We apply a combined finite-element finite-volume method on a noncoercive elliptic boundary value problem. The proposed method is based on triangulations of weakly acute type and a secondary circumcentric subdivision. The properties of the continuous problem, that the kernel is one-dimensional and spanned by a positive function, are preserved in the discrete case. A priori error estimates of first order in the H¹-norm are shown for sufficiently small mesh sizes. Numerical test examples confirm the theoretical predictions.
© Institute of Mathematics, NAS of Belarus