Boundary augmented Lagrangian method for the Signorini problem.
| Autor: | Zhang, Shougui |
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| Další autoři: | |
| Jazyk: | angličtina |
| Předmět: |
matematika
aplikovaná matematika Lagrangeovy rovnice teorie pevných bodů integrální rovnice mathematics applied mathematics Lagrange equations fixed point theory integral equations články journal articles Signorini problem augmented Lagrangian fixed point Steklov-Poincaré operator boundary integral equations |
| Druh dokumentu: | Non-fiction |
| ISSN: | 0862-7940 |
| Abstrakt: | Abstract: An augmented Lagrangian method, based on boundary variational formulations and fixed point method, is designed and analyzed for the Signorini problem of the Laplacian. Using the equivalence between Signorini boundary conditions and a fixed-point problem, we develop a new iterative algorithm that formulates the Signorini problem as a sequence of corresponding variational equations with the Steklov-Poincaré operator. Both theoretical results and numerical experiments show that the method presented is efficient. |
| Databáze: | Katalog Knihovny AV ČR |
| Externí odkaz: |
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