Pointwise error estimates for a stabilized Galerkin method: Non-selfadjoint problems
DOI10.1007/s10543-010-0274-4zbMath1202.65149OpenAlexW2092521412MaRDI QIDQ1960211
Publication date: 13 October 2010
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-010-0274-4
finite elementdiscrete Green's functionpointwise error estimates\(L_2\)-normRitz projectionstabilized Galerkin method\(W^1_{\infty}\)-normsecond-order non-selfadjoint elliptic partial differential equations
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)
Cites Work
- Pointwise localized error estimates for parabolic finite element equations
- Superconvergence in Galerkin finite element methods
- Least-quares for second-order elliptic problems
- Pointwise Error Estimates and Asymptotic Error Expansion Inequalities for the Finite Element Method on Irregular Grids: Part II. Interior Estimates
- 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
- Pointwise error estimate and asymptotic error expansion inequalities for a stabilized Galerkin method
- A least-squares method for second order noncoercive elliptic partial differential equations
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Local and pointwise error estimates of the local discontinuous Galerkin method applied to the Stokes problem
- Sharply localized pointwise and $W_\infty^{-1}$ estimates for finite element methods for quasilinear problems
- Weighted error estimates of the continuous interior penalty method for singularly perturbed problems
- On the Quasi-Optimality in $L_\infty$ of the $\overset{\circ}{H}^1$-Projection into Finite Element Spaces*
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids: Part I. Global estimates
- Piecewise linear finite element methods are not localized
- Interior Maximum-Norm Estimates for Finite Element Methods, Part II
- The Mathematical Theory of Finite Element Methods
- Pointwise Error Estimates for Finite Element Solutions of the Stokes Problem
- Perturbations of Forms and Error Estimates for the Finite Element Method at a Point, with an Application to Improved Superconvergence Error Estimates for Subspaces that Are Symmetric with Respect to a Point
This page was built for publication: Pointwise error estimates for a stabilized Galerkin method: Non-selfadjoint problems