A projection iterative algorithm for the Signorini problem using the boundary element method

DOI10.1016/j.enganabound.2014.08.012zbMath1403.74265OpenAlexW1979693848MaRDI QIDQ1653613

Shougui Zhang

Publication date: 6 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.08.012

zbMATH Keywords

convergenceSignorini problemfixed pointboundary element methodprojection iterative algorithm

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Contact in solid mechanics (74M15) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items

Boundary augmented Lagrangian method for the Signorini problem., Meshless numerical analysis of partial differential equations with nonlinear inequality constraints, Application of the method of fundamental solutions to 2D and 3D Signorini problems, Boundary augmented Lagrangian method for contact problems in linear elasticity, Two projection methods for the solution of Signorini problems, Meshless projection iterative analysis of Signorini problems using a boundary element-free method, An augmented Lagrangian method for the Signorini boundary value problem with BEM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The boundary element-linear complementarity method for the Signorini problem
• Semi-smooth Newton methods for the Signorini problem.
• Boundary integral equations
• Adaptive \(hp\)-versions of boundary element methods for elastic contact problems
• Numerical solution of a shallow dam problem by a boundary element method
• General variational inequalities
• Solving the Signorini problem on the basis of domain decomposition techniques
• A numerical algorithm for the solution of Signorini problems
• Wiener-Hopf equations and variational inequalities
• On the boundary element method for the Signorini problem of the Laplacian
• Projection-splitting algorithms for monotone variational inequalities
• Some recent advances in projection-type methods for variational inequalities
• Some developments in general variational inequalities
• Error estimates for an LDG method applied to Signorini type problems
• Adaptive \(hp\)-versions of BEM for Signorini problems
• A posteriori error estimations of residual type for Signorini's problem
• The symmetric boundary element method for unilateral contact problems
• Percolation in Gently Sloping Beaches
• A Model for an Electropaint Process
• A Direct Boundary Element Method for Signorini Problems
• Fundamental Solutions Method for Elliptic Boundary Value Problems
• The method of fundamental solutions for Signorini problems
• Semi–Smooth Newton Methods for Variational Inequalities of the First Kind
• The numerical solution of three-dimensional Signorini problems with the method of fundamental solutions
• Improvements of some projection methods for monotone nonlinear variational inequalities