On the Numerical Solution of the Poisson Equation in the Smoothed Particle Hydrodynamics
ABSTRACT In the present work, we address some aspects related to the numerical solution of the Poisson equation within the framework of the Smoothed Particle Hydrodynamics (SPH). In this case, the Poisson equation is solved using nonlocal, kernel‐based discretizations of the differential operators (i.e., gradient, divergence, and Laplacian operators ...
Matteo Antuono +2 more
wiley +1 more source
On trilinear singular Brascamp–Lieb integrals
Abstract We classify trilinear singular Brascamp–Lieb forms, extending a result of Demeter and Thiele. We use results from the representation theory of finite‐dimensional algebras, namely the classification of indecomposable representations of the four subspace quiver.
Lars Becker +2 more
wiley +1 more source
The global inverse fractional conductivity problem. [PDF]
Covi G, Railo J, Zimmermann P.
europepmc +1 more source
Fractional Laplacian in conformal geometry
In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli and Silvestre and a class of conformally covariant operators in conformal geometry.Peer ...
González Nogueras, María del Mar +1 more
core
Stability analysis and numerical simulation of nonlocal extended epidemic models using positivity-preserving scheme. [PDF]
Yousuf M, Alshakhoury N.
europepmc +1 more source
Optimization problems involving the fractional Laplacian
In this article we study rearrangement optimization problems related to boundary-value problems involving the fractional Laplacian.
Yisheng Huang, Chong Qiu, Yuying Zhou
core
Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]
Zimmermann P.
europepmc +1 more source
Second-order asymptotics of fractional Gagliardo seminorms as s → 1 - and convergence of the associated gradient flows. [PDF]
Kubin A, Pagliari V, Tribuzio A.
europepmc +1 more source
Eigenvalues homogenization for the fractional \(p\)-Laplacian
In this work we study the homogenization for eigenvalues of the fractional p-Laplace operator in a bounded domain both with Dirichlet and Neumann conditions. We obtain the convergence of eigenvalues and the explicit order of the convergence rates when periodic weights are considered.
openaire +3 more sources
Adaptive super-resolution UAV inspection and image perception strategy planning for distribution networks. [PDF]
Liu J, Xu G, Ma Y.
europepmc +1 more source

