Zobrazeno 1 - 10
of 108 493
pro vyhledávání: '"Poisson equation"'
In this work, we demonstrate the equivalency of the Rotating Parallel Ray Omnidirectional Integration (RPR-ODI) and the Pressure Poisson Equation (PPE) for pressure field reconstruction from corrupted image velocimetry data. Building on the work by Z
Externí odkaz:
http://arxiv.org/abs/2411.02583
We consider the non-relativistic limit of general relativity coupled to a $(p+1)$-form gauge field and a scalar field in arbitrary dimensions and investigate under which conditions this gives rise to a Poisson equation for a Newton potential describi
Externí odkaz:
http://arxiv.org/abs/2410.00692
We study the asymptotic behavior of small data solutions to the screened Vlasov-Poisson equation on $\mathbb{R}^d\times\mathbb{R}^d$ near vacuum. We show that for dimensions $d\geq 2$, under mild assumptions on localization (in terms of spatial momen
Externí odkaz:
http://arxiv.org/abs/2410.17978
We introduce and analyse a class of weighted Sobolev spaces with mixed weights on angular domains. The weights are based on both the distance to the boundary and the distance to the one vertex of the domain. Moreover, we show how the regularity of th
Externí odkaz:
http://arxiv.org/abs/2409.18615
We introduce a novel TRUNC finite element in n dimensions, encompassing the traditional TRUNC triangle as a particular instance. By establishing the weak continuity identity, we identify it as crucial for error estimate. This element is utilized to a
Externí odkaz:
http://arxiv.org/abs/2409.00748
We study the 1D quantum many-body dynamics with a screened Coulomb potential in the mean-field setting. Combining the quantum mean-field, semiclassical, and Debye length limits, we prove the global derivation of the 1D Vlasov-Poisson equation. We tac
Externí odkaz:
http://arxiv.org/abs/2408.14767
In this paper we prove discrete to continuum convergence rates for Poisson Learning, a graph-based semi-supervised learning algorithm that is based on solving the graph Poisson equation with a source term consisting of a linear combination of Dirac d
Externí odkaz:
http://arxiv.org/abs/2407.06783
In this paper, we effectively solve the inverse source problem of the fractional Poisson equation using MC-fPINNs. We construct two neural networks $ u_{NN}(x;\theta )$ and $f_{NN}(x;\psi)$ to approximate the solution $u^{*}(x)$ and the forcing term
Externí odkaz:
http://arxiv.org/abs/2407.03801
Autor:
Das, Sandipan Kumar
Publikováno v:
International Journal of Numerical Methods for Heat & Fluid Flow, 2024, Vol. 34, Issue 10, pp. 3843-3881.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/HFF-04-2024-0251
