Abstract
We discuss the two main ingredients for the adaptive numerical solution of phase change problems, that is a posteriori error estimation and mesh modification in 2d and 3d via refinement and coarsening for unstructured tetrahedral meshes. We illustrate our adaptive algorithm with a number of numerical experiments.
Partially supported by NSF Grant DMS-9623394 and NSF SCREMS 9628467.
Partially supported by EU Grant HCM “Phase Transitions and Surface Tension”.
Partially supported by MURST and CNR Contract 95.00735.01
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Nochetto, R.H., Schmidt, A., Verdi, C. (1999). Adaptive Solution of Phase Change Problems Over Unstructured Tetrahedral Meshes. In: Bern, M.W., Flaherty, J.E., Luskin, M. (eds) Grid Generation and Adaptive Algorithms. The IMA Volumes in Mathematics and its Applications, vol 113. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1556-1_10
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DOI: https://doi.org/10.1007/978-1-4612-1556-1_10
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