Library
home (Home) TU Delft Repository login Login

Mimetic Spectral Element Method for Anisotropic Diffusion

Book Chapter (2018)
Author(s)

Marc Gerritsma (TU Delft - Aerospace Engineering)

Artur Palha (Eindhoven University of Technology)

Varun Jain (TU Delft - Aerospace Engineering)

Yi Zhang (TU Delft - Aerospace Engineering)

Research Group
Aerodynamics
DOI related publication
https://doi.org/10.1007/978-3-319-94676-4_3 Final published version
More Info
expand_more
Publication Year
2018
Language
English
Related content
Research Group
Aerodynamics
Volume number
15
Pages (from-to)
31-74
Publisher
Springer
ISBN (print)
978-3-319-94675-7
ISBN (electronic)
978-3-319-94676-4
Downloads counter
201

Abstract

This chapter addresses the topological structure of steady, anisotropic, inhomogeneous diffusion problems. Differential operators are represented by sparse incidence matrices, while weighted mass matrices play the role of metric-dependent Hodge matrices. The resulting mixed formulation is point-wise divergence-free if the right hand side function f = 0. The method is inf-sup stable; no stabilization is required and the method displays optimal convergence on orthogonal and deformed grids.