eprintid: 1384702 rev_number: 31 eprint_status: archive userid: 608 dir: disk0/01/38/47/02 datestamp: 2013-02-02 22:37:56 lastmod: 2021-12-06 23:46:58 status_changed: 2013-02-02 22:37:56 type: article metadata_visibility: show item_issues_count: 0 creators_name: Burman, E title: Projection Stabilization of Lagrange Multipliers for the Imposition of Constraints on Interfaces and Boundaries ispublished: pub divisions: UCL divisions: B04 divisions: C06 divisions: F59 keywords: Lagrange multiplier method; Nitsche's method; stabilized finite element method note: © 2013 The Authors. Numerical Methods for Partial Differential Equations Published by Wiley Periodicals, Inc. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. abstract: Projection stabilization applied to general Lagrange multiplier finite element methods is introduced and analyzed in an abstract framework. We then consider some applications of the stabilized methods: (i) the weak imposition of boundary conditions, (ii) multiphysics coupling on unfitted meshes, (iii) a new interpretation of the classical residual stabilized Lagrange multiplier method introduced in Barbosa and Hughes, Comput Methods Appl Mech Eng 85 (1991), 109–128. © 2013 The Authors. Numerical Methods for Partial Differential Equations Published by Wiley Periodicals, Inc. 30: 567–592, 2014 date: 2014-03 official_url: http://dx.doi.org/10.1002/num.21829 vfaculties: VMPS oa_status: green full_text_type: pub primo: open primo_central: open_green verified: verified_manual elements_source: WoS-Lite elements_id: 850079 doi: 10.1002/num.21829 lyricists_name: Burman, Erik lyricists_id: ENBUR31 full_text_status: public publication: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS volume: 30 number: 2 pagerange: 567 - 592 issn: 0749-159X citation: Burman, E; (2014) Projection Stabilization of Lagrange Multipliers for the Imposition of Constraints on Interfaces and Boundaries. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS , 30 (2) 567 - 592. 10.1002/num.21829 <https://doi.org/10.1002/num.21829>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/1384702/1/num21829.pdf