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

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