Premium
Domain decomposition with the mortar cell method
Author(s) -
Moro F.,
Alotto P.,
Guarnieri M.,
Stella A.
Publication year - 2013
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1930
Subject(s) - mortar methods , domain decomposition methods , lagrange multiplier , computation , jump , benchmark (surveying) , mathematics , decomposition , domain (mathematical analysis) , matching (statistics) , multiplier (economics) , basis function , computer science , algorithm , mathematical optimization , mathematical analysis , finite element method , engineering , structural engineering , chemistry , physics , organic chemistry , statistics , quantum mechanics , geodesy , economics , macroeconomics , geography
A novel domain decomposition technique is proposed in order to enforce either continuity or jump conditions on subdomain interfaces in nonconforming 2D discrete formulations, based on the cell method or the finite integration technique. Lagrange multiplier basis functions are proposed for an easy computation of the Schur complements in the partitioned linear system. Different matching and jump conditions are tested and compared on benchmark problems with analytical solutions. Copyright © 2013 John Wiley & Sons, Ltd.