Browsing by Subject "Matrix decomposition algorithm"
Now showing items 1-7 of 7
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Efficient MFS algorithms for problems in thermoelasticity
(2013)We propose efficient fast Fourier transform (FFT)-based algorithms using the method of fundamental solutions (MFS) for the numerical solution of certain problems in planar thermoelasticity. In particular, we consider ...
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Article
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 Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients
(2017)We solve the Dirichlet and mixed Dirichlet-Neumann boundary value problems for the variable coefficient Cauchy-Navier equations of elasticity in a square using a Legendre spectral Galerkin method. The resulting linear ...
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A matrix decomposition MFS algorithm for axisymmetric potential problems
(2004)The method of fundamental solutions is a boundary-type meshless method for the solution of certain elliptic boundary value problems. By exploiting the structure of the matrices appearing when this method is applied to ...
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A matrix decomposition MFS algorithm for certain linear elasticity problems
(2006)We propose an efficient matrix decomposition Method of Fundamental Solutions algorithm for the solution of certain two-dimensional linear elasticity problems. In particular, we consider the solution of the Cauchy-Navier ...
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Article
Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations
(2013)We formulate a fourth order modified nodal cubic spline collocation scheme for variable coefficient second order partial differential equations in the unit cube subject to nonzero Dirichlet boundary conditions. The approximate ...
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Article
The plane waves method for axisymmetric Helmholtz problems
(2016)The plane waves method is employed for the solution of Dirichlet and Neumann boundary value problems for the homogeneous Helmholtz equation in two- and three-dimensional domains possessing radial symmetry. The appropriate ...