A multi-point constraint unfitted finite element method

Abstract In this work a multi-point constraint unfitted finite element method for the solution of Poisson equation is presented. Key features approach are strong enforcement essential boundary, and interface conditions. This, along with stability method, achieved through use constraints that applied to so-called ghost nodes lie outside physical domain. Another key benefit lies in fact that, as degrees freedom associated constrained, they can be removed from system equations. This enables capture both weak discontinuities no additional freedom. addition, does not require penalty parameters using only standard basis functions. Finally, numerical results show converges optimally mesh refinement remains well conditioned.