Adjoint Error Correction for Integral Outputs
نویسنده
چکیده
منابع مشابه
Progress in adjoint error correction for integral functionals
When approximating the solutions of partial differential equations, it is a few key output integrals which are often of most concern. This paper shows how the accuracy of these values can be improved through a correction term which is an inner product of the residual error in the original p.d.e. and the solution of an appropriately defined adjoint p.d.e. A number of applications are presented a...
متن کاملOutput error estimation strategies for discontinuous Galerkin discretizations of unsteady convectiondominated flows
We study practical strategies for estimating numerical errors in scalar outputs calculated from unsteady simulations of convection-dominated flows, including those governed by the compressible Navier–Stokes equations. The discretization is a discontinuous Galerkin finite element method in space and time on static spatial meshes. Time-integral quantities are considered for scalar outputs and the...
متن کاملOutput-based space-time mesh adaptation for the compressible Navier-Stokes equations
This paper presents an output-based adaptive algorithm for unsteady simulations of convectiondominated flows. A space-time discontinuous Galerkin discretization is used in which the spatial meshes remain static in both position and resolution, and in which all elements advance by the same time step. Error estimates are computed using an adjoint-weighted residual, where the discrete adjoint is c...
متن کاملBernoulli collocation method with residual correction for solving integral-algebraic equations
The principal aim of this paper is to serve the numerical solution of an integral-algebraic equation (IAE) by using the Bernoulli polynomials and the residual correction method. After implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown Bernoulli coefficients. This method gives an analytic solution when ...
متن کاملAdjoint and Defect Error Bounding and Correction for Functional Estimates
We present two error estimation approaches for bounding or correcting the error in functional estimates such as lift or drag. Adjoint methods quantify the error in a particular output functional that results from residual errors in approximating the solution to the partial differential equation. Defect methods can be used to bound or reduce the error in the entire solution, with corresponding i...
متن کامل