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Optimal order a posteriori error estimates for a class of Runge{Kutta and Galerkin methods
error estimates Galerkin methods
2015/12/11
We derive a posteriori error estimates, which exhibit
optimal global order, for a class of time stepping methods of any
order that include Runge{Kutta Collocation (RK-C) methods and
the continuous ...
A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods
averaging convection-diffusion-reaction problems discontinuous Galerkin methods
2010/11/9
We consider some (anisotropic and piecewise constant) convection-diffusion-reaction problems in domains of R2, approximated by a discontinuous Galerkin method with polynomials of any degree. We propos...
HIGH ACCURACY ANALYSIS FOR FIRST ORDER HYPERBOLIC EQUATIONS BY PETROV-GALERKIN METHODS
Petrov-Galerldn methods global supercon
2007/8/7
In this paper we employ the Petrov-Galerbo method for the first order hyperbolic problems to get the Galerkin approtoation of high accuracy by means of the interpolation postprocessing, extrapolation ...
A PRIORI L~2 ERROR ESTIMATES FOR GALERKIN METHODS FOR NONLINEAR SOBOLEV EQUATIONS
Error estimates Galerkin method Sobole
2007/8/7
In this paper we study Galerkin approximations to the solution of the nonlinear Sobolev equation c(u)u_t=▽·{a(u)▽u_t+b(u)▽u}+f(u) in two spatial dimensions and derive optimal L~2 error estimates for t...