A conservative hybrid method for darcy flow

Varun Jain*, Joël Fisser, Artur Palha, Marc Gerritsma

*Corresponding author for this work

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

1 Citation (Scopus)
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We present a hybrid mimetic spectral element formulation for Darcy flow. The discrete representations for (1) conservation of mass, and (2) inter-element continuity, are topological relations that lead to sparse matrix systems. These constraints are independent of the element size and shape, and thus invariant under mesh transformations. The resultant algebraic system is extremely sparse even for high degree polynomial basis. Furthermore, the system can be efficiently assembled and solved for each element separately.

Original languageEnglish
Title of host publicationSpectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 - Selected Papers from the ICOSAHOM Conference
EditorsSpencer J. Sherwin, Joaquim Peiró, Peter E. Vincent, David Moxey, Christoph Schwab
Number of pages13
ISBN (Print)9783030396466
Publication statusPublished - 2020
Event12th International Conference on Spectral and High-Order Methods, ICOSAHOM 2018 - London, United Kingdom
Duration: 9 Jul 201813 Jul 2018

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)1439-7358
ISSN (Electronic)2197-7100


Conference12th International Conference on Spectral and High-Order Methods, ICOSAHOM 2018
Country/TerritoryUnited Kingdom

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