椭圆型问题的带拉格朗日乘子的间断伽辽金方法的后验误差估计

IF 2.5 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2025-09-17 DOI:10.1016/j.camwa.2025.09.005

Mi-Young Kim

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引用次数: 0

摘要

针对H1/2（∂Ω）中具有非齐次Dirichlet边界条件u=g的椭圆型问题，推导并分析了带拉格朗日乘子的不连续Galerkin方法（DGLM）解的后验误差估计。导出了DGLM方法的通用版本。证明了DGLM方法解具有较强的稳定性。介绍了一般DGLM方法的边缘迭代格式。

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A posteriori error estimate of the discontinuous Galerkin method with Lagrange multiplier for elliptic problems

This study aims to derive and analyze an a posteriori error estimator for the solution of the discontinuous Galerkin method with Lagrange multiplier (DGLM) for the elliptic problems with nonhomogeneous Dirichlet boundary condition

u = g

for g in

H^{1 / 2} (\partial Ω)

. A general version of the DGLM method is derived. Strong stability of the solution of the DGLM method is proved. Edgewise iterative scheme for the general DGLM method is described.

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).