An analysis of Dendy's piecewise polynomial Petrov-Galerkin method for a hyperbolic equation with stagnation points
A method of \textit{J. E. Dendy} [SIAM J. Numer. Anal. 11, 637-653 (1974; Zbl 0293.65077)] was shown by him, in the absence of stagnation points, to give optimal order error for a large class of piecewise polynomial trial spaces. This result is extended to the situation when stagnation points may be present. The analysis contains a result of interest in connection with numerical solution of singular two-point boundary value problems.
scientific article; zbMATH DE number 3860326
scientific article