Numerical analysis of a contact problem including bone remodeling

DOI10.1016/j.cam.2009.11.047zbMath1350.74014OpenAlexW2083446947MaRDI QIDQ629407

Rebeca Martínez, José R. Fernández

Publication date: 9 March 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.047

zbMATH Keywords

error estimatesnumerical simulationsnormal compliancebone remodelingfully discrete approximations

Mathematics Subject Classification ID

Cites Work

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• A convergence result in the study of bone remodeling contact problems
• Frictional contact problems with normal compliance
• Bone remodelling. I: Theory of adaptive elasticity
• Bone remodeling. II: Small strain adaptive elasticity
• Necessary and sufficient conditions for global stability and uniqueness in finite element simulations of adaptive bone remodeling
• A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics
• Analysis of a bone remodeling model
• Discrete maximum principle for finite-difference operators
• Approximation of bone remodeling models
• Existence and Uniqueness of a Solution to an Adaptive Elasticity Model

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