Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631556 | Applied Mathematics and Computation | 2011 | 13 Pages |
Abstract
In this paper, we consider the a posteriori error analysis of discontinuous Galerkin finite element methods for the steady and nonsteady first order hyperbolic problems with inflow boundary conditions. We establish several residual-based a posteriori error estimators which provide global upper bounds and a local lower bound on the error. Further, for nonsteady problem, we construct a fully discrete discontinuous finite element scheme and derive the a posteriori error estimators which yield global upper bound on the error in time and space. Our a posteriori error analysis is based on the mesh-dependent a priori estimates for the first order hyperbolic problems. These a posteriori error analysis results can be applied to develop the adaptive discontinuous finite element methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tie Zhang, Nan Feng,