Optimum error estimates for finite-difference methods
M. N. Spijker (1974)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying similar documents to “On a method for a-posteriori error estimation of approximate solutions to parabolic problems”
Optimum error estimates for finite-difference methods
A new error estimate for a fully finite element discretization scheme for parabolic equations using Crank-Nicolson method
Abdallah Bradji, Jürgen Fuhrmann (2014)
Mathematica Bohemica
Similarity:
Finite element methods with piecewise polynomial spaces in space for solving the nonstationary heat equation, as a model for parabolic equations are considered. The discretization in time is performed using the Crank-Nicolson method. A new a priori estimate is proved. Thanks to this new a priori estimate, a new error estimate in the discrete norm of is proved. An -error estimate is also shown. These error estimates are useful since they allow us to get second order time accurate approximations...
Grid adjustment based on a posteriori error estimators
Karel Segeth (1993)
Applications of Mathematics
Similarity:
The adjustment of one-dimensional space grid for a parabolic partial differential equation solved by the finite element method of lines is considered in the paper. In particular, the approach based on a posteriori error indicators and error estimators is studied. A statement on the rate of convergence of the approximation of error by estimator to the error in the case of a system of parabolic equations is presented.