A three dimensional surface-to-surface projection algorithm for non-coincident domains

DOI10.1002/cnm.601zbMath1090.74056OpenAlexW2024806958MaRDI QIDQ4419237

Tod A. Laursen, Martin W. Heinstein

Publication date: 31 July 2003

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

Full work available at URL: https://doi.org/10.1002/cnm.601

zbMATH Keywords

large deformationscontact mechanicsmesh tyingmortar projection

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (13)

Information transfer between incompatible finite element meshes: Application to coupled thermo-viscoelasticity ⋮ Comparison of conservative and consistent approaches for the coupling of non-matching meshes ⋮ A non-conforming monolithic finite element method for problems of coupled mechanics ⋮ Structural-acoustic coupling on non-conforming meshes with quadratic shape functions ⋮ Spline-based smooth beam-to-beam contact model ⋮ A coupling approach for linear elasticity problems with spatially non-coincident discretized interfaces ⋮ Geometrically exact theory for contact interactions of 1D manifolds. Algorithmic implementation with various finite element models ⋮ Conservative interpolation between volume meshes by local Galerkin projection ⋮ Analysis and computation of a least-squares method for consistent mesh tying ⋮ Transient three-dimensional domain decomposition problems: Frame-indifferent mortar constraints and conserving integration ⋮ Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods ⋮ A novel Lagrange-multiplier based method for consistent mesh tying ⋮ Radial Basis Functions for Interface Interpolation and Mesh Deformation

Cites Work

• A perturbed Lagrangian formulation for the finite element solution of contact problems
• Numerical implementation of two nonconforming finite element methods for unilateral contact
• A 3D mortar method for solid mechanics
• Discretization methods and iterative solvers based on domain decomposition
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