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ANALYSIS OF THE DPG METHOD FOR THE POISSON EQUATION
, 2010
"... Abstract. We give an error analysis of the recently developed DPG method applied to solve the Poisson equation and a convectiondiffusion problem. We prove that the method is quasioptimal. Error estimates in terms of both the mesh size h and the polynomial degree p (for various element shapes) can b ..."
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Cited by 15 (7 self)
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Abstract. We give an error analysis of the recently developed DPG method applied to solve the Poisson equation and a convectiondiffusion problem. We prove that the method is quasioptimal. Error estimates in terms of both the mesh size h and the polynomial degree p (for various element shapes) can
ON THE POISSON EQUATION AND DIFFUSION APPROXIMATION 3
, 2005
"... We study the Poisson equation Lu + f = 0 in R d, where L is the infinitesimal generator of a diffusion process. In this paper, we allow the secondorder part of the generator L to be degenerate, provided a local condition of Doeblin type is satisfied, so that, if we also assume a condition on the dr ..."
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Cited by 2 (0 self)
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We study the Poisson equation Lu + f = 0 in R d, where L is the infinitesimal generator of a diffusion process. In this paper, we allow the secondorder part of the generator L to be degenerate, provided a local condition of Doeblin type is satisfied, so that, if we also assume a condition
On Additive and Multiplicative (Controlled) Poisson Equations
"... Assuming that the Markov processes satisfy minorization property existence and properties of the solutions to additive and multiplicative Poisson equations are studied using splitting techniques. The problem is then extended to study risk sensitive and risk neutral control problems and corresponding ..."
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Assuming that the Markov processes satisfy minorization property existence and properties of the solutions to additive and multiplicative Poisson equations are studied using splitting techniques. The problem is then extended to study risk sensitive and risk neutral control problems
Solving Poisson Equation by Genetic Algorithms
"... This paper deals with a method for solving Poisson Equation (PE) based on genetic algorithms and grammatical evolution. The method forms generations of solutions expressed in an analytical form. Several examples of PE are tested and in most cases the exact solution is recovered. But, when the soluti ..."
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This paper deals with a method for solving Poisson Equation (PE) based on genetic algorithms and grammatical evolution. The method forms generations of solutions expressed in an analytical form. Several examples of PE are tested and in most cases the exact solution is recovered. But, when
Massively Parallel Solution of Poisson Equation
"... this paper a algorithm, designated Fast Invariant for solution of Poisson on massively parallel MIMD is This algorithm the same computational ot Fast Solvers while much bet t st vector parallel Our the Delta and shows a of over two magnitude be even for size problems, a x x a of 340 been by Wor ..."
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by Words: Poisson Equation, Poisson Fast A Algorithms, Parallel Architectures. Introduction solution of Poisson equation is at the heart of many scientific applications. Most applications repeated of same with different different forcing terms, resulting in computation time [1,2]. arc the time
Solution of the WignerPoisson Equations for RTDs
"... We will discuss a parametric study of the solution of the WignerPoisson equations for resonant tunneling diodes. These structures exhibit selfsustaining oscillations in certain operating regimes. We show numerically that the phenomenon corresponds to a Hopf bifurcation, using the bias across the d ..."
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We will discuss a parametric study of the solution of the WignerPoisson equations for resonant tunneling diodes. These structures exhibit selfsustaining oscillations in certain operating regimes. We show numerically that the phenomenon corresponds to a Hopf bifurcation, using the bias across
The Poisson Equation with Local Nonregular Similarities
, 2000
"... Moffatt and Duffy [1] have shown that the solution to the Poisson equation, defined on rectangular domains, includes a local similarity term of the form: r 2 log(r)cos(2θ). The latter means that the second (and higher) derivative of the solution with respect to r is singular at r =0. Standard higho ..."
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Moffatt and Duffy [1] have shown that the solution to the Poisson equation, defined on rectangular domains, includes a local similarity term of the form: r 2 log(r)cos(2θ). The latter means that the second (and higher) derivative of the solution with respect to r is singular at r =0. Standard high
Tsallis Entropy and the VlasovPoisson Equations
, 1998
"... We revisit Tsallis Maximum Entropy Solutions to the VlasovPoisson Equation describing gravitational Nbody systems. We review their main characteristics and discuss their relationship with other applications of Tsallis statistics to systems with long range interactions. In the following considera ..."
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We revisit Tsallis Maximum Entropy Solutions to the VlasovPoisson Equation describing gravitational Nbody systems. We review their main characteristics and discuss their relationship with other applications of Tsallis statistics to systems with long range interactions. In the following con
SOLVING THE POISSON EQUATION ON THE FPS164
"... n. Itroduction The architectural differences between a serial and a parallel machine raise a number of questions regarding the efficiency of established algorithms. ( inhis paper we exploremeral algorithms which solve the Poisson equation on rectangular regions in two dimensions. The solution of th ..."
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n. Itroduction The architectural differences between a serial and a parallel machine raise a number of questions regarding the efficiency of established algorithms. ( inhis paper we exploremeral algorithms which solve the Poisson equation on rectangular regions in two dimensions. The solution
EulerPoisson Equations of Gaseous Stars in R N
, 906
"... This article is the continued version of the analytical blowup solutions for 2dimensional EulerPoisson equations in [10] and [11]. With the extension of the blowup solutions with radial symmetry for the isothermal EulerPoisson equations in R 2, other special blowup solutions in R N with nonradia ..."
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This article is the continued version of the analytical blowup solutions for 2dimensional EulerPoisson equations in [10] and [11]. With the extension of the blowup solutions with radial symmetry for the isothermal EulerPoisson equations in R 2, other special blowup solutions in R N with non
Results 11  20
of
4,263