SGBEM with Lagrange multipliers applied to elastic domain decomposition problems with curved interfaces using non-matching meshes

DOI10.1002/nme.2832zbMath1193.74165OpenAlexW2037373544WikidataQ112878925 ScholiaQ112878925MaRDI QIDQ3586903

Vladislav Mantič, Federico París, Roman Vodička

Publication date: 1 September 2010

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.2832

zbMATH Keywords

Lagrange multipliersvariational formulationboundary integral equationsnon-overlapping domain decomposition methodsymmetric Galerkin boundary element methodpotential energy functionalnon-matching mesh

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15)

Related Items

Coupling of BEM subdomains -- BETI applied to collocation BEM with mixed basis functions, Isogeometric FE-BE method with non-conforming coupling interface for solving elasto-thermoviscoelastic problems, Contact Modelling in Multibody Systems by Means of a Boundary Element Co-simulation and a Dirichlet-to-Neumann Algorithm

Uses Software

• SERBA
• BEAN

Cites Work

• Domain decomposition in the symmetric boundary element analysis
• A formulation based on localized Lagrange multipliers for BEM-FEM coupling in contact problems
• Review of coupling methods for non-matching meshes
• BEM solution of two-dimensional contact problems by weak application of contact conditions with nonconforming discretizations
• A hybrid coupled finite-boundary element method in elasticity
• A symmetric boundary element method for contact problems with friction
• Two different approaches for matching nonconforming grids: The mortar element method and the FETI method
• Comparing the conventional displacement BIE and the BIE formulations of the first and second kind in frictionless contact problems.
• A residual-based error estimator for BEM discretizations of contact problems
• Boundary element tearing and interconnecting methods
• Domain decomposition methods via boundary integral equations
• Stability estimates for hybrid coupled domain decomposition methods
• Weak Coupling of the Symmetric Galerkin BEM with FEM for Potential and Elastostatic Problems
• Symmetric Galerkin Boundary Element Method
• hp‐Mortar boundary element method for two‐body contact problems with friction
• FEM and BEM coupling in elastostatics using localized Lagrange multipliers
• Mixed and Hybrid Finite Element Methods
• A new boundary element approach for contact problems with friction
• Symmetric Galerkin boundary integral formulation for interface and multi-zone problems
• Consistent mesh tying methods for topologically distinct discretized surfaces in non-linear solid mechanics
• A 3D mortar method for solid mechanics
• A coupling of multi-zone curved Galerkin BEM with finite elements for independently modelled sub-domains with non-matching nodes in elasticity
• Common‐refinement‐based data transfer between non‐matching meshes in multiphysics simulations
• Discretization methods and iterative solvers based on domain decomposition
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