A posteriori error estimates for fourth-order elliptic problems

DOI10.1016/S0045-7825(01)00412-1zbMath0999.65115OpenAlexW1989563483MaRDI QIDQ1605110

Slimane Adjerid

Publication date: 11 July 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(01)00412-1

zbMATH Keywords

a posteriori error estimatesconforming finite elementsfourth order elliptic problems

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

Quasi-optimal convergence rate for an adaptive hybridizable \(C^0\) discontinuous Galerkin method for Kirchhoff plates, A priori and a posteriori error analysis for the mixed discontinuous Galerkin finite element approximations of the biharmonic problems, A note on a posteriori error bounds for numerical solutions of elliptic equations with a piecewise constant reaction coefficient having large jumps, Some a posteriori error bounds for numerical solutions of plate in bending problems, Three-dimensional data transfer operators in large plasticity deformations using modified-SPR technique, A posteriori error estimation for $hp$-adaptivity for fourth-order equations, Residual-Based A Posteriori Error Estimates for $hp$-Discontinuous Galerkin Discretizations of the Biharmonic Problem, On error control at numerical solution of forth order elliptic equations with strongly discontinuous reaction coefficient, Even-odd goal-oriented a posteriori error estimation for elliptic problems, Adaptive discontinuous Galerkin approximations to fourth order parabolic problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A procedure for a posteriori error estimation for \(h\)-\(p\) finite element methods
• High-order adaptive methods for parabolic systems
• A posteriori error estimation with finite element methods of lines for one-dimensional parabolic systems
• A unified approach to a posteriori error estimation using element residual methods
• Pollution-error in the \(h\)-version of the finite-element method and the local quality of a posteriori error estimators
• A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
• Guaranteed computable bounds for the exact error in the finite element solution. I: One-dimensional model problem
• A continuum model of kinetic roughening and coarsening in thin films
• A POSTERIORIERROR ESTIMATION FOR THE FINITE ELEMENT METHOD-OF-LINES SOLUTION OF PARABOLIC PROBLEMS
• New basis functions and computational procedures for p‐version finite element analysis
• Guaranteed computable bounds for the exact error in the finite element solution?Part II: bounds for the energy norm of the error in two dimensions
• A Posteriori Finite Element Error Estimation for Diffusion Problems
• Hierarchical finite element bases for triangular and tetrahedral elements
• Goal-oriented error estimation and adaptivity for the finite element method