An IRBFN-based Cartesian-grid collocation technique
A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems
... The robustness of the proposed method in the incompressible limit is also examined. The cantilever beam problem is analyzed with different values of Poisson ratio: µ = 0.499, µ = 0.49999, and µ = 0.5. Our numerical ...
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A Cartesian-grid integrated-RBF Galerkin technique
... Galerkin technique, which is based on indirect/integrated radial-basis-function networks (IRBFNs) and Cartesian grids, for the discretisation of elliptic problems in two ...present technique ...
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A Cartesian-grid collocation method based on radial-basis-function networks for solving PDEs in irregular domains
... a Cartesian grid. Generating a Cartesian grid is a straightforward task, and hence the computational costs associated with mesh generation are greatly ...most Cartesian-grid ...
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A Cartesian grid technique based on one-dimensional integrated radial basis function networks for natural convection in concentric annuli
... 1D-IRBFN-based Cartesian grid technique to the simula- tion of buoyancy-driven flow defined in a multiply-connected domain and governed by a set of nonlinear ...differential-quadrature ...
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A Cartesian grid technique based on one-dimensional integrated radial basis function networks for natural convection in concentric annuli
... present technique solves the governing equations in the Cartesian coordinate system and therefore does not require any extra work when changing the shape of the domain ...
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A simple and effective preconditioner for integrated-RBF-based Cartesian-grid schemes
... Mai-Duy and Tanner (2005); Mai-Duy and Tran-Cong (2006)]. IRBFN-based methods were shown to work well with both scattered and gridded data points. This paper is concerned with a preconditioning scheme ...
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An integral-collocation-based fictitious-domain technique for solving elliptic problems
... the grid points along horizontal lines can be computed in a similar ...a grid point are expressed in terms of the nodal values of u along the grid lines that goes through that ...the grid used ...
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A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis
... analysis based on the 1D-IRBFN and LMLS-1D- IRBF methods is devised and demonstrated with the analysis of the flow inside a lid-driven open-cavity with a flexible bottom ...subiterative technique is ...
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A cartesian-grid integrated-RBF method for viscoelastic flows
... 1D-RBFN technique In the present technique, point collocation is applied to reduce the PDEs to sets of algebraic ...here. IRBFN expressions on the x and y grid lines have similar ...x ...
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A Cartesian-grid discretisation scheme based on local integrated RBFNs for two-dimensional elliptic problems
... For the point-collocation formulation, there are no integrations required for the discretisation. The process of converting the PDE into a set of algebraic equations is straightforward. For the control-volume ...
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A Cartesian-grid discretisation scheme based on local integrated RBFNs for two-dimensional elliptic problems
... For the point-collocation formulation, there are no integrations required for the discretisation. The process of converting the PDE into a set of algebraic equations is straightforward. For the control-volume ...
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A spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains
... integral collocation approach based on Chebyshev poly- nomials for numerically solving biharmonic equations [Mai-Duy and Tanner, Journal of Computational and Applied Mathematics , 201(1) (2007) 30–47] is ...
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On the effect of the contact surface definition in the Cartesian grid finite element method
... In order to solve the contact problem with cgFEM we use a stabilized Lagrangian formu- lation first presented in [7]. The method has similarities with Nitsche-based formulations proposed in [8–11] with a relevant ...
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Local moving least square - one-dimensional IRBFN technique: part 11 - unsteady incompressible viscous flows
... procedure based on the local MLS-1D-IRBFN method is pre- sented for time-dependent ...condition. Cartesian grids are employed to discretise both regular and irregular problem ...decomposition ...
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A moving IRBFN-based Galerkin meshless method
... method based on the MIRBFN interpolation and Galerkin method for solving ...MLS technique with ‘local’ IRBFN method, the computational cost of the present Moving IRBFN approach is much better ...
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Advancements in Cartesian grid methods for computational ship hydrodynamics
... particular, Cartesian-grid techniques such as volume-of-fluid and immersed boundary methods expedite computational simulations of unsteady breaking wave flows around complicated ship ...for ...
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A moving IRBFN-based integration-free meshless method
... supported IRBFN is coupled with the moving least square (MLS) approximants via the PU concept to formulate a locally supported MIRBFN interpolation ...the collocation of a first-order sys- tem formulation, ...
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Structural and statistical properties of the collocation technique for error characterization
... It was noted in Sect. 1 that different ways of obtaining estimates of the calibration constants have been proposed, e.g. an iterative scheme based on error-in-variables regres- sion (Scipal et al., 2008) or the ...
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The Measurement of the Oxygen Consumption of Daphnia by a Modification of the Cartesian Diver Technique
... In this case there was no sodium hydroxide solution in the central cup, so that the carbon dioxide evolved caused a change in the flotation pressure of the diver.. From this the amount o[r] ...
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A Non-uniform Staggered Cartesian Grid Approach for Lattice-boltzmann Method
... SuperMUC based in Germany at The High Perfor- mance Computing Center Stuttgart (HLRS) and Leibniz Supercomputing Center (LRZ), and from the Swedish National Infrastructure for Computing (SNIC) at ...
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