Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Wei, Huayi"'
In this work, we propose an Operator Learning (OpL) method for solving boundary value inverse problems in partial differential equations (PDEs), focusing on recovering diffusion coefficients from boundary data. Inspired by the classical Direct Sampli
Externí odkaz:
http://arxiv.org/abs/2411.05341
This study investigates high-order face and edge elements in finite element methods, with a focus on their geometric attributes, indexing management, and practical application. The exposition begins by a geometric decomposition of Lagrange finite ele
Externí odkaz:
http://arxiv.org/abs/2309.13843
It has been extensively studied in the literature that solving Maxwell equations is very sensitive to the mesh structure, space conformity and solution regularity. Roughly speaking, for almost all the methods in the literature, optimal convergence fo
Externí odkaz:
http://arxiv.org/abs/2304.04418
Virtual element methods (VEMs) without extrinsic stabilization in arbitrary degree of polynomial are developed for second order elliptic problems, including a nonconforming VEM and a conforming VEM in arbitrary dimension. The key is to construct loca
Externí odkaz:
http://arxiv.org/abs/2212.01720
In this paper, we develop an adaptive high-order surface finite element method (FEM) incorporating the spectral deferred correction method for chain contour discretization to solve polymeric self-consistent field equations on general curved surfaces.
Externí odkaz:
http://arxiv.org/abs/2106.07405
Piecewise divergence-free nonconforming virtual elements are designed for Stokes problem in any dimensions. After introducing a local energy projector based on the Stokes problem and the stabilization, a divergence-free nonconforming virtual element
Externí odkaz:
http://arxiv.org/abs/2007.02090
In this paper, we develop a high-order adaptive virtual element method (VEM) to simulate the self-consistent field theory (SCFT) model in arbitrary domains. The VEM is very flexible in handling general polygon elements and can treat hanging nodes as
Externí odkaz:
http://arxiv.org/abs/2002.08187
Publikováno v:
In Nonlinear Analysis: Real World Applications October 2023 73
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