Browsing by Subject "Poisson equation"
Now showing items 1-12 of 12
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Article
Computational sidechain placement and protein mutagenesis with implicit solvent models
(2007)Structure prediction and computational protein design should benefit from accurate solvent models. We have applied implicit solvent models to two problems that are central to this area. First, we performed sidechain placement ...
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Article
Conformal Mapping for the Efficient Solution of Poisson Problems with the Kansa-RBF Method
(2017)We consider the solution of Poisson Dirichlet problems in simply-connected irregular domains. These domains are conformally mapped onto the unit disk and the resulting Poisson Dirichlet problems are solved efficiently using ...
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Article
Conforming spectral methods for Poisson problems in cuboidal domains
(1994)A Chebyshev collocation strategy is introduced for the subdivision of cuboids into cuboidal subdomains (elements). These elements are conforming, which means that the approximation to the solution is C0 continuous at all ...
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Conference Object
Development of an efficient two-phase 3D numerical wave flume
(Society of Petroleum Engineers, 2017)In the present study an efficient two-phase 3D numerical wave flume was developed, tested and validated. The most important advantage over conventional numerical wave flumes is the use of a constant coefficient Poisson ...
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Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials
(2007)In this paper, we propose efficient algorithms for approximating particular solutions of second and fourth order elliptic equations. The approximation of the particular solution by a truncated series of Chebyshev polynomials ...
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Investigation of spin-polarized resonant tunneling through double-barrier magnetic tunnel junctions by self-consistent solution of the Poisson-Schrödinger equations
(2003)The article discusses the investigation of spin-polarized resonant tunneling through double barrier magnetic tunnel junctions (DBMTJ) by the self-consistent solution of Poissons and Schrödingers equations using transfer ...
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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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Conference Object
A Kansa-RBF method for Poisson problems in annular domains
(WITPress, 2014)We employ a Kansa-radial basis function (RBF) method for Poisson boundary value problems in annular domains. This discretization leads, for any choice of RBF, to linear system matrices possessing block circulant structures. ...
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Article
MHD flow past a circular cylinder using the immersed boundary method
(2010)The immersed boundary method (IB hereafter) is an efficient numerical methodology for treating purely hydrodynamic flows in geometrically complicated flow-domains. Recently Grigoriadis et als. [1] proposed an extension of ...
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Article
A nonoverlapping domain decomposition method for Legendre spectral collocation problems
(2007)We consider the Dirichlet boundary value problem for Poisson's equation in an L-shaped region or a rectangle with a cross-point. In both cases, we approximate the Dirichlet problem using Legendre spectral collocation, that ...
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Article
A spectral mortar element discretization of the Poisson equation with mixed boundary conditions
(2007)In this paper, we study a spectral mortar element discretization of the Poisson equation on a square subject to mixed boundary conditions of Dirichlet and Neumann type. We carry out the numerical analysis of the method and ...