RESEARCH ARTICLE
A Partition of Unity Method for a Fourth-Order Variational Inequality of the Second Kind
Christopher Bard Davis,
Yi Zhang,
Corresponding Author
Christopher Bard Davis
Department of Mathematics, Tennessee Technological University, Cookeville, Tennessee, USA
Correspondence: Christopher Bard Davis ([email protected])
Search for more papers by this authorYi Zhang
Department of Mathematics & Statistics, University of North Carolina at Greensboro, Greensboro, North Carolina, USA
Search for more papers by this authorChristopher Bard Davis,
Yi Zhang,
Corresponding Author
Christopher Bard Davis
Department of Mathematics, Tennessee Technological University, Cookeville, Tennessee, USA
Correspondence: Christopher Bard Davis ([email protected])
Search for more papers by this authorYi Zhang
Department of Mathematics & Statistics, University of North Carolina at Greensboro, Greensboro, North Carolina, USA
Search for more papers by this authorFirst published: 16 July 2025
Funding: This work was partially supported by the National Science Foundation (Grant No. DMS-2111004).
ABSTRACT
In this work, we consider the use of a flat-top partition of unity method to solve a class of fourth-order variational inequalities of the second kind. Under the assumption that the solution is regular, optimal error estimates are made in the energy norm. Numerical examples are given to demonstrate the effectiveness of the proposed method.
Open Research
Data Availability Statement
The data that support the findings of this study are available from the corresponding author upon reasonable request.
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