Browsing by Subject "Poisson equation"
Now showing items 112 of 12

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 ...

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
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 ...

Conference Object
Development of an efficient twophase 3D numerical wave flume
(Society of Petroleum Engineers, 2017)In the present study an efficient twophase 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 ...

Article
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 ...

Article
Investigation of spinpolarized resonant tunneling through doublebarrier magnetic tunnel junctions by selfconsistent solution of the PoissonSchrödinger equations
(2003)The article discusses the investigation of spinpolarized resonant tunneling through double barrier magnetic tunnel junctions (DBMTJ) by the selfconsistent solution of Poissons and Schrödingers equations using transfer ...

Article
A KansaRadial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains
(2015)We employ a Kansaradial 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 ...

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
A KansaRBF method for Poisson problems in annular domains
(WITPress, 2014)We employ a Kansaradial 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. ...

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 flowdomains. Recently Grigoriadis et als. [1] proposed an extension of ...

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 Lshaped region or a rectangle with a crosspoint. In both cases, we approximate the Dirichlet problem using Legendre spectral collocation, that ...

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 ...