Two Methods of Galerkin Type Achieving Optimum $L^2 $ Rates of Convergence for First Order Hyperbolics
Joel E. Dendy · SIAM Journal on Numerical Analysis · 1974
It has been shown that the usual Galerkin procedure applied to first order hyperbolic equations does not yield the optimum $L^2 $ rate of convergence for all admissible finite-dimensional subspaces. Two methods are presented which overcome this difficulty.