On the $2p$th-Order of Convergence of the Galerkin Difference Method
DOI10.1137/18M1204000zbMath1428.65043OpenAlexW2972019506MaRDI QIDQ5233116
Zhimin Zhang, Jun Hu, Shangyou Zhang
Publication date: 16 September 2019
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1204000
Numerical computation using splines (65D07) Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Superconvergence of any order finite volume schemes for 1D general elliptic equations
- Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods
- On the convergence of spectral multigrid methods for solving periodic problems
- Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces
- Superconvergence in Galerkin finite element methods
- On Galerkin difference methods
- Finite element approximation of eigenvalue problems
- The Lowest Order Differentiable Finite Element on Rectangular Grids
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Polynomial Approximation of Functions in Sobolev Spaces
- Higher-Dimensional Nonnested Multigrid Methods
- The Mathematical Theory of Finite Element Methods
- The minimal conforming $H^k$ finite element spaces on $R^n$ rectangular grids
- Unnamed Item
- Unnamed Item
This page was built for publication: On the $2p$th-Order of Convergence of the Galerkin Difference Method
