Document Type
Article
Subject Area(s)
Mathematics
Abstract
An Eulerian-Lagrangian localized adjoint method (ELLAM) is presented and an- alyzed for two-dimensional linear advection-diffusion partial differential equations (PDEs). An optimal-order error estimate in the L^2 norm and a superconvergence estimate in a discrete H^1 norm are derived. Numerical experiments are performed to verify the theoretical estimates.
Publication Info
Published in Siam Journal of Numerical Analysis, Volume 37, Issue 4, 2000, pages 1338-1368.
© SIAM Journal On Numerical Analysis 2000, Society for Industrial and Applied Mathematics
Wang, H. (2000). An Optimal-Order Error Estimate for an ELLAM Scheme for Two-Dimensional Linear Advection-Diffusion Equations. SIAM Journal On Numerical Analysis, 37(4), 1338-1368. doi: 10.1137/s0036142998335686