Spectral and high order methods

Spectral methods and the h-p version of the finite element method have been attracting a growing interest in the last decades, and indeed represent the state of the art in a number of problems arising in various fields of engineering and scientific computing.  The reasons behind this growing interest manly rely on the need of a very high accuracy in the numerical simulations  as well as an increasingly easy access to large-scale parallel computing facilities. In this context, the research at MOX on Spectral and high order methods focuses on both the theoretical mathematical investigation and algorithmic implementation as well as their application to wide class of problems arising in various fields of Engineering.

View a list of journal publications and MOX Reports related to Spectral and high order methods.

View a list of theses related to Spectral and high order methods.

High order discontinuous Galerkin approximate solution of a second-order elliptic PDE on an implicitely defined surface in ℝ3.

High order discontinuous Galerkin approximate solution of a second-order elliptic PDE on an implicitely defined surface in ℝ3.

Eponential decay of the entries of the inverse of the discrete laplacian operator.