欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
利用基于滑动Kriging插值的无网格局部Petrov-Galerkin（MLPG）法来求解带源参数的二维热传导问题,推导了相应的离散方程。由于滑动Kriging插值法构造的形函数满足Kronecker Delta特性,因此可以直接施加本质边界条件。在离散过程中采用Heaviside分段函数作为局部弱形式的权函数,时间域则通过向后差分法进行离散,这一处理过程中刚度矩阵只涉及到边界积分,而没有涉及到区域积分。最后通过算例验证了本方法的有效性。
英文摘要：
A meshless local Petrov-Galerkin （MLPG） method based on the moving Kriging interpolation was employed for solving two-dimensional heat conduction problems with a source parameter and the cor- responding discrete differential equations were obtained. The essential boundary conditions can be imple- mented directly as the shape functions possess the Kronecker Delta property. In constructing the weak form of the transformed equations, the Heaviside step function was used as the test function in each sub- domain and the backward difference method was selected for the time discretization scheme. This method does not involve the sub-domain integral in generating the global stiffness matrix except for the boundary integral during this process. The result of a numerical example was presented to show this method is ef- fective.
同期刊论文项目
同项目期刊论文
期刊信息
位置：