Zobrazeno 1 - 10
of 272
pro vyhledávání: '"65N30, 65N15"'
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
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
Autor:
Vexler, Boris
In this paper we develop numerical analysis for finite element discretization of semilinear elliptic equations with potentially non-Lipschitz nonlinearites. The nonlinearity is essecially assumed to be continuous and monotonically decreasing includin
Externí odkaz:
http://arxiv.org/abs/2411.06926
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
In this paper, on the basis of a (Fenchel) duality theory on the continuous level, we derive an $\textit{a posteriori}$ error identity for arbitrary conforming approximations of a primal formulation and a dual formulation of variational problems invo
Externí odkaz:
http://arxiv.org/abs/2410.18780
We consider the Weak Galerkin finite element approximation of the Singularly Perturbed Biharmonic elliptic problem on a unit square domain with clamped boundary conditions. Shishkin mesh is used for domain discretization as the solution exhibits boun
Externí odkaz:
http://arxiv.org/abs/2409.07217
We develop a family of mixed finite element methods for a model of nonlinear poroelasticity where, thanks to a rewriting of the constitutive equations, the permeability depends on the total poroelastic stress and on the fluid pressure and therefore w
Externí odkaz:
http://arxiv.org/abs/2409.03246
Autor:
Wang, Chunmei
This paper introduces an auto-stabilized weak Galerkin (WG) finite element method for biharmonic equations with built-in stabilizers. Unlike existing stabilizer-free WG methods limited to convex elements in finite element partitions, our approach acc
Externí odkaz:
http://arxiv.org/abs/2409.05887
Autor:
Wang, Chunmei
This paper introduces an auto-stabilized weak Galerkin (WG) finite element method with a built-in stabilizer for Poisson equations. By utilizing bubble functions as a key analytical tool, our method extends to both convex and non-convex elements in f
Externí odkaz:
http://arxiv.org/abs/2408.11927
Autor:
Bueler, Ed
The primary data which determine the evolution of glaciation are the bedrock elevation and the surface mass balance. From this data, which we assume is defined over a fixed land region, the glacier's geometry solves a free boundary problem which bala
Externí odkaz:
http://arxiv.org/abs/2408.06470