Variationally consistent coupling of non-matching discretizations for large deformation problems

DOI10.1007/s00466-017-1417-0zbMath1412.65227OpenAlexW2610227739WikidataQ113327398 ScholiaQ113327398MaRDI QIDQ1697128

Arun Prakash, Xiaowo Wang, Jiun-Shyan Chen, Ertugrul Taciroglu

Publication date: 15 February 2018

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-017-1417-0

zbMATH Keywords

finite element methoddomain decompositionpatch testmeshfree methodsvariationally consistent integrationnon-matching interfaces

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Structured surfaces and interfaces, coexistent phases (74A50) 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 (3)

Stabilized and variationally consistent integrated meshfree formulation for advection-dominated problems ⋮ A transient global-local generalized FEM for parabolic and hyperbolic PDEs with multi-space/time scales ⋮ A three-field dual mortar method for elastic problems with nonconforming mesh

Uses Software

• ABAQUS

Cites Work

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• Coupling three-field formulation and meshless mixed Galerkin methods using radial basis functions
• Numerical integration of the Galerkin weak form in meshfree methods
• An adaptive procedure based on background cells for meshless methods
• Nodal integration of the element-free Galerkin method
• Reproducing kernel particle methods for large deformation analysis of nonlinear structures
• Element-free Galerkin methods in combination with finite element approaches
• Filters, reproducing kernel, and adaptive meshfree method
• The mosaic of high performance domain decomposition methods for structural mechanics: formulation, interrelation and numerical efficiency of primal and dual methods.
• A mortar segment-to-segment contact method for large deformation solid mechanics.
• A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes
• An adaptive approach with the element-free-Galerkin method
• Interface element method (IEM) for a partitioned system with non-matching interfaces
• A coupled finite element -- element-free Galerkin method
• A finite element method for the simulation of strong and weak discontinuities in solid mechanics
• An improved interface element with variable nodes for non-matching finite element meshes
• Frictionless 2D contact formulations for finite deformations based on the mortar method
• High-order mortar-based element applied to nonlinear analysis of structural contact mechanics
• An arbitrary order variationally consistent integration for Galerkin meshfree methods
• Meshfree Particle Methods
• Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact
• A new dual mortar method for curved interfaces: 2D elasticity
• Coupling of mesh-free methods with finite elements: basic concepts and test results
• Efficient simulation of multi-body contact problems on complex geometries: A flexible decomposition approach using constrained minimization
• On the Variational Foundations of Assumed Strain Methods
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Element‐free Galerkin methods
• A finite element method for domain decomposition with non-matching grids
• Consistent mesh tying methods for topologically distinct discretized surfaces in non-linear solid mechanics
• A 3D mortar method for solid mechanics
• A simple algorithm for localized construction of non-matching structural interfaces
• A domain decomposition method on nested domains and nonmatching grids
• Non‐conforming mesh gluing in the finite elements method
• Methods for connecting dissimilar three-dimensional finite element meshes
• A class of mixed assumed strain methods and the method of incompatible modes
• Nonlinear Continuum Mechanics for Finite Element Analysis
• A FETI‐based multi‐time‐step coupling method for Newmark schemes in structural dynamics
• Two dimensional mortar contact methods for large deformation frictional sliding
• Meshfree Methods

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