A Partition of Unity Method for a Fourth‐Order Variational Inequality of the Second Kind.
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| Title: | A Partition of Unity Method for a Fourth‐Order Variational Inequality of the Second Kind. |
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| Authors: | Bard Davis, Christopher1 (AUTHOR) cbdavis@tntech.edu, Zhang, Yi2 (AUTHOR) |
| Source: | Numerical Methods for Partial Differential Equations. Jul2025, Vol. 41 Issue 4, p1-13. 13p. |
| Subjects: | Partition of unity method, Variational inequalities (Mathematics), Energy function, Error analysis in mathematics |
| 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 H3(Ω)$$ {H}^3\left(\Omega \right) $$ regular, optimal error estimates are made in the energy norm. Numerical examples are given to demonstrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| 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 H3(Ω)$$ {H}^3\left(\Omega \right) $$ regular, optimal error estimates are made in the energy norm. Numerical examples are given to demonstrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 0749159X |
| DOI: | 10.1002/num.70020 |
