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View all- Li Y(2021)Recovery-based a Posteriori Error Analysis for Plate Bending ProblemsJournal of Scientific Computing10.1007/s10915-021-01595-988:3Online publication date: 1-Sep-2021
Quasi-optimal convergence rate for an adaptive hybridizable $$C^0$$C0 discontinuous Galerkin method for Kirchhoff plates
Authors: 
Pengtao Sun, Xuehai HuangAuthors Info & Claims
Abstract
In this paper, we present an adaptive hybridizable $$C^0$$C0 discontinuous Galerkin (HCDG) method for Kirchhoff plates. A reliable and efficient a posteriori error estimator is produced for this HCDG method. Quasi-orthogonality and discrete reliability are established with the help of a postprocessed bending moment and the discrete Helmholtz decomposition. Based on these, the contraction property between two consecutive loops and complexity of the adaptive HCDG method are studied thoroughly. The key points in our analysis are a postprocessed normal---normal continuous bending moment from the HCDG method solution and a lifting of jump residuals from inter-element boundaries to element interiors.
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Published: 01 August 2018
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View all- Li Y(2021)Recovery-based a Posteriori Error Analysis for Plate Bending ProblemsJournal of Scientific Computing10.1007/s10915-021-01595-988:3Online publication date: 1-Sep-2021
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