Paper Info
Title
An ELLAM Scheme for Multidimensional Advection-Reaction Equations and Its Optimal-Order Error Estimate
Abstract
We present an Eulerian--Lagrangian localized adjoint method (ELLAM) scheme for initial-boundary value problems for advection-reaction partial differential equations in multiple space dimensions. The derived numerical scheme is not subject to the Courant--Friedrichs--Lewy condition and generates accurate numerical solutions even if large time steps are used. Moreover, the scheme naturally incorporates boundary conditions into its formulation without any artificial outflow boundary conditions needed, and it conserves mass. An optimal-order error estimate is proved for the scheme. Numerical experiments are performed to verify the theoretical estimate.
Year
DOI
Venue
2001
10.1137/S0036142999362389
SIAM Journal on Numerical Analysis
Keywords
Field
DocType
multidimensional advection-reaction equations,advection-reaction partial differential equation,accurate numerical solution,numerical experiment,boundary condition,artificial outflow boundary condition,lewy condition,ellam scheme,lagrangian localized adjoint method,theoretical estimate,numerical scheme,optimal-order error estimate,boundary value problem
Differential equation,Boundary value problem,Euler–Lagrange equation,Mathematical analysis,Sobolev space,Outflow boundary,Initial value problem,Partial differential equation,Mathematics,Domain decomposition methods
Journal
Volume
Issue
ISSN
38
6
0036-1429
Citations 
PageRank 
References 
3
0.62
0
Authors
3
Name
Order
Citations
PageRank
Hong Wang111724.13
Xiquan Shi29312.31
Richard E. Ewing325245.87