Numerical analysis of single-layered graphene sheets by a mesh-free approach

Radial point interpolation method and high-order continuation for solving nonlinear transient heat conduction problems

“…Based on the FEM, many applications of high-order continuation (HOC) coupled with homotopy transformation show the performance of this technique with respect to computation time, automatic adaptability of the step length, and the exactness of solutions in structural and fluid mechanics [16][17][18][19]. In addition, the meshless method such as MLS approximation is coupled with HOC for the resolution of dynamic or static nonlinear problems [20][21][22][23][24][25][26][27][28]. Meshless methods such as MLS approximation have some difficulties in the treatment of essential boundary conditions.…”