A comparison of a posteriori error estimates for biharmonic problems solved by the FEM

DOI10.1016/J.CAM.2012.02.014zbMath1250.65133OpenAlexW1974200081MaRDI QIDQ448448

Karel Segeth

Publication date: 6 September 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.02.014

zbMATH Keywords

biharmonic equationa posteriori error estimates\(hp\)-adaptive finite element 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)

Related Items (3)

Quasi-optimal convergence rate for an adaptive hybridizable \(C^0\) discontinuous Galerkin method for Kirchhoff plates ⋮ Residual error estimation for anisotropic Kirchhoff plates ⋮ A priori and a posteriori error analysis for the mixed discontinuous Galerkin finite element approximations of the biharmonic problems

Cites Work

• A posteriori estimates for partial differential equations
• Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems
• Introduction to Finite Element Analysis
• On nonconforming an mixed finite element methods for plate bending problems. The linear case
• A‐posteriori error estimates for the finite element method
• Error Estimates for Adaptive Finite Element Computations
• Guaranteed and locally computable a posteriori error estimate
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• The generalized finite element method
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