Error estimates for projection-based dynamic augmented Lagrangian boundary condition enforcement, with application to fluid–structure interaction

DOI10.1142/S0218202518500537zbMath1411.74059WikidataQ129511107 ScholiaQ129511107MaRDI QIDQ4630541

Thomas J. R. Hughes, Yue Yu, David Kamensky, Xin Yang Lu, Ming-Chen Hsu, Yuri Bazilevs

Publication date: 27 March 2019

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

augmented Lagrangian methodparabolic initial-boundary value problemLipschitz domainfluid-structure interaction (FSI)immersogeometric methodsub-optimal error estimates

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Physiological flows (76Z05)

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