In this paper, we consider, in dimension d ≥ 2, the P1 finite elements approximation of the linear elliptic equation which generalizes Laplace’s equation. When the right-hand side belongs to L1(Ω), we prove that the unique solution of the discrete problem converges in L1(Ω) to the unique renormalized solution of the problem.

Isogeometric Analysis (IgA) is a recent technique for the discretization of Partial Dif- ferential Equations (PDEs). The main feature of the method is the ability to maintain the same exact description of the computational geometry domain throughout the analysis process, includ- ing refinement. In the present paper, we consider, in dimensi(...)