Local ultraconvergence of high order finite element method by interpolation postprocessing technique for elliptic problems with constant coefficients
From MaRDI portal
Publication:2308468
DOI10.1016/j.camwa.2019.11.016zbMath1437.65190OpenAlexW2992946364MaRDI QIDQ2308468
Xiong Liu, Jin Xiao, Wen-ming He
Publication date: 3 April 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.11.016
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Second-order elliptic equations (35J15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ultraconvergence of high order FEMs for elliptic problems with variable coefficients
- The superconvergent patch recovery (SPR) and adaptive finite element refinement
- Superconvergence in high-order Galerkin finite element methods
- Gradient recovery for elliptic interface problem. III: Nitsche's method
- The highest order superconvergence for bi-$k$ degree rectangular elements at nodes: A proof of $2k$-conjecture
- Superconvergence of Discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations
- Asymptotic Error Expansions for the Finite Element Method for Second Order Elliptic Problems in $R^N$, $N\geq2$. I: Local Interior Expansions
- Convergence and optimality of adaptive mixed finite element methods
- Superconvergence of quadratic finite elements on mildly structured grids
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- Interior Estimates for Ritz-Galerkin Methods
- Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part II: The piecewise linear case
- Gradient superconvergence on uniform simplicial partitions of polytopes
- Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations
- Analysis of recovery type a posteriori error estimators for mildly structured grids
- Interior Maximum-Norm Estimates for Finite Element Methods, Part II
- Superconvergence in Finite Element Methods and Meshes That are Locally Symmetric with Respect to a Point
- ISOLATION OF SINGULARITIES OF THE GREEN'S FUNCTION
- Ultraconvergence of Finite Element Method by Richardson Extrapolation for Elliptic Problems with Constant Coefficients
This page was built for publication: Local ultraconvergence of high order finite element method by interpolation postprocessing technique for elliptic problems with constant coefficients
