Adjoint error estimation for residual based discretizations of hyperbolic conservation laws I : linear problems

We prove higher regularity of the control and develop a priori error analysis for the finite element discretization of the shape optimization problem under consideration.. The derived

Comparison of the method with the results of a Gaussian kernel estimator with an unsymmetric noise (MISE × 100 averaged over 500 simulations), ˆ r ker is the risk of the

Anisotropic a posteriori error estimation for the mixed discontinuous Galerkin approximation of the Stokes problem... mixed discontinuous Galerkin approximation of the

• A posteriori error estimation tools used to compute the error • The computation of the bound is deterministic. • The second moment of the quantity of interest can be bounded –

We introduce a residual-based a posteriori error estimator for contact problems in two and three dimensional linear elasticity, discretized with linear and quadratic finite elements

Residual based error estimators seek the error by measuring, in each finite element, how far the numerical stress field is from equilibrium and, consequently, do not require

Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations. Elliptic reconstruction and a posteriori error estimates for parabolic

Thus, in [20] adjoint theory is employed to estimate the simplification error, which improves the error estimation results for internal and negative boundary features with Neumann