Reduced Numerical Approximation of Reduced Fluid-Structure Interaction Problems With Applications in Hemodynamics

This paper deals with fast simulations of the hemodynamics in large arteries by considering a reduced model of the associated fluid-structure interaction problem, which in turn allows an additional reduction in terms of the numerical discretisation.The resulting method is both accurate and computationally cheap.This goal is achieved by means of two

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Interval arithmetic in calculations

Interval arithmetic is the mathematical structure, which for real intervals defines operations analogous to ordinary arithmetic ones.This field of mathematics is also called interval analysis or interval calculations.The given math model is convenient for investigating various applied objects: the quantities, the approximate values of which are kno

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Debulking of the Femoral Stem in a Primary Total Hip Joint Replacement: A Novel Method to Reduce Stress Shielding

In current-generation designs of total primary hip joint replacement, the prostheses are fabricated from alloys.The modulus of elasticity of the alloy is substantially higher than that of the surrounding bone.This discrepancy plays a role in a phenomenon known as stress shielding, in which the bone bears a reduced proportion of the applied load.Str

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