کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471160 698600 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A simple and accurate scheme based on complex space CC to calculate boundary integrals of 2D boundary elements method
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
A simple and accurate scheme based on complex space CC to calculate boundary integrals of 2D boundary elements method
چکیده انگلیسی

In this work a semi-analytical algorithm is presented to calculate the boundary integrals of higher order which appear in boundary elements method (BEM). In fact treating singularity and near singularity of the boundary integrals using complex space CC is the main aim of this paper. The integrals are computed for linear, quadratic, cubic and other higher order elements when the geometry of the boundary elements is curved. The main advantages of the new algorithm are its applicability, simplicity and high accuracy which enable the conventional higher order BEM to solve Poisson’s problems, accurately. The potentials at the interior points very close to boundary can be evaluated by the scheme developed in this report. Some test problems are given and numerical simulations are presented. Numerical results demonstrate that the new algorithm proposed in the current paper can effectively handle singular and near singular boundary integrals of BEM, specially for solving partial differential equations which arise in thin body problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 68, Issue 4, August 2014, Pages 531–542
نویسندگان
, ,