Abstract
We define a combined edge FV-FE scheme for a bone healing model. This choice of discretization allows to take into account anisotropic diffusions and does not impose any restrictions on the mesh. Moreover, following [3], we propose a nonlinear correction to obtain a monotone scheme. We present some numerical experiments which show its good behavior.
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Acknowledgments
M. B.-C. is supported by the ANR project GEONUM (ANR-12-IS01-0004-01).
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Bessemoulin-Chatard, M., Saad, M. (2014). Monotone Combined Finite Volume-Finite Element Scheme for a Bone Healing Model. In: Fuhrmann, J., Ohlberger, M., Rohde, C. (eds) Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems. Springer Proceedings in Mathematics & Statistics, vol 78. Springer, Cham. https://doi.org/10.1007/978-3-319-05591-6_49
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DOI: https://doi.org/10.1007/978-3-319-05591-6_49
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