scientific article; zbMATH DE number 912078

DOI<507::AID-NUM6>3.0.CO;2-Q 10.1002/(SICI)1098-2426(199607)12:4<507::AID-NUM6>3.0.CO;2-QzbMath0858.65115MaRDI QIDQ4886447

Zhimin Zhang, Harold Dean jun. Victory

Publication date: 31 July 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

error estimatesfinite element methodsuperconvergencederivative patch recovery technique

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (15)

Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions ⋮ Analysis of recovery type a posteriori error estimators for mildly structured grids ⋮ Orthogonality constrained gradient reconstruction for superconvergent linear functionals ⋮ The superconvergent cluster recovery method ⋮ High order compact schemes for gradient approximation ⋮ Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation ⋮ Gradient superconvergence post-processing of the tensor-product quadratic pentahedral finite element ⋮ Unnamed Item ⋮ Error estimates and adaptive finite element methods ⋮ Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes ⋮ Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates ⋮ Curl recovery for the lowest order rectangular edge element ⋮ Ultraconvergence of the patch recovery technique II ⋮ A posteriori error estimation -- the relationship between different procedures ⋮ The ultraconvergence of derivative for bicubic finite element

Cites Work

• On superconvergence techniques
• Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
• A posteriori error estimation
• A posteriori error estimators in the finite element method
• A unified approach to a posteriori error estimation using element residual methods
• Superconvergence in Galerkin finite element methods
• Superconvergence of the Velocity Along the Gauss Lines in Mixed Finite Element Methods
• A simple error estimator and adaptive procedure for practical engineerng analysis
• Superconvergence and Reduced Integration in the Finite Element Method
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• Error Estimates for Adaptive Finite Element Computations
• Superconvergence of the gradient of finite element solutions
• Validation of a posteriori error estimators by numerical approach
• The problem of the selection of an a posteriori error indicator based on smoothening techniques
• Local and global smoothing of discontinuous finite element functions using a least squares method
• On the calculation of consistent stress distributions in finite element approximations
• Superconvergent recovery of gradients on subdomains from piecewise linear finite‐element approximations

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