The Poisson equation
On a generalization of the Dirichlet problem for the Poisson equation
... Abstract In this paper, we investigate a generalization of the Dirichlet problem for the Poisson equation in a rectangular domain. We assume that the kth-order normal derivatives of an unknown function are ...
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Compressed lattice sums arising from the Poisson equation
... In this study, we have obtained some explicit closed-form evaluations of certain summa- tions that arise as solutions of the Poisson equation, which in turn arises in numerous are- nas ranging from ...
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On solvability of a boundary value problem for the Poisson equation with the boundary operator of a fractional order
... Cite this article as: Torebek and Turmetov: On solvability of a boundary value problem for the Poisson equation with the boundary operator of a fractional order.[r] ...
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A quasi boundary value regularization method for identifying an unknown source in the Poisson equation
... Abstract In this paper, we consider the problem for identifying the unknown source in the Poisson equation in a half unbounded domain. A conditional stability result is given and a quasi-boundary value ...
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On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation
... Our main goal is to investigate the dependence of the optimal shape parameter ε opt on various factors such as the right hand side f of the Poisson equation, the domain, the density of the centres. The ...
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The Poisson equation in homogeneous Sobolev spaces
... We consider Poisson’s equation in an n -dimensional exterior domain G (n ≥ 2 ) with a suf- ficiently smooth boundary.. (1.1).[r] ...
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An accurate solution of the Poisson equation by the Legendre Tau method
... In this section, we give two experimental examples to show how Algorithm (3.1) works nicely Also, comparison of the results for the test problem u(x, y) sin(47rx)sin(47ry) with those com[r] ...
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Finite difference solution to the Poisson equation at an intersection of interfaces
... Poisson’s equation L(pu) = f on a polygonal domain Ω ∈ R 2 , which itself is composed of polygonal sub- domains Ω i , where L is the Laplacian operator and the coefficient p is piecewise constant, with value p i ...
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Identifying an unknown source in the Poisson equation by a wavelet dual least square method
... Abstract This paper deals with an inverse problem of identifying an unknown source which depends only on one variable in two-dimensional Poisson equation, with the aid of an extra measurement at an internal ...
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Features Extraction by using Poisson Equation
... the Poisson Equation can be obtained by various ...the Poisson equation obtained for the space-time shapes shown in High values of U are attained in the central part of the shape, whereas the ...
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Adaptive meshless centres and RBF stencils for Poisson equation
... the Poisson equation which covers finite differences, finite elements (when the use of numerical quadrature is taken into account) and the collocation type meshless ...
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Adaptive meshless centres and RBF stencils for Poisson equation
... locations of the singularities of the solution are known a priori, then meshless methods for the generation of well-distributed centres with respect to a given density distribution (see e.g. [22, 13, 28]) can be used. ...
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Poisson Equation Solver Parallelisation for Particle-in-Cell Model
... 2 Charles University, Faculty of Mathematics and Physics, Prague, Czech Republic. 3 CEA, IRFM, F-13108 Saint Paul Lez Durance, France. Abstract. Numerical simulations based on PIC technique like the SPICE2 model ...
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Formulation of Finite Element Method for 1D and 2D Poisson Equation
... To analyze frame structures, two classical beam theory are used, namely, Euler-Bernoulli theory and Timoshenko beam theory. The formulation of element stiffness and mass matrices using these two theories is based on FEM. ...
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A Simple Proof of Gustafsson’s Conjecture in Case of Poisson Equation on Rectangular Domains
... the Poisson equation with the Dirichlet boundary ...of Poisson equation on rectangular ...recursive equation in two dimensional grid nodes into a recursive one in the level that is ...
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Numerical solution of the 2D Poisson equation on an irregular domain with Robin boundary
... the Poisson equation is discretised at each grid ...dimensional Poisson solver cannot be built by repeated application in each dimension of the 1D solver, so that the predictive capability of the ...
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A GPU Parallel Finite Volume Method for a 3D Poisson Equation on Arbitrary Geometries
... 5 Conclusions In this paper, we have presented results for parallelized Jacobi iterations applied to solve a finite volume discretization of the Poisson equation. Such a method provides an attractive way to ...
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On a general filter regularization method for the 2D and 3D Poisson equation in physical geodesy
... Abstract In this paper, we consider a Cauchy problem for the Poisson equation with nonhomogeneous source. The problem is shown to be ill-posed as the solution exhibits unstable dependence on the given data ...
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Modified iterative method with red-black ordering for image composition using poisson equation
... Universiti Malaysia Sabah, Kota Kinabalu, Malaysia Email: [email protected] 1. INTRODUCTION The image composition process computes the image gradients of both source and target images to generate a new desirable image of ...
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Tree Network Formation in Poisson Equation Models and the Implications for the Maximum Entropy Production Principle
... the Poisson equation and the Finite Difference Method ...the Poisson eq- uation model that simulates the state far from equilibrium, and the other is the Laplace equation model that simulates ...
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