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Items for "finite elements"

Improved discretization error estimates for first-order system least squares

We study the discretization accuracy for first-order system least squares (FOSLS) applied to Poisson's equation as a model problem...

Keywords: Least squares discretization, finite elements, error analysis

06/2003 | Journal of Numerical Mathematics, Walter de Gruyter

Layer-adapted meshes for one-dimensional reaction–convection–diffusion problems

We study convergence properties of an upwinded finite element method for the solution of linear one-dimensional reaction–convection–diffusion problems on arbitrary meshes...

Keywords: Reactionconvectiondiffusion, finite elements, singular perturbation, layer-adapted meshes

09/2004 | Journal of Numerical Mathematics, Walter de Gruyter

Estimating the control error in discretized PDE-constrained optimization

In this article we develop an a posteriori error estimator for discretized optimal control problems...

Keywords: finite elements, optimal control, adaptive methods

09/2006 | Journal of Numerical Mathematics, Walter de Gruyter

Meyers type estimates for approximate solutions of nonlinear parabolic equations and their applications

In this paper we obtain Meyers type L ^p+ε-estimates for approximate solutions of nonlinear parabolic equations...

Keywords: nonlinear equations, parabolic equations, finite elements