On adaptive refinement analysis for the coupled boundary element method : reproducing kernel particle method
Lee, Chi King
Shuai, Y. Y.
Date of Issue2007
School of Civil and Environmental Engineering
An adaptive refinement procedure for the coupled boundary element-reproducing kernel particle method (coupled BE-RKPM) is suggested. The procedure is developed by combining a h-adaptive BEM refinement scheme based on the residual approach and an adaptive RKPM refinement scheme based on an extraction type a posteriori error estimator. During the adaptive refinement process for the coupled analysis, the displacement compatibility condition along the interface boundary of the BEM and the RKPM domains is maintained by using a penalty approach and a simple node spacing adjustment procedure. Thus, no specially formulated finite element is required along the interface boundary between the RKPM and the BEM domains. Numerical examples show that the suggested procedure significantly reduces the effect of singularity and nearly optimal convergence rate is obtained.
DRNTU::Engineering::Civil engineering::Structures and design
International journal for computational methods in engineering science and mechanics
© 2007 Taylor & Francis. This is the author created version of a work that has been peer reviewed and accepted for publication by International Journal of Computational Methods in Engineering Science and Mechanics, Taylor & Francis. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1080/15502280701334392].