High Order Projection Plane Method for Evaluation of Supersingular Curved Boundary Integrals in BEM
Joint Authors
Gao, Xiao-wei
Cui, Miao
Feng, Wei-zhe
Yang, Kai
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Boundary element method (BEM) is a very promising approach for solving various engineering problems, in which accurate evaluation of boundary integrals is required.
In the present work, the direct method for evaluating singular curved boundary integrals is developed by considering the third-order derivatives in the projection plane method when expanding the geometry quantities at the field point as Taylor series.
New analytical formulas are derived for geometry quantities defined on the curved line/plane, and unified expressions are obtained for both two-dimensional and three-dimensional problems.
For the two-dimensional boundary integrals, analytical expressions for the third-order derivatives are derived and are employed to verify the complex-variable-differentiation method (CVDM) which is used to evaluate the high order derivatives for three-dimensional problems.
A few numerical examples are given to show the effectiveness and the accuracy of the present method.
American Psychological Association (APA)
Cui, Miao& Feng, Wei-zhe& Gao, Xiao-wei& Yang, Kai. 2016. High Order Projection Plane Method for Evaluation of Supersingular Curved Boundary Integrals in BEM. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1112879
Modern Language Association (MLA)
Cui, Miao…[et al.]. High Order Projection Plane Method for Evaluation of Supersingular Curved Boundary Integrals in BEM. Mathematical Problems in Engineering No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1112879
American Medical Association (AMA)
Cui, Miao& Feng, Wei-zhe& Gao, Xiao-wei& Yang, Kai. High Order Projection Plane Method for Evaluation of Supersingular Curved Boundary Integrals in BEM. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1112879
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112879