Numerical modelling of electromechanical coupling using fictitious domain and level set methods

DOI10.1002/nme.2636zbMath1176.78027OpenAlexW1992030328MaRDI QIDQ3649893

Daniel J. Rixen, Andriy Andreykiv

Publication date: 7 December 2009

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.2636

zbMATH Keywords

Lagrange multipliersfinite element methodlevel set methodfictitious domain methodelectromechanical couplingmicro-electro mechanical systems

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Technical applications of optics and electromagnetic theory (78A55) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (5)

A level-set-based large sliding contact algorithm for easy analysis of implant positioning ⋮ Coupled simulation of multibody and finite element systems: an efficient and robust semi-implicit coupling approach ⋮ A domain decomposition technique applied to the solution of the coupled electro-mechanical problem ⋮ A high-order immersed boundary discontinuous-Galerkin method for Poisson's equation with discontinuous coefficients and singular sources ⋮ Two-fluid model with interface sharpening

Uses Software

• Getfem++

Cites Work

• Unnamed Item
• Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies
• Fictitious domain method for unsteady problems: application to electromagnetic scattering
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• A fictitious domain method for Dirichlet problem and applications
• Monolithic modelling of electro-mechanical coupling in micro-structures
• Imposing Dirichlet boundary conditions in the extended finite element method
• A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method
• Immersed electrokinetic finite element method
• The enriched space–time finite element method (EST) for simultaneous solution of fluid–structure interaction
• A finite element method for crack growth without remeshing
• Arbitrary discontinuities in space–time finite elements by level sets and X‐FEM

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