Browsing by Subject "Matrix decomposition"
Now showing items 19 of 9

Article
Conformal Mapping for the Efficient Solution of Poisson Problems with the KansaRBF Method
(2017)We consider the solution of Poisson Dirichlet problems in simplyconnected irregular domains. These domains are conformally mapped onto the unit disk and the resulting Poisson Dirichlet problems are solved efficiently using ...

Article
Efficient MFS algorithms for inhomogeneous polyharmonic problems
(2011)In this work we develop an efficient algorithm for the application of the method of fundamental solutions to inhomogeneous polyharmonic problems, that is problems governed by equations of the form Δ ℓ u=f, ℓ ε ℕ, in circular ...

Article
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 ...

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 DirichletNeumann boundary conditions, using second order finite difference schemes. The resulting linear systems ...

Article
KansaRBF algorithms for elliptic problems in axisymmetric domains
(2016)We employ a Kansaradial basis function method for the numerical solution of elliptic boundary value problems in threedimensional axisymmetric domains. We consider problems governed by the Poisson equation, the inhomogeneous ...

Conference Object
Matrix decomposition MFS algorithms
(2006)We describe the application of the Method of Fundamental Solutions (MFS) to elliptic boundary value problems in rotationally symmetric problems. In particular, we show how efficient matrix decomposition MFS algorithms can ...

Article
Matrix decomposition RBF algorithm for solving 3D elliptic problems
(2009)In this study, we propose an efficient algorithm for the evaluation of the particular solutions of threedimensional inhomogeneous elliptic partial differential equations using radial basis functions. The collocation points ...

Article
Optimal superconvergent one step nodal cubic spline collocation methods
(2006)We formulate new optimal (fourth) order one step nodal cubic spline collocation methods for the solution of various elliptic boundary value problems in the unit square. These methods are constructed so that the respective ...

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 threedimensional domains possessing radial symmetry. The appropriate ...