B‐spline bases for unequally smooth quadratic spline spaces on non‐uniform criss‐cross triangulations

In this paper, we investigate bivariate quadratic spline spaces on non‐uniform criss‐cross triangulations of a bounded domain with unequal smoothness across inner grid lines. We provide the dimension of the above spaces and we construct their local bases. Moreover, we propose a computational procedure to get such bases. Finally we introduce spline spaces with unequal smoothness also across oblique mesh segments.