Weak impositions of Dirichlet boundary conditions in solid mechanics: a critique of current approaches and extension to partially prescribed boundaries

DOI10.1016/j.cma.2019.01.035zbMath1440.74423OpenAlexW2911673030WikidataQ128492917 ScholiaQ128492917MaRDI QIDQ1987921

Kaizhou Lu, Zhendong Hu, Charles E. Augarde, William M. Coombs

Publication date: 16 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://dro.dur.ac.uk/27289/1/27289.pdf

zbMATH Keywords

Lagrange multipliersDirichlet boundary conditionsfictitious domainNitsche's methodimmersed boundaryimplicit boundary method

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74)

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