• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文会议>International Conference on Education, Mathematics and Science >The System of Equations for Mixed BVP With One Dirichlet Boundary Condition and Three Neumann Boundary Conditions
【24h】

The System of Equations for Mixed BVP With One Dirichlet Boundary Condition and Three Neumann Boundary Conditions

机译：具有一个Dirichlet边界条件的混合BVP和三个Neumann边界条件的方程式系统

获取原文
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Boundary Element Method (BEM) is a numerical way to approximate the solutions of a Boundary Value Problem (BVP). The potential problem which involves the Laplace's equation on the square shape domain will be considered where the boundary is divided into four sets of linear boundary elements. We study the derivation system of equation for mixed BVP with one Dirichlet Boundary Condition (BC) is prescribed on one element of the boundary and Neumann BC on the other three elements. The mixed BVP will be reduced to a Boundary Integral Equation (BIE) by using a direct method which involves Green's second identity representation formula. Then, linear interpolation is used where the boundary will be discretized into some linear elements. As the result, we then obtain the system of linear equations. In conclusion, the specific element in the mixed BVP will have the specific prescribe value depends on the type of boundary condition. For Dirichlet BC, it has only one value at each node but for the Neumann BC, there will be different values at the corner nodes due to outward normal. Therefore, the assembly process for the system of equations related to the mixed BVP may not be as straight forward as Dirichlet BVP and Neumann BVP. For the future research, we will consider the different shape domains for mixed BVP with different prescribed boundary conditions.
机译：边界元方法（BEM）是近似边值问题（BVP）解的数值方式。将认为边界分为四组线性边界元件，认为涉及Laplace的方程的潜在问题。我们研究与一个Dirichlet边界条件（BC）的混合BVP的衍生系统的衍生系统在其他三个元件上的边界和Neumann Bc的一个元件上规定。通过使用涉及绿色的第二身份表示公式的直接方法，将混合的BVP减小到边界积分方程（BIE）。然后，使用线性插值，其中边界将被离散化成一些线性元件。结果，我们将获得线性方程的系统。总之，混合BVP中的特定元素将具有特定的规定值取决于边界条件的类型。对于Dirichlet BC，它在每个节点上只有一个值，但对于Neumann BC，由于向外正常，角部节点将存在不同的值。因此，与混合BVP相关的方程系统的组装过程可能不像Dirichlet BVP和Neumann BVP那样直截了起。对于未来的研究，我们将考虑具有不同规定的边界条件的混合BVP的不同形状域。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号