Error analysis and novel near-field preconditioning techniques for Taylor series multipole-BEM

Xiao, H.; Xia, Yang

doi:10.1016/j.enganabound.2009.08.003

Cited by 7 publications

(2 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The computational costs and accuracy of near-field preconditioner can be easily controlled with the size of near-field threshold, allowing us to control how closely M approximates A −1 . The sparsity pattern is based on the mesh neighborhood nodes [43] so that the preconditioner will quite likely achieve a good performance in improving the iterative efficiency.…”

Section: Near-field Preconditioning Techniquementioning

confidence: 99%

Taylor series multipole boundary element‐mathematical programming method for 3D multi‐bodies elastic contact problems

Xiao

Xia

2009

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

SUMMARYUtilizing the mathematical programming technique of contact problems and Fast Multipole Boundary Element Method (FM-BEM) theory, Taylor Series Multipole BEM (TSMBEM) for solving 3D multibodies elastic frictional contact problems is presented based on the 'node-to-surface' contact model. The numerical method is able to analyze the large-scale contact problems using non-conforming or conforming boundary meshes. For multi-bodies contact problems, the computational costs of contact identification can be effectively reduced by the contact table. The mathematical programming method for TSMBEM is presented based on the interpolation approach of contact elements. The linear system arising from multipole BEM is solved by using Generalized Minimal RESidual algorithm GMRES(m) in conjunction with near-field preconditioning technique. The numerical experiments of flat punch and HC roll system are carried out by the newly developed multipole BEM. The numerical results are compared with the Hertz theoretical solutions, which illustrate the effectiveness and the validity of the numerical method for 3D multi-bodies elastic frictional contact analysis.

show abstract

Section: Near-field Preconditioning Techniquementioning

confidence: 99%

Taylor series multipole boundary element‐mathematical programming method for 3D multi‐bodies elastic contact problems

Xiao

Xia

2009

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…An improvement on the use of interpolating polynomials is to use spline functions [5]. The discretization errors can be ignored by assuming the boundary is a polygon [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Development of circular arc boundary elements method

Dehghan

Hosseinzadeh

2011

Engineering Analysis with Boundary Elements

View full text Add to dashboard Cite

The fast multipole boundary element methods (FMBEM) and its applications in rolling engineering analysis

Xiao

2012

Comput Mech

View full text Add to dashboard Cite

Error analysis and novel near-field preconditioning techniques for Taylor series multipole-BEM

Cited by 7 publications

References 17 publications

Taylor series multipole boundary element‐mathematical programming method for 3D multi‐bodies elastic contact problems

Taylor series multipole boundary element‐mathematical programming method for 3D multi‐bodies elastic contact problems

Development of circular arc boundary elements method

The fast multipole boundary element methods (FMBEM) and its applications in rolling engineering analysis

Contact Info

Product

Resources

About