1989
DOI: 10.1061/(asce)0733-9399(1989)115:9(1993)
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Error Estimation for Boundary Element Analysis

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Cited by 22 publications
(7 citation statements)
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“…In the context of the boundary element analysis, the boundary L 2 norm is usually preferred, as it can be easily evaluated from the boundary solution alone in contrast to the energy norm which requires solutions to be known at internal points as well (Rencis and Jong, 1989). The absolute error in the approximate solution of function v is defined as…”
Section: Error Indicatorsmentioning
confidence: 99%
See 1 more Smart Citation
“…In the context of the boundary element analysis, the boundary L 2 norm is usually preferred, as it can be easily evaluated from the boundary solution alone in contrast to the energy norm which requires solutions to be known at internal points as well (Rencis and Jong, 1989). The absolute error in the approximate solution of function v is defined as…”
Section: Error Indicatorsmentioning
confidence: 99%
“…To obtain a more transparent measure of solution error, exact relative L 2 error (in per cent) can be defined as (Rencis and Jong, 1989) h…”
Section: Error Indicatorsmentioning
confidence: 99%
“…Interval boundary element method (IBEM) [20] has been developed to account for the uncertainty in boundary conditions, integration error, and truncation error. Global discretization error in the integral equations for solutions to harmonic and bi-harmonic problems [21] and for BEM [22,23] was shown to converge. This paper discusses the interval treatment of local discretization error in IBEM illustrated on a torsion problem.…”
Section: Introductionmentioning
confidence: 95%
“…The transformed boundary integral equations are then solved by approximating the true solution over discrete boundaries, thus introducing the discretization error. Although discretization error estimates have been made for BEM [1,2] the worst case bounds on the local discretization error have been computed only for the Laplace problem [3].…”
Section: Introductionmentioning
confidence: 99%