Numerical method for the bone regeneration model, defined within the evolving 2D axisymmetric physical domain
DOI10.1016/J.CMA.2012.09.017zbMath1297.74136OpenAlexW2028693728MaRDI QIDQ465780
Fred J. Vermolen, Pavel A. Prokharau, José Manuel García-Aznar
Publication date: 24 October 2014
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2012.09.017
finite volume methodmethod of linesmoving boundarylevel set methodbone regenerationembedded boundaryadvection-diffusion-reaction systemdistance and contact osteogenesis
Medical applications (general) (92C50) Biomechanical solid mechanics (74L15) Finite volume methods applied to problems in solid mechanics (74S10) Moving boundary problems for PDEs (35R37) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical analysis of a strain-adaptive bone remodelling problem
- A mathematical analysis of physiological and morphological aspects of wound closure
- An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies
- Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
- Bone ingrowth on the surface of endosseous implants. I: Mathematical model
- Model for direct bone apposition on pre-existing surfaces, during peri-implant osseointegration
- Spaces of weighted measures for conservation laws with singular shock solutions
- Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method
- A Cartesian grid embedded boundary method for hyperbolic conservation laws
- Finite Volume Methods for Hyperbolic Problems
- Delta-waves for Semilinear Hyperbolic Cauchy Problems
This page was built for publication: Numerical method for the bone regeneration model, defined within the evolving 2D axisymmetric physical domain
