Solution Adapted Mesh Refinement and Sensitivity Analysis for Parabolic Partial Differential Equation Systems
نویسندگان
چکیده
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 of the computation. Methods for forward sensitivity analysis on the adaptive mesh are presented.
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