Spectral mimetic least-squares method for div-curl systems

Marc Gerritsma*, Artur Palha

*Corresponding author for this work

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

1 Citation (Scopus)
37 Downloads (Pure)

Abstract

In this paper the spectral mimetic least-squares method is applied to a two-dimensional div-curl system. A test problem is solved on orthogonal and curvilinear meshes and both h- and p-convergence results are presented. The resulting solutions will be pointwise divergence-free for these test problems. For N> 1 optimal convergence rates on an orthogonal and a curvilinear mesh are observed. For N= 1 the method does not converge.

Original languageEnglish
Title of host publicationLarge-Scale Scientific Computing - 11th International Conference, LSSC 2017, Revised Selected Papers
EditorsIvan Lirkov, Svetozar Margenov
PublisherSpringer
Pages103-110
Number of pages8
ISBN (Print)9783319734408
DOIs
Publication statusPublished - 2018
Event11th International Conference on Large-Scale Scientific Computations, LSSC 2017 - Sozopol, Bulgaria
Duration: 11 Sept 201715 Sept 2017

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10665 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference11th International Conference on Large-Scale Scientific Computations, LSSC 2017
Country/TerritoryBulgaria
CitySozopol
Period11/09/1715/09/17

Keywords

  • Div-curl system
  • Mimetic methods
  • Spectral element method

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