Analytical integrations in boundary element method for 3D Laplace and
Stokes flow problems
- Yaochuang Han,
- Hao Dong
Luoyang Normal University
Corresponding Author:email@example.comAuthor Profile
AbstractThis paper considers the analytical technique of element integral in the
boundary element method with constant element for 3D Laplace and Stokes
flow problems. For 3D Laplace problems, the analytical integral
formulae, which are valid for an arbitrary source point, are derived.
For 3D Stokes flow problems, analytical evaluation of the integrals,
which the source point and the boundary element are in the same plane,
are proposed. These analytical formulae are applicable for arbitrary
convex polygonal planar elements. Numerical examples are given to
validate the improvement on accuracy.