Collocation methods: More efficient procedures for applying collocation
Advances in Engineering Software
| Hi-index | 0.00 |
Existence, uniqueness, and optimal order H2, H1, and L2 error bounds are established for the orthogonal spline collocation solution of a Dirichlet boundary value problem on the unit square. The linear, elliptic, nonself-adjoint, partial differential equation is given in nondivergence form. The approximate solution, which is a tensor product of continuously differentiable piecewise polynomials of degree $r\geq 3$, is determined by satisfying the partial differential equation at the nodes of a composite Gauss quadrature.