Work

The mixed penalty method for the Signorini problem

Year: 2024

Type: article

Abstract: We investigate two penalty approaches for the Signorini problem in the mixed form. The well-posedness theory has been established for the two mixed penalty problems in both the continuous and discrete sense. For the continuous case, we obtain the error of the penalty for both two approaches. We also study the error estimates of the discrete mixed penalty problems, which depend on the mesh size and the penalty parameter. Based on the two penalty approaches, we design two algorithms and show their convergence. Several numerical experiments are carried out to confirm the theoretical results.

Source: ESAIM Mathematical Modelling and Numerical Analysis

DOI: 10.1051/m2an/2024066

Authors: Jingyan Hu, Qi Wang, Guanyu Zhou

Institution: University of Electronic Science and Technology of China

Language: English

Topic: Contact Mechanics and Variational Inequalities

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid:

Funders: National Natural Science Foundation of China, Natural Science Foundation of Sichuan Province