Constrained \(C^0\) finite element methods for biharmonic problem

DOI10.1155/2012/863125zbMath1259.65168OpenAlexW1969066466WikidataQ58696982 ScholiaQ58696982MaRDI QIDQ1938315

Rong An, Xuehai Huang

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/863125

zbMATH Keywords

error estimatesfinite elementbiharmonic probleminterior penalty method

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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• \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
• \(hp\)-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation
• \(hp\)-version interior penalty DGFEMs for the biharmonic equation
• Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
• Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
• Conforming and divergence-free Stokes elements on general triangular meshes
• Finite Element Methods for Elliptic Equations Using Nonconforming Elements
• A Priori Error Analysis for the hp-Version of the Discontinuous Galerkin Finite Element Method for the Biharmonic Equation
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Nonconforming Elements in the Finite Element Method with Penalty

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