Interface element method (IEM) for a partitioned system with non-matching interfaces

DOI10.1016/S0045-7825(02)00255-4zbMath1101.74365MaRDI QIDQ1858463

Hyun-Gyu Kim

Publication date: 13 February 2003

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

zbMATH Keywords

finite elementsglobal-local analysisnon-matching interfacesmoving least squareinterface element methodpartitioned domains

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)

Related Items

Polyhedral elements with strain smoothing for coupling hexahedral meshes at arbitrary nonmatching interfaces ⋮ A polytree based coupling method for non-matching meshes in 3D ⋮ \(N\)-sided polygonal smoothed finite element method (nSFEM) with non-matching meshes and their applications for brittle fracture problems ⋮ A new approach for nonmatching interface construction by the method of localized Lagrange multipliers ⋮ A matrix-free Chimera approach based on Dirichlet-Dirichlet coupling for domain composition purposes ⋮ Variationally consistent coupling of non-matching discretizations for large deformation problems ⋮ A novel scheme to generate meshes with hexahedral elements and poly-pyramid elements: the carving technique ⋮ Numerical simulation of crack propagation in shell structures using interface shell elements ⋮ Interface element method: treatment of non-matching nodes at the ends of interfaces between partitioned domains. ⋮ A new coupling strategy for fluid-solid interaction problems by using the interface element method ⋮ A coupling technique for non-matching finite element meshes ⋮ A gap element for treating non-matching discrete interfaces ⋮ On micro-to-macro connections in domain decomposition multiscale methods ⋮ A weak coupling algorithm for seabed-wave interaction analysis ⋮ An improved interface element with variable nodes for non-matching finite element meshes ⋮ Domain decomposition methods for domain composition purpose: chimera, overset, gluing and sliding mesh methods ⋮ Development of three-dimensional interface elements for coupling of non-matching hexahedral meshes ⋮ A generalized simple implicit interpolation scheme in CFD for non-conforming meshes ⋮ Multi-scale domain decomposition method for large-scale structural analysis with a zooming technique: Application to plate assembly ⋮ MLS (moving least square)-based finite elements for three-dimensional nonmatching meshes and adaptive mesh refinement

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On an h-type mesh-refinement strategy based on minimization of interpolation errors
• Recent experiences with error estimation and adaptivity. II: Error estimation for \(h\)-adaptive approximations on grids of triangles and quadrilaterals
• Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems
• A multigrid method for nonconforming FE-discretisations with application to non-matching grids
• Moving least-square reproducing kernel methods. I: Methodology and convergence
• Meshless methods: An overview and recent developments
• An \(h\)-\(p\) adaptive method using clouds
• A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
• Multigrid on the interface for mortar mixed finite element methods for elliptic problems
• \(hp\) submeshing via non-conforming finite element methods
• A coupled finite element -- element-free Galerkin method
• The mortar finite element method with Lagrange multipliers
• The two-level FETI method for static and dynamic plate problems I: An optimal iterative solver for biharmonic systems
• A variational principle and the convergence of a finite-element method based on assumed stress distribution
• Surfaces Generated by Moving Least Squares Methods
• Mixed and Hybrid Finite Element Methods
• Reproducing kernel hierarchical partition of unity, Part I?formulation and theory
• Element‐free Galerkin methods
• THE PARTITION OF UNITY METHOD
• A variational principle for the formulation of partitioned structural systems
• Reproducing kernel particle methods
• A coupled analysis method for structures with independently modelled finite element subdomains
• Methods for connecting dissimilar three-dimensional finite element meshes