Add to ORKGThe paper introduces a methodology to compute upper and lower bounds for linear-functional outputs of the exact solutions of parabolic problems. In this second part, the bounds account for the error both in space and time. The assumption stating that the error introduced by the time marching scheme is negligible, used in the first part, is removed here. The bounds are computed starting from an approximation of the exact solution, associated with a spatial mesh and a time grid. Nevertheless, the bounds are guaranteed with respect to the exact solution, with no reference to any mesh or time discretization.Peer Reviewe
Abstract. We derive energy-norm a posteriori error bounds for an Euler timestepping method combined ...
We consider a space-time variational formulation for linear parabolic partial differential equations...
A method is presented for obtaining explicit upper and lower pointwise bounds for the solution of ra...
The paper introduces a methodology to compute upper and lower bounds for linear-functional outputs o...
Classical implicit residual type error estimators require using an underlying spatial finer mesh to ...
Classical implicit residual type error estimators require using an underlying spatial finer mesh to ...
Summarization: In this paper, we extend reduced-basis output bound methods developed earlier for ell...
AbstractThe process of semi-discretization and waveform relaxation are applied to general nonlinear ...
summary:In contradistinction to former results, the error bounds introduced in this paper are given ...
This paper considers a family of spatially semi-discrete approximations, includ-ing boundary treatme...
This paper considers a family of spatially semi-discrete approximations, includ-ing boundary treatme...
In this paper, a new technique is shown for deriving computable, guaranteed lower bounds of function...
Constrained minimization problems are formulated from a quasilinear parabolic boundary value problem...
We consider a general linear parabolic problem with extended time boundary conditions (including ini...
We present a method for Poisson’s equation that computes guaranteed upper and lower bounds for the v...
Abstract. We derive energy-norm a posteriori error bounds for an Euler timestepping method combined ...
We consider a space-time variational formulation for linear parabolic partial differential equations...
A method is presented for obtaining explicit upper and lower pointwise bounds for the solution of ra...
The paper introduces a methodology to compute upper and lower bounds for linear-functional outputs o...
Classical implicit residual type error estimators require using an underlying spatial finer mesh to ...
Classical implicit residual type error estimators require using an underlying spatial finer mesh to ...
Summarization: In this paper, we extend reduced-basis output bound methods developed earlier for ell...
AbstractThe process of semi-discretization and waveform relaxation are applied to general nonlinear ...
summary:In contradistinction to former results, the error bounds introduced in this paper are given ...
This paper considers a family of spatially semi-discrete approximations, includ-ing boundary treatme...
This paper considers a family of spatially semi-discrete approximations, includ-ing boundary treatme...
In this paper, a new technique is shown for deriving computable, guaranteed lower bounds of function...
Constrained minimization problems are formulated from a quasilinear parabolic boundary value problem...
We consider a general linear parabolic problem with extended time boundary conditions (including ini...
We present a method for Poisson’s equation that computes guaranteed upper and lower bounds for the v...
Abstract. We derive energy-norm a posteriori error bounds for an Euler timestepping method combined ...
We consider a space-time variational formulation for linear parabolic partial differential equations...
A method is presented for obtaining explicit upper and lower pointwise bounds for the solution of ra...