Solution Adapted Mesh Refinement and Sensitivity Analysis for Parabolic Partial Differential Equation Systems ?

@inproceedings{Li2003SolutionAM,
title={Solution Adapted Mesh Refinement and Sensitivity Analysis for Parabolic Partial Differential Equation Systems ?},
author={Shengtai Li and Linda R. Petzold and James Mac Hyman},
year={2003}
}

We have developed a structured adaptive mesh refinement (SAMR) method for parabolic partial differential equation (PDE) systems. Solutions are calculated using the finite-difference or finite-volume method in space and backward differentiation formula (BDF) integration in time. The combination of SAMR in space and BDF in time is designed for problems where the fine-scale profile of sharp fronts in space should be resolved and implicit integration in time is necessary to improve the efficiency… CONTINUE READING