Localized pointwise error estimates for mixed finite element methods
From MaRDI portal
Publication:4813601
DOI10.1090/S0025-5718-04-01650-3zbMath1068.65127OpenAlexW1995751822MaRDI QIDQ4813601
Publication date: 13 August 2004
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-04-01650-3
Boundary value problems for second-order elliptic equations (35J25) 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 (10)
Local L2-bounded commuting projections in FEEC ⋮ Analysis of a Modified Second-Order Mixed Hybrid $BDM_1$ Finite Element Method for Transport Problems in Divergence Form ⋮ Local bounded cochain projections ⋮ Localized pointwise error estimates for hybrid finite element methods ⋮ A Dual Finite Element Method for a Singularly Perturbed Reaction-Diffusion Problem ⋮ Pointwise error estimates of the local discontinuous Galerkin method for a second order elliptic problem ⋮ Sharply localized pointwise and $W_\infty^{-1}$ estimates for finite element methods for quasilinear problems ⋮ Maximum-norm stability of the finite element Stokes projection ⋮ Finite element approximation of elliptic control problems with constraints on the gradient ⋮ Local energy estimates for the finite element method on sharply varying grids
Cites Work
- Optimal \(L_{\infty}\)-estimates for a mixed finite element method for second order elliptic and parabolic problems
- Two families of mixed finite elements for second order elliptic problems
- Elliptic partial differential equations of second order
- Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part 1: A smooth problem and globally quasi-uniform meshes
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- Sharp maximum norm error estimates for general mixed finite element approximations to second order elliptic equations
- Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids: Part I. Global estimates
- Suboptimal and Optimal Convergence in Mixed Finite Element Methods
- Interior Maximum-Norm Estimates for Finite Element Methods, Part II
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Localized pointwise error estimates for mixed finite element methods
