Mixed formulation for interface problems with distributed Lagrange multiplier

DOI10.1016/j.camwa.2014.07.020zbMath1361.76016OpenAlexW2144006340MaRDI QIDQ2397298

Michele Ruggeri, Daniele Boffi, Lucia Gastaldi

Publication date: 22 May 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.07.020

zbMATH Keywords

finite elementsLagrange multiplierfluid-structure interactionsinterface problems

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Boundary value problems for second-order elliptic systems (35J57)

Related Items (12)

The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier ⋮ Existence, uniqueness, and approximation of a fictitious domain formulation for fluid-structure interactions ⋮ Optimal a priori error estimates for elliptic interface problems: weak Galerkin mixed finite element approximations ⋮ Fictitious domain finite element method for Stokes/elliptic interface problems with jump coefficients ⋮ Unfitted mixed finite element methods for elliptic interface problems ⋮ Preface ⋮ A fictitious domain method with distributed Lagrange multiplier for parabolic problems with moving interfaces ⋮ An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and its Application to DLM/FD Method for Elliptic Interface Problems ⋮ Distributed Lagrange multiplier/fictitious domain finite element method for Stokes/parabolic interface problems with jump coefficients ⋮ A monolithic arbitrary Lagrangian-Eulerian finite element analysis for a Stokes/parabolic moving interface problem ⋮ Finite element analysis of an arbitrary Lagrangian-Eulerian method for Stokes/parabolic moving interface problem with jump coefficients ⋮ On a fictitious domain method with distributed Lagrange multiplier for interface problems

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