2022 Volume 2022 Pages 20220015
While s-version of finite element method (SFEM) can achieve high spatial resolution in a local domain by superimposing multiple meshes with different basis functions, it is well known that using Lagrange polynomials as the basis functions of conventional SFEM leads to discontinuous integrand which reduces the accuracy. This study adopts 2nd-order B-spline function as a basis function of SFEM in order to make the integrand continuous and improve the integral accuracy while reducing computational cost. Numerical benchmark tests using manufactured solutions are presented to validate the numerical accuracy of the proposed method.