Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem

DOI10.1515/jnma-2015-0021zbMath1328.65237OpenAlexW2401039246MaRDI QIDQ898916

Thomas Fraunholz, Ronald H. W. Hoppe, Malte A. Peter

Publication date: 21 December 2015

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-425033

zbMATH Keywords

biharmonic equationquasioptimal convergence\(C^0\)-interior penalty discontinuous Galerkin methodresidual type a posteriori error estimator

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for higher-order elliptic equations (35J35)

Related Items (5)

Goal-oriented a posteriori error estimation for the biharmonic problem based on an equilibrated moment tensor ⋮ A C⁰ interior penalty method for the phase field crystal equation ⋮ Unconditional Energy Stability and Solvability for a C0 Interior Penalty Method for a Sixth-Order Equation Modeling Microemulsions ⋮ Transport at Interfaces in Lipid Membranes and Enantiomer Separation ⋮ C $$^0$$ -Interior Penalty Discontinuous Galerkin Approximation of a Sixth-Order Cahn-Hilliard Equation Modeling Microemulsification Processes

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