An a posteriori analysis of C0 interior penalty methods for the obstacle problem of clamped Kirchhoff plates

• Verfasst von: Brenner, Susanne C. [VerfasserIn]
• Verfasst von: Gedicke, Joscha [VerfasserIn]
• Verfasst von: Sung, Li-Yeng [VerfasserIn]
• Verfasst von: Zhang, Yi [VerfasserIn]
• Titel: An a posteriori analysis of C0 interior penalty methods for the obstacle problem of clamped Kirchhoff plates
• Verf.angabe: Susanne C. Brenner, Joscha Gedicke, Li-Yeng Sung, and Yi Zhang
• E-Jahr: 2017
• Jahr: January 12, 2017
• Umfang: 22 S.
• Fussnoten: Im Titel ist die Zahl "0" hochgestellt ; Gesehen am 23.11.2020
• Titel Quelle: Enthalten in: Society for Industrial and Applied MathematicsSIAM journal on numerical analysis
• Ort Quelle: Philadelphia, Pa. : SIAM, 1966
• Jahr Quelle: 2017
• Band/Heft Quelle: 55(2017), 1, Seite 87-108
• ISSN Quelle: 1095-7170
• DOI: doi:10.1137/15M1039444
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1740424077

Abstract

We develop an a posteriori analysis of C0 interior penalty methods for the displacement obstacle problem of clamped Kirchhoff plates. We show that a residual based error estimator originally designed for $C^0$ interior penalty methods for the boundary value problem of clamped Kirchhoff plates can also be used for the obstacle problem. We obtain reliability and efficiency estimates for the error estimator and introduce an adaptive algorithm based on this error estimator. Numerical results indicate that the performance of the adaptive algorithm is optimal for both quadratic and cubic C0 interior penalty methods.