Approximation of the biharmonic problem using piecewise linear finite elements
DOI10.1016/j.crma.2010.11.002zbMath1205.65314OpenAlexW1979976105MaRDI QIDQ616734
Raphaèle Herbin, Robert Eymard
Publication date: 12 January 2011
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-00693004/file/RERH.pdf
Boundary value problems for higher-order elliptic equations (35J40) 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)
Related Items (2)
Cites Work
- Unnamed Item
- \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
- Mixed discontinuous Galerkin finite element method for the biharmonic equation
- \(hp\)-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation
- A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow
- \(hp\)-version interior penalty DGFEMs for the biharmonic equation
- A mixed finite volume element method based on rectangular mesh for biharmonic equations
- Mathematical analysis of thin plate models
- Multipoint Taylor formulas and applications to the finite element method
- A Compact Difference Scheme for the Biharmonic Equation in Planar Irregular Domains
- Mixed and Hybrid Finite Element Methods
- A Fast Direct Solver for the Biharmonic Problem in a Rectangular Grid
- Discontinuous Galerkin methods for the biharmonic problem
This page was built for publication: Approximation of the biharmonic problem using piecewise linear finite elements
