Isogeometric Boundary Element Analysis Base On Generalized B-spline

In recent years,geometric analysis has been widely used in the field of mechanical and physical simulation,which is mainly to CAD describes the geometry of the base function applied to the numerical solution.Many researchers have applied the concept of geometric analysis to finite element analysis,but little attention has been paid to boundary elements.The traditional boundary element needs to be subdivided and subdivided by the physical model created by the CAD software.However,when the precision does not meet the demand,the grid will be re-meshed,and the concept of geometric is applied to the boundary element.Effectively reduce the time wastage caused by grid.Our approach applied the conception of isogeometric analysis is applied to the boundary element to solve the boundary value problem,which mainly analyzes the two-dimensional elasticity problem and predicts the displacement and stress of the problem domain,can effectively help the mechanical engineering design and scientific research.NURBS can be used to represent most common graphs,but some problem domains with analytic curves,such as trigonometric polynomial curves and hyperbolas,can not be represented exactly.The generalized B-spline can accurately represent the above-mentioned analytical curves and the mixed curves composed of them,and the generalized B-spline can be represented by the subdivision method,which can effectively avoid the errors caused by the traditional discrete elements.The obtained graphs are approximated by polygons,We can use triangulation and barycenter method to get the intra-domain solution,and avoid the traditional harmonic function representation and calculation.Compared with other methods,this method is more accurate and reduces the complexity of calculation.