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 and the challenges of smooth reconstruction on unstructured grids and error correction for shocks are discussed
The current work concerns the study and the implementation of a modern algorithm for error estimatio...
An a posteriori error formula is described when a statistical measurement of the solution to a hyper...
Abstract. We consider one-dimensional steady-state balance laws with discontinuous solutions. Giles ...
When approximating the solutions of partial differential equations, it is a few key output integrals...
These lecture notes begin by observing that in many cases the most important engineering outputs of ...
Earlier work introduced the notion of adjoint error correction for obtaining superconvergent estimat...
We present two error estimation approaches for bounding or correcting the error in functional estima...
We present two error estimation approaches for bounding or correcting the error in func-tional estim...
Motivated by applications in computational fluid dynamics, we present a method for obtaining estimat...
This paper presents an error estimation and grid adaptive strategy for estimating and reducing simu...
Motivated by applications in computational fluid dynamics, a method is presented for obtaining estim...
This paper explains how the solutions of appropriate adjoint equations can be used to estimate the e...
Motivated by applications in aero-acoustics and electromagnetics, this paper discusses the combined ...
This paper demonstrates the use of adjoint error analysis to improve the order of accuracy of integr...
AbstractThe a posteriori error evaluation based on differential approximation of a finite-difference...
The current work concerns the study and the implementation of a modern algorithm for error estimatio...
An a posteriori error formula is described when a statistical measurement of the solution to a hyper...
Abstract. We consider one-dimensional steady-state balance laws with discontinuous solutions. Giles ...
When approximating the solutions of partial differential equations, it is a few key output integrals...
These lecture notes begin by observing that in many cases the most important engineering outputs of ...
Earlier work introduced the notion of adjoint error correction for obtaining superconvergent estimat...
We present two error estimation approaches for bounding or correcting the error in functional estima...
We present two error estimation approaches for bounding or correcting the error in func-tional estim...
Motivated by applications in computational fluid dynamics, we present a method for obtaining estimat...
This paper presents an error estimation and grid adaptive strategy for estimating and reducing simu...
Motivated by applications in computational fluid dynamics, a method is presented for obtaining estim...
This paper explains how the solutions of appropriate adjoint equations can be used to estimate the e...
Motivated by applications in aero-acoustics and electromagnetics, this paper discusses the combined ...
This paper demonstrates the use of adjoint error analysis to improve the order of accuracy of integr...
AbstractThe a posteriori error evaluation based on differential approximation of a finite-difference...
The current work concerns the study and the implementation of a modern algorithm for error estimatio...
An a posteriori error formula is described when a statistical measurement of the solution to a hyper...
Abstract. We consider one-dimensional steady-state balance laws with discontinuous solutions. Giles ...
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