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Recently, a new stabilizer free weak Galerkin method (SFWG) is proposed,which is easier to implement. The idea is to raise the degree of polynomials jfor computing weak gradient. It is shown that if j>=j0 for some j0, then SFWGachieves the optimal rate of convergence. However, large j will cause somenumerical difficulties. To improve the efficiency of SFWG and avoid numericallocking, in this note, we provide the optimal j0 with rigorous mathematicalproof.

A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method