Variational Evolutionary Splines for Solving a Model of Temporomandibular Disorders

The aim of this work is to modelize the occlusion of a
person with temporomandibular disorders as an evolutionary equation
and approach its solution by the construction and characterizing
of discrete variational splines. To formulate the problem, certain
boundary conditions have been considered. After showing the
existence and the uniqueness of the solution of such a problem, a
convergence result of a discrete variational evolutionary spline is
shown. A stress analysis of the occlusion of a human jaw with
temporomandibular disorders by finite elements is carried out in
FreeFem++ in order to prove the validity of the presented method.

Authors:

• Alberto Hananel

Keywords:

• Approximation
• evolutionary PDE
• finite element method
• temporomandibular disorders
• variational spline.

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