2.1 Discontinuous/Hybrid Collocation methods

 

Development of discontinuous and hybrid high-order FEM collocation numerical methods and investigation of their appropriateness in addressing heterogeneous field problems with interface discontinuities

 

The objectives of the action's research activity is the development of orthogonal or spline Collocation methods for the solution of non-classic PDEs and the treatment of the coefficients discontinuities, as well as the understanding of their affection in Collocation's behaviour as far as convergence and  stability are concerned. The numerical schemes that are to be developed, will be implemented both in serial and modern parallel computing environments. 

 

Deliverables

 

  • 1 technical report
  • Publication of at least 3 scientific articles in international scientific journals or/and conference proceedings.
  • Software

 

The Technical University of Crete Research Team is the main work group that will carry out the greater part of the action, will author and publish the results and edit a technical report with the description of the scientific activities that took place during the action and the research results that emerged.