About
37
Publications
2,095
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
121
Citations
Citations since 2017
Publications
Publications (37)
In mathematical finance, a process of calibrating stochastic volatility (SV) option pricing models to real market data involves a numerical calculation of integrals that depend on several model parameters. This optimization task consists of large number of integral evaluations with high precision and low computational time requirements. However, fo...
In mathematical finance, a process of calibrating stochastic volatility (SV) option pricing models to real market data involves a numerical calculation of integrals that depend on several model parameters. This optimization task consists of large number of integral evaluations with high precision and low computational time requirements. However, fo...
The temporomandibular joint (TMJ) is one of the most complicated joints of the human skeleton. It is a complex, sensitive and highly mobile joint which works bilaterally so each side influences the contralateral joint and because of this the distribution of the stresses is changed in the healthy joint as well. Detailed knowledge about function thes...
The aim of this article is 3D analysis of the temporomandibular joint (TMJ) patient, who underwent surgery, during which the right TMJ was resected along with the ramus of mandible and consequently the joint was reconstructed with subtotal replacement. The main goal is to give a suitable formulation of mathematical model, which describes the change...
The aim of the paper is a stress-strain analysis of the temporomandibular joint (TMJ) with subtotal replacement. The temporomandibular joint is a complex, sensitive and highly mobile joint which works bilaterally so each side influences the contralateral joint and because of this the distribution of the stresses is changed in the healthy joint as w...
Cutting-edge solutions to current problems in orthopedics, supported by modeling and numerical analysis. Despite the current successful methods and achievements of good joint implantations, it is essential to further optimize the shape of implants so they may better resist extreme long-term mechanical demands. This book provides the orthopedic, bio...
IntroductionMathematical Models of Human Joints and of Their Total Replacements as Well as of Parts of the Human BodyMathematical Models of Human Body Parts and Human Joints and Their Total Replacements Based on the Boundary Value Problems in (Thermo)elasticityBiomechanical Model of a Long BoneMathematical Model of a Loaded Long Bone Based on Compo...
Introduction to History of Biomechanics and AlloarthroplastyBiomechanics of Human Joints and Tissues
IntroductionFundamentals of Continuum MechanicsBackground of the Static and Dynamic Continuum Mechanics in Different RheologiesBackground of the Quasi-Static and Dynamic Continuum Mechanics in Thermo(visco)elastic Rheology
View of Arthroplasty DevelopmentsStatic and Dynamic Loading of Human Joint ReplacementsMechanical Destruction of Implants and Demands on Human Joint ArthroplastyBiomaterials in Ostheosynthesis and AlloarthroplastyArtificial Joint Replacements
Anatomy of the Skeletal SystemHuman Joints and Their FunctionsTribology of Human JointsBiomechanics of the Skeletal System
Background of Functional Analysis, Function Spaces, and Variational InequalitiesVariational Equations and Inequalities and Their Numerical ApproximationsBiomechanical Models of Human Joints and Their Total ReplacementsStress–Strain Analysis of Total Human Joint Replacements in Linear, Nonlinear, Elasticity, and Thermoelasticity: Static Cases, Finit...
Half TitleWiley Series PageTitleCopyrightDedicationContentsPrefaceAcknowledgments
Introduction to the Biomechanics of Statically Loaded and of Moving Loaded Human BodyBone Remodeling and the Corresponding Mathematical ModelBiomechanical Studies of Cysts, Osteophytes, and of Inter- and Subtrochanteric Osteotomy of the Femur and the Knee JointBiomechanical Analysis of the Loosened Total Hip Arthroplasty (THA)Biomechanical Analysis...
This contribution deals with the 3D analysis of the temporomandibular joint. The main goal is to give the suitable formulation
of mathematical model describing with sufficiently accuracy the TMJ and its function. The model is based on the theory of
semi-coercive contact problems in linear elasticity, which leads to solving the variational inequalit...
Detailed knowledge about the function and morphology of temporomandibular joint are necessary for clinical applications and for analyses of the function of temporomandibular joint prosthesis. Movements of temporomandibular joint are biomechanically sophisticated and are up-to-date not clear. Therefore, the aim of the paper is to give the suitable m...
The paper deals with numerical analysis of a class of multibody dynamic unilateral contact problems. The presented problem
describes the seismological model problem, representing a new approach in this branch and of studying propagation of seismic
waves through broken up upper parts of the Earth. The semi-implicit finite element and the primal-dual...
In the contribution a weight-bearing total knee joint replacement will be based on numerical results on a non-linear contact problem with Coulombian friction in elasticity. The non-overlapping domain decomposition algorithm will be used. The main goal of the contribution represents an application of mathematical modelling and obtained numerical res...
In geomechanics, there are problems whose investigations lead to solving model problems based on variational formulations. Such problems are frequently formulated by variational inequalities as they physically describe the principle of virtual work in its inequality form. In the first part of the contribution, the algorithm for the numerical soluti...
A non-overlapping domain decomposition is applied to a multibody unilateral contact problem with given friction (Tresca’s model). Approximations are proposed on the basis of the primary variational formulation (in terms of displacements) and linear finite elements. For the discretized problem we employ the concept of local Schur complements, groupi...
The paper deals with the stress/strain analysis of an artificial knee joint. Three cases, where femoral part of the knee joint
part is cut across under 3, 5 and 7 degrees, are analysed. Finite element method and the nonoverlapping decomposition technique
for the contact problem in elasticity are applied. Numerical experiments are presented and disc...
The contribution deals with mathematical simulations of total joint replacements, simulations of mechanical processes taking
place during static loadening and their mathematical description. The nonoverlapping decomposition method for unilateral contact
problem and the finite element approach are used. Numerical experiments are presented.
A non-overlapping domain decomposition algorithm of Neumann-Neumann type for solving variational inequalities arising from the elliptic boundary value problems in two dimensions with unilateral boundary condition is presented. We suppose that boundary with inequality condition is 'relatively' small. First, the linear auxiliary problem, where the in...
A nonoverlapping domain decomposition algorithm of Neumann-Neumann type for solving variational inequalities arising from
the elliptic boundary value problems in two dimensions with unilateral boundary condition is presented. First, the linear
auxiliary problem, where the inequality condition is replaced by the equality condition, is solved. In the...
The algorithm for generating a representation of the 2D fractal is deceptively simple. A repeating calculation is performed for each x,y point in the plot area and based on the behaviour of that calculation, a colour is chosen for pixel representing selected point. The same way is used for generating multi-dimensional fractals, in our case 4D fract...
We consider the total knee replacement by MEDIN Orthopaedics company in the paper. The geometry is given by the manufacture's CAD data. The problem is modelled as a contact problem in linear elasticity. The numerical simulation is performed: the replacement is subjected to the load simulating the conditions in the human body; the resulting stress d...
The report deals with the mathematical and numerical analysis of a loaded human tibia filled by the marrow tissue. The stress distribution in the marrow is focused. Two different rheological approaches were chosen. The elastic and viscoplastic models are formulated and shortly discussed. The numerical results refer to the elastic case with Coulomb'...
In geomechanics and biomechanics there are problems whose investigations lead to solving model problems based on variational formulations. Such problems are frequently formulated by variational inequalities as they physically describe the principle of virtual work in its inequality form. This report is devoted to solution variational problems by us...
The contribution deals with mathematical modelling of human limb and numer-ical simulation of mechanical processes taking place during static loadening. It is important to know stress and deformation distributions in lower limb for ex-ample for application of the total knee or the total hip replacements. A two dimensional finite element approximati...
1),(4) , J. Stehlík (2) , P. Vavřík (3) , J. Nedoma (4) , I. Hlaváček (4),(5) , F. Denk (6) (1) Centre of Applied Mathematics, University of West Bohemia, Univerzitní 22, 306 14 Pilsen, Czech Republic (2) Orthopaedic and Traumatology Department, The Hospita Ceské Budějovice, B. Němcová Str. 585/54, 370 0 Ceské Budějovice, Czech Republic (3) 1st Ort...
