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242 417 (0,392s)

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Application of Domain Decomposition Method to Problems in Biomechanics

The paper presents some recent results on mathematical simulations of knee joint and total knee joint replacement, simulations of mechanical processes taking place during static loadening and their mathematical description. The nonoverlapping

BA - Obecná matematika

  • 2005
  • D
Result

Domain decomposition algorithm for solving contact of elastic bodies

A nonoverlapping domain decomposition algorithm for solving variational inequalities arising from the elliptic boundary value problems in two dimensions with unilateral boundary condition is presented....

BA - Obecná matematika

  • 2002
  • D
Result

Some recent results on a domain decomposition method in biomechanics of human joints

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 meth...

BA - Obecná matematika

  • 2003
  • D
Result

Numerical analysis of the weight-bearing total knee joint replacement. Realization in practice - WALTER UNIVERSAL (WU) and WALTER MODULAR (WM)

In the contribution a weight-bearing total knee joint replacement will be based on numerical results on a nonlinear contact problem with Coulombian friction in elasticity. The nonoverlapping domain decomposition algorithm w...

BA - Obecná matematika

  • 2005
  • D
Result

DP-FETI in Structural Mechanics

DP-FETI is domain decomposition method of nonoverlapping type and it is combination of the Schur complement method and the FETI method. The DP-FETI takes advantages of its both components. There a...

JM - Inženýrské stavitelství

  • 2003
  • C
Result

On the stress-strain analysis of the knee replacement

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 <...

BA - Obecná matematika

  • 2004
  • D
Result

Coupling parallel adaptive mesh refinement with a nonoverlapping domain decomposition solver

nodes. Two and three-level versions of the Balancing Domain Decomposition based on Constraints (BDDC) method are used to solve the arising system of algebraic equationsWe study the effect of adaptive mesh refinement on a p...

Applied mathematics

  • 2017
  • Jimp
  • Link
Result

Parallel implementation of the FETI DDM constraint matrix on top of PETSc for the permonFLLOP package

This paper deals with implementation of the FETI nonoverlapping domain decomposition method within our new software toolbox PERMON, combining quadratic programming algorithms and domain decomposition

Pure mathematics

  • 2016
  • D
  • Link
Result

Stress-strain distribution in the knee joint after the implantation of total replacement in a connection on the axial deviations

The purpose of the presented study will be to determine current mechanisms of mechanical failure of total knee arthroplasties. One of this mechanism can depend on the unwell situated mechanical axis. In the contribution the analyses of a weight-beari...

BA - Obecná matematika

  • 2004
  • D
Result

Domain decomposition methods coupled with parareal for the transient heat equation in 1 and 2 spatial dimensions

time slice a pseudostationary elliptic heat equation is solved by means of a domain decomposition method (DDM). In the 2d, case we employ a nonoverlapping Schur complement conforming finite element method...

Applied mathematics

  • 2020
  • Jimp
  • Link
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