Structure-preserving continuous and discontinuous finite elements for hyperbolic equations
Scientific-Disciplinary Group
01/MATH-05 - Numerical Analysis
Description
Structure-preserving continuous and discontinuous Galerkin finite element schemes for hyperbolic PDE The topic of this research project is to develop new structure-preserving (SP) continuous and discontinuous Galerkin finite element schemes for the solution of nonlinear systems of hyperbolic PDE, in particular for the compressible Euler equations, the equations of ideal and resistive MHD and the equations of nonlinear hyperelasticity in Eulerian coordinates. The MHD equations and the equations of hyperelasticity are endowed with divergence and curl involutions and the main objective of the research is to develop exactly divergence-free and curl-free schemes that maintain these properties also in the presence of shocks and discontinuities...
Job posting website
Number of positions
1
Funding body
Università degli Studi di Trento
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