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arXiv 2009.096072020-09-21math.NAcs.NA

A General Error Estimate For Parabolic Variational Inequalities

Yahya Alnashri

英文摘要：

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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