Zobrazeno 1 - 10
of 358
pro vyhledávání: '"Guo, Hailong"'
Monge-Amp\`{e}re equation is a prototype second-order fully nonlinear partial differential equation. In this paper, we propose a new idea to design and analyze the $C^0$ interior penalty method to approximation the viscosity solution of the Monge-Amp
Externí odkaz:
http://arxiv.org/abs/2409.00434
In this paper, we propose and analyze both conforming and nonconforming virtual element methods (VEMs) for the fully nonlinear second-order elliptic Hamilton-Jacobi-Bellman (HJB) equations with Cordes coefficients. By incorporating stabilization term
Externí odkaz:
http://arxiv.org/abs/2408.07153
A gradient enhanced ADMM algorithm for optimal transport on general surfaces is proposed in this paper. Based on Benamou and Brenier's dynamical formulation, we combine gradient recovery techniques on surfaces with the ADMM algorithm, not only improv
Externí odkaz:
http://arxiv.org/abs/2406.16285
This paper presents an innovative continuous linear finite element approach to effectively solve biharmonic problems on surfaces. The key idea behind this method lies in the strategic utilization of a surface gradient recovery operator to compute the
Externí odkaz:
http://arxiv.org/abs/2404.17958
Autor:
Wang, Rui, Guo, Hailong, Liu, Jiaming, Li, Huaxia, Zhao, Haibo, Tang, Xu, Hu, Yao, Tang, Hao, Li, Peipei
In this paper, we introduce StableGarment, a unified framework to tackle garment-centric(GC) generation tasks, including GC text-to-image, controllable GC text-to-image, stylized GC text-to-image, and robust virtual try-on. The main challenge lies in
Externí odkaz:
http://arxiv.org/abs/2403.10783
In this paper, we propose and analyze a series of novel algorithms based on projection-free accelerated gradient flows to minimize bending energies for nonlinear plates with non-convex metric constraints. We discuss the stability and constraint consi
Externí odkaz:
http://arxiv.org/abs/2402.12152
This paper focuses on the superconvergence analysis of the Hessian recovery technique for the $C^0$ Interior Penalty Method (C0IP) in solving the biharmonic equation. We establish interior error estimates for C0IP method that serve as the superconver
Externí odkaz:
http://arxiv.org/abs/2401.12589
In this paper, we propose the unfitted spectral element method for solving elliptic interface and corresponding eigenvalue problems. The novelty of the proposed method lies in its combination of the spectral accuracy of the spectral element method an
Externí odkaz:
http://arxiv.org/abs/2309.17027
In this paper, we propose a deep learning framework for solving high-dimensional partial integro-differential equations (PIDEs) based on the temporal difference learning. We introduce a set of Levy processes and construct a corresponding reinforcemen
Externí odkaz:
http://arxiv.org/abs/2307.02766