Isoparametric \(C ^{0}\) interior penalty methods for plate bending problems on smooth domains
type: Item
instance of: scholarly article
title: Isoparametric \(C ^{0}\) interior penalty methods for plate bending problems on smooth domains
zbMATH Open document ID: 1341.74147
author: Yanyan Li
published in: Calcolo
publication date: 2013-04-15T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 6153974
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: order of convergence
zbMATH Keywords: lower-order Sobolev norm
zbMATH Keywords: energy norm
MaRDI profile type: Publication
full work available at URL: s10092-012-0057-1
OpenAlex ID: W2059953522
cites work: Q5318420
cites work: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
cites work: A Family of ${C}^0$ Finite Elements For Kirchhoff Plates I: Error Analysis
cites work: Q5824829
cites work: Optimal Finite-Element Interpolation on Curved Domains
cites work: Error estimates for isoparametric mixed finite element solution of 4th order elliptic problems with variable coefficients
cites work: C 0 Interior Penalty Methods
cites work: The Mathematical Theory of Finite Element Methods
cites work: Q4503858
cites work: \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
cites work: Poincaré–Friedrichs Inequalities for PiecewiseH2Functions
cites work: Q4162607
cites work: Interpolation theory over curved elements, with applications to finite element methods
cites work: Polynomial Approximation of Functions in Sobolev Spaces
cites work: Q4097611
cites work: Q1858456
cites work: Q4765898
cites work: Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
cites work: Approximation of the Boundary in the Finite Element Solution of Fourth Order Problems
cites work: A Clough-Tocher Type Element Useful for Fourth Order Problems Over Nonpolygonal Domains
cites work: Q4189563
cites work: Curved Elements in the Finite Element Method. I
cites work: Curved Elements in the Finite Element Method. II
DOI: 10.1007/S10092-012-0057-1
description: scientific article; zbMATH DE number 6153974