Mimetic Spectral Element Method for Anisotropic Diffusion

Marc Gerritsma*, Artur Palha, Varun Jain, Yi Zhang

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeChapterScientificpeer-review

7 Citations (Scopus)


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.

Original languageEnglish
Title of host publicationSEMA SIMAI Springer Series
EditorsDaniele Antonio Di Pietro, Alexandre Ern, Luca Formaggia
Number of pages44
ISBN (Electronic)978-3-319-94676-4
ISBN (Print)978-3-319-94675-7
Publication statusPublished - 1 Jan 2018

Publication series

NameSEMA SIMAI Springer Series
ISSN (Print)2199-3041
ISSN (Electronic)2199-305X


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