Browsing by Subject "Navier equations"
Now showing items 1-5 of 5
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Finite Difference Schemes for the Cauchy–Navier Equations of Elasticity with Variable Coefficients
(2015)We solve the variable coefficient Cauchy–Navier equations of elasticity in the unit square, for Dirichlet and Dirichlet-Neumann boundary conditions, using second order finite difference schemes. The resulting linear systems ...
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Article
A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains
(2015)We employ a Kansa-radial basis function (RBF) method for the numerical solution of elliptic boundary value problems in annular domains. This discretization leads, with an appropriate selection of collocation points and for ...
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Kansa-RBF algorithms for elliptic problems in axisymmetric domains
(2016)We employ a Kansa-radial basis function method for the numerical solution of elliptic boundary value problems in three-dimensional axisymmetric domains. We consider problems governed by the Poisson equation, the inhomogeneous ...
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Article
The method of fundamental solutions for three-dimensional inverse geometric elasticity problems
(2016)We investigate the numerical reconstruction of smooth star-shaped voids (rigid inclusions and cavities) which are compactly contained in a three-dimensional isotropic linear elastic medium from a single set of Cauchy data ...
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The method of fundamental solutions in Three-dimensional Elastostatics
(2002)We consider the application of the Method of Fundamental Solutions (MFS) to isotropic elastostatics problems in three-space dimensions. The displacements are approximated by linear combinations of the fundamental solutions ...