Isogeometric local h-refinement strategy based on multigrids

•An isogeometric local h-refinement based on multigrid resolution is proposed.•It leads to a solution on a quasi-optimal mesh for a given precision criterion.•It solves the problem of non-straight boundaries in multigrid resolution with FEA.

This paper presents an isogeometric local h-refinement algorithm based on localized multigrid resolution dedicated to computational mechanics. This algorithm leads to a solution on a quasi-optimal refined mesh initially unknown for a given precision criterion. Moreover, it allows us to circumvent the obstacle of refinement of non-straight geometric boundaries existing in full multigrid algorithms with isoparametric finite element analysis.