A posteriori error estimates of finite element methods by preconditioning
- Resource Type
- Authors
- Ludmil T. Zikatanov; Yuwen Li
- Source
- Subject
- Correction method
MathematicsofComputing_NUMERICALANALYSIS
65N15, 65N30, 65F08
Estimator
Numerical Analysis (math.NA)
010103 numerical & computational mathematics
Residual
01 natural sciences
Finite element method
010101 applied mathematics
Computational Mathematics
Computational Theory and Mathematics
Simple (abstract algebra)
Modeling and Simulation
FOS: Mathematics
Applied mathematics
A priori and a posteriori
Mathematics - Numerical Analysis
0101 mathematics
Subspace topology
Mathematics
- Language
- English
We present a framework that relates preconditioning with a posteriori error estimates in finite element methods. In particular, we use standard tools in subspace correction methods to obtain reliable and efficient error estimators. As a simple example, we recover the classical residual error estimators for the second order elliptic equations.
14 pages