Abstract
ABSTRACTIn this paper, we develop the isogeometric analysis of the dual boundary element method (IGA-DBEM) to solve the potential problem with a degenerate boundary. The non-uniform rational B-Spline (NURBS) based functions are employed to interpolate the geometry and physical function. To deal with the rank-deficiency problem due to the degenerate boundary, the hypersingular integral equation is introduced to promote the full rank for the influence matrix in the dual BEM. Finally, three numerical examples are given to verify the accuracy of our proposed method. Both circular and square domains subjected to the Dirichlet boundary condition are considered. The engineering problem containing a degenerate boundary is considered, e.g., a seepage flow problem with a sheet pile. Numerical results of the IGA-DBEM agree well with these of the exact solution and the original dual boundary element method.
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Mechanical Engineering,Condensed Matter Physics
Reference46 articles.
1. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
2. Isogeometric fluid-structure interaction: theory, algorithms, and computations
3. Isogeometric boundary element method for crack propagation based on Bézier extraction of NURBS
4. 42 Peddie, J. , The History of Visual Magic in Computers: How beautiful images are made in CAD, 3D, VR and AR, Springer, New York (2013).
5. Isogeometric analysis of structural vibrations
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献