment
  • deal.II: A Finite Element Differential Equations Analysis Library
  • FEniCS: a collection of free software with an extensive list of features for automated, efficient solution of differential equations
  • FiPy: A Finite Volume PDE Solver Using Python
  • FlexPDE: Scripted Multi-Physics Finite Element Solution Environment for Partial Differential Equations
  • freeFEM family of software
  • HiFlow3: A multi-purpose finite element software
  • OpenModelica: open-source Modelica-based modeling and simulation environment
  • Overture: Object-Oriented Tools for Solving PDEs in Complex Geometries
  • pdelib2: A collection of software components which are useful to create simulators based on solving partial differential equations
  • PETSc: A suite of data structures and routines for the scalable solution of scientific applications modeled by partial differential equations