Results 231 to 240 of about 51,079 (267)

Generalized HPC method for the Poisson equation

Journal of Computational Physics, 2015
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Andrea Bardazzi, Claudio Lugni, Matteo Antuono, Giorgio Graziani, Odd M. Faltinsen   +4 more
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The Poisson Equation

1992
In Section 3.1 the Poisson equation –Δu=f is introduced, and the uniqueness of the solution is proved. The Green function is defined in Section 3.2. It allows the representation (3.6) of the solution, provided it is existing. Concerning the existence, Theorem 3.13 contains a negative statement (cf.
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Laplace’s Equation and Poisson’s Equation

2003
In Chapter 3, it was noted that both gravitational and electrostatic potentials satisfy Laplace’s equation ▽2 = 0 in any region where the mass and charge densities vanish. In fact, the Laplacian operator ▽2 occurs naturally in many applications of mathematics, since it is intimately related to the total outflow rate from a region in which a flux vector
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Laplace equation and Poisson integral

Applied Mathematics and Computation, 2003
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An inequality Related to Poisson’s Equation

SIAM Journal on Mathematical Analysis, 1972
The inequality \[ \| u \|_{W_2^2 (\mathcal{R})} \leqq \left( {1 + \frac{1}{\lambda } + \frac{1}{{\lambda ^2 }}} \right)^{{1 / 2}} \| {\Delta u} \|_{L_2 (\mathcal{R})} ,\] for $u \in W_{2,0}^2 (\mathcal{R})$, is presented. The (n-dimensional) region $\mathcal{R}$ has a piecewise smooth boundary with nonnegative mean curvature, and $\lambda $ is the ...
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On the Solution of Poisson's Difference Equation

Journal of the ACM, 1958
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Analysis of the Fractional-Order Local Poisson Equation in Fractal Porous Media

Symmetry, 2022
Manal Alqhtani, Khaled M Saad, Rasool Shāh   +2 more
exaly  

Poisson Equation

2011
Sung-Min Hong, Anh-Tuan Pham, Christoph Jungemann   +2 more
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A novel lattice Boltzmann model for the Poisson equation

Applied Mathematical Modelling, 2008
Zhenhua Chai, Baochang Shi
exaly  

On the Poisson Equation and Diffusion Approximation. I

Annals of Probability, 2001
E Pardoux
exaly