Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
499783 | Computer Methods in Applied Mechanics and Engineering | 2008 | 19 Pages |
Abstract
The paper introduces a methodology to compute upper and lower bounds for linear-functional outputs of the exact solutions of parabolic problems. In this second part, the bounds account for the error both in space and time. The assumption stating that the error introduced by the time marching scheme is negligible, used in the first part, is removed here. The bounds are computed starting from an approximation of the exact solution, associated with a spatial mesh and a time grid. Nevertheless, the bounds are guaranteed with respect to the exact solution, with no reference to any mesh or time discretization.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Núria Parés, Pedro Díez, Antonio Huerta,