Dual error indicators for the local boundary integral equation method in 2D potential problems

Three relative error measurements in the numerical solution of potential problems are firstly investigated in detail, and then an algorithm based on the proposed dual error indicators is developed for the meshless local boundary integral equation (LBIE) method. Numerical experiments show that a comb...

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Bibliographic Details
Published inEngineering analysis with boundary elements Vol. 30; no. 8; pp. 702 - 708
Main Authors Guo, X.F., Chen, H.B.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.08.2006
Elsevier
Subjects
Boundaries
Boundary element method
Boundary-integral methods
Computational techniques
Dual error indicators
Error analysis
Errors
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Indicators
Integral equations
Local boundary integral equation
Mathematical analysis
Mathematical methods in physics
Mathematical models
Moving least squares
Physics
Regularization
Taylor series expansion
Moving least squares
Taylor series expansion
Local boundary integral equation
Regularization
Dual error indicators
Measurement errors
Error estimation
Boundary integral method
Taylor series
Potential theory
Potential function
Experimental study
Meshless method
Series expansion
Modelling
Least square fit
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Summary:Three relative error measurements in the numerical solution of potential problems are firstly investigated in detail, and then an algorithm based on the proposed dual error indicators is developed for the meshless local boundary integral equation (LBIE) method. Numerical experiments show that a combined use of the two error indicators is necessary to adequately measure the error of the LBIE solutions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2006.02.009