Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries

DOI10.1002/num.21829zbMath1288.65153arXiv1203.4116OpenAlexW1863016889MaRDI QIDQ5407982

Erik Burman

Publication date: 8 April 2014

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.4116

zbMATH Keywords

Lagrange multiplier methodstabilized finite element methodNitsche's method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (12)

A new \(k\)-TMI/ALE fluid-structure formulation to study the low mass ratio dynamics of an elliptical cylinder ⋮ Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers ⋮ Projection-based stabilization of interface Lagrange multipliers in immersogeometric fluid-thin structure interaction analysis, with application to heart valve modeling ⋮ An embedded strategy for large scale incompressible flow simulations in moving domains ⋮ A local projection stabilization of fictitious domain method for elliptic boundary value problems ⋮ On the connection between the stabilized Lagrange multiplier and Nitsche's methods ⋮ On the accuracy of finite element approximations to a class of interface problems ⋮ An adaptive fixed-mesh ALE method for free surface flows ⋮ A partition of unity approach to fluid mechanics and fluid-structure interaction ⋮ A weak penalty formulation remedying traction oscillations in interface elements ⋮ Higher-order finite element methods for elliptic problems with interfaces ⋮ Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers

Uses Software

• FreeFem++

Cites Work

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