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pro vyhledávání: '"G.1.8"'
Based on the functional renormalization group (FRG) under the local potential approximation, we analyze the Bose-Einstein condensation (BEC) in the relativistic complex scalar theory. This framework leads to a complex flow equation of the effective p
Externí odkaz:
http://arxiv.org/abs/2409.04361
The method of fundamental solutions (MFS) is known to be effective for solving 3D Laplace and Stokes Dirichlet boundary value problems in the exterior of a large collection of simple smooth objects. Here we present new scalable MFS formulations for t
Externí odkaz:
http://arxiv.org/abs/2409.04215
Autor:
Lundgren, Lukas, Helanow, Christian, Wiskandt, Jonathan, Koszalka, Inga Monika, Ahlkrona, Josefin
We introduce a continuous Galerkin finite element discretization of the non-hydrostatic Boussinesq approximation of the Navier-Stokes equations, suitable for various applications such as coastal ocean dynamics and ice-ocean interactions, among others
Externí odkaz:
http://arxiv.org/abs/2409.00972
In this work, we propose a deep learning-based imaging method for addressing the multi-frequency electromagnetic (EM) inverse scattering problem (ISP). By combining deep learning technology with EM physical laws, we have successfully developed a mult
Externí odkaz:
http://arxiv.org/abs/2409.01315
Surface-subsurface flow models for hydrological applications solve a coupled multiphysics problem. This usually consists of some form of the Richards and shallow water equations. A typical setup couples these two nonlinear partial differential equati
Externí odkaz:
http://arxiv.org/abs/2408.12582
The take-home message of this paper is that solving optimal control problems can be computationally straightforward, provided that differentiable partial differential equation (PDE) solvers are available. Although this might seem to be a strong limit
Externí odkaz:
http://arxiv.org/abs/2408.12404
Autor:
Lei, Wei-Min, Li, Hou-Biao
Neural operators are effective tools for solving parametric partial differential equations (PDEs). They can predict solutions of PDEs with different initial and boundary conditions, as well as different input functions. The recently proposed Wavelet
Externí odkaz:
http://arxiv.org/abs/2408.08190
A Waveguide Port Boundary Condition (WPBC) based on the restriction of the approximation space is presented in the context of Finite Element Analysis. As well as reducing the computational domain in the same manner as the traditional WPBC, the propos
Externí odkaz:
http://arxiv.org/abs/2407.21766
Background and Objective: This article concerns a diffusion-based mathematical model for analyzing blood flow and oxygen transport within the capillaries, emphasizing its significance in understanding the physiological and biochemical dynamics of the
Externí odkaz:
http://arxiv.org/abs/2407.17082
Surfactants that are deposited at aqueous liquid films have the ability to generate surface tension gradients at the air-water interface, and thereby induce Marangoni flow. Combined with the production and depletion of surfactants at different locati
Externí odkaz:
http://arxiv.org/abs/2407.11868