A stabilizer free weak Galerkin (WG) finite element method on polytopal mesh has been introduced in Part I of this paper (Ye and Zhang (2020)). Removing stabilizers from discontinuous methods simplifies formulations reduces programming complexity. The purpose is to introduce a new WG without that convergence rates one order higher than optimal rates. This the first achieves superconvergence mes...

Abstract Background The association of advanced digital image correlation (DIC) and numerical simulation has been widely used for inverse parameter identification. Objective It is attractive to develop an accurate DIC method sharing the common features with simulation, which can lead better synergy between experiments simulations. Methods A new meshfree (MF-DIC) using element free Galerkin (EFG...

A weak Galerkin (WG) finite element method without stabilizers was introduced in Ye and Zhang (2020) on polytopal mesh. Then it improved (2021) with order one superconvergence. The goal of this paper is to develop a new stabilizer free WG This has convergence rates two orders higher than the optimal for corresponding solution both an energy norm L2 norm. numerical examples are tested low high e...

In this paper, we considered the improved element-free Galerkin (IEFG) method for solving 2D anisotropic steady-state heat conduction problems. The moving least-squares (IMLS) approximation is used to establish trial function, and penalty applied enforce boundary conditions, thus final discretized equations of IEFG problems can be obtained by combining with corresponding weak form. influences n...