论文标题

抛物线差异不平等的一般错误估计

A General Error Estimate For Parabolic Variational Inequalities

论文作者

Alnashri, Yahya

论文摘要

梯度离散方法(GDM)是一个通用框架,最近是在空间空间中为部分微分方程而设计的。本文旨在使用GDM来为抛物线障碍物问题的数值近似值建立第一个常规误差估计。这给出了几个良好的构象和非符合数值方法的收敛速率。提供了基于混合有限体积方法的数值实验来验证理论结果。

The gradient discretisation method (GDM) is a generic framework designed recently, as a discretise in spatial space, to partial differential equations. This paper aims to use the GDM to establish a first general error estimate for numerical approximations of parabolic obstacle problems. This gives the convergence rates of several well--known conforming and non conforming numerical methods. Numerical experiments based on the hybrid finite volume method are provided to verify the theoretical results.

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