Zobrazeno 1 - 10
of 2 347
pro vyhledávání: '"65N12"'
Autor:
Wang, Chunmei, Zhang, Shangyou
This paper presents an efficient weak Galerkin (WG) finite element method with reduced stabilizers for solving the time-harmonic Maxwell equations on both convex and non-convex polyhedral meshes. By employing bubble functions as a critical analytical
Externí odkaz:
http://arxiv.org/abs/2410.20615
Autor:
Zhang, Hui
We propose a practical tool for evaluating and comparing the accuracy of FDMs for the Helmholtz equation. The tool based on Fourier analysis makes it easy to find wavenumber explicit order of convergence, and can be used for rigorous proof. It fills
Externí odkaz:
http://arxiv.org/abs/2412.12993
Autor:
Wang, Chunmei
This paper presents a simplified weak Galerkin (WG) finite element method for solving biharmonic equations avoiding the use of traditional stabilizers. The proposed WG method supports both convex and non-convex polytopal elements in finite element pa
Externí odkaz:
http://arxiv.org/abs/2412.11315
In recent years, stochastic effects have become increasingly relevant for describing fluid behaviour, particularly in the context of turbulence. The most important model for inviscid fluids in computational fluid dynamics are the Euler equations of g
Externí odkaz:
http://arxiv.org/abs/2412.07613
Autor:
Bonetti, Stefano, Corti, Mattia
We present and analyze a discontinuous Galerkin method for the numerical modeling of a Kelvin-Voigt thermo/poro-viscoelastic problem. We present the derivation of the model, and we develop a stability analysis in the continuous setting that holds bot
Externí odkaz:
http://arxiv.org/abs/2411.19610
Autor:
Wang, Chunmei, Zhang, Shangyou
This paper presents a weak Galerkin (WG) finite element method for linear elasticity on general polygonal and polyhedral meshes, free from convexity constraints, by leveraging bubble functions as central analytical tools. The proposed method eliminat
Externí odkaz:
http://arxiv.org/abs/2411.17879
In this article, a hybridizable discontinuous Galerkin (HDG) method is proposed and analyzed for the Klein-Gordon equation with local Lipschitz-type non-linearity. {\it A priori} error estimates are derived, and it is proved that approximations of th
Externí odkaz:
http://arxiv.org/abs/2411.15572
We introduce a deep learning-based framework for weakly enforcing boundary conditions in the numerical approximation of partial differential equations. Building on existing physics-informed neural network and deep Ritz methods, we propose the Deep Uz
Externí odkaz:
http://arxiv.org/abs/2411.08702
In this work, we explore the application of the Virtual Element Methods for Neumann boundary Optimal Control Problems in saddle point formulation. The method is proposed for arbitrarily polynomial order of accuracy and general polygonal meshes. Our c
Externí odkaz:
http://arxiv.org/abs/2411.08497
Autor:
Wu, Shuonan, Zhou, Hao
This paper presents a novel stabilized nonconforming finite element method for solving the surface biharmonic problem. The method extends the New-Zienkiewicz-type (NZT) element to polyhedral (approximated) surfaces by employing the Piola transform to
Externí odkaz:
http://arxiv.org/abs/2411.02952