Sep 19, 2020 · In this contribution we will study the optimal uniform convergence of a finite element method of any fixed order k ∈ N on Bakhvalov-type meshes ...
Feb 28, 2020 · Abstract:We propose a new analysis of convergence for a kth order (k\ge 1) finite element method, which is applied on Bakhvalov-type meshes ...
Uniform convergence of optimal order for a finite element method on a ...
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Feb 13, 2023 · This paper is to analyze a finite element method of any order on a Bakhvalov-type mesh in the case of 2D.
We propose a new analysis of convergence for a kth order ( k ≥ 1 ) finite element method, which is applied on Bakhvalov-type meshes to a singularly ...
Aug 30, 2024 · This paper introduces a novel analysis technique that leverages the properties of interpolation and the relationship between the smooth function and the layer ...
This paper describes two methods for the solution of (weakly) singular two-point boundary-value problems: Consider the uniform mesh xi = ih, h = 1/N, i = 0(1)N.
After we obtain some important properties of Bakhvalov-type meshes and interpolation errors, we prove uniform convergence of optimal order in the energy norm.
Apr 22, 2023 · Utilizing this technique in conjunction with a new interpolation featuring a simple structure, uniform convergence of optimal order k+1 under an ...
Sep 30, 2022 · A finite element method of any order is applied on a Bakhvalov-type mesh to solve a singularly perturbed convection–diffusion equation in 2D.
Sep 19, 2020 · The main goal of this paper is to present uniform convergence of optimal order in the corresponding energy and the balanced norms for (1.1) ...