Strict lower bounds with separation of sources of error in non-overlapping domain decomposition methods

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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A strict error bound with separated contributions of the discretization and of the iterative solver in non-overlapping domain decomposition methods
Fast estimation of discretization error for FE problems solved by domain decomposition
Study of the strong prolongation equation for the construction of statically admissible stress fields: implementation and optimization
Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free method
Strict upper error bounds on computed outputs of interest in computational structural mechanics
Upper error bounds on calculated outputs of interest for linear and nonlinear structural problems
Non-overlapping domain decomposition methods in structural mechanics
A Rayleigh-Ritz preconditioner for the iterative solution to large scale nonlinear problems
A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
Strict bounding of quantities of interest in computations based on domain decomposition
A unified approach to remeshing strategies for finite element \(h\)-adaptivity
On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
A posteriori estimation and adaptive control of the error in the quantity of interest. I: A posteriori estimation of the error in the von Mises stress and the stress intensity factor
The two-level FETI method for static and dynamic plate problems I: An optimal iterative solver for biharmonic systems
Iterative accelerating algorithms with Krylov subspaces for the solution to large-scale nonlinear problems
Subdomain-based flux-free a posteriori error estimators
Local error estimates of FEM for displacements and stresses in linear elasticity by solving local Neumann problems.
On the techniques for constructing admissible stress fields in model verification: Performances on engineering examples
Total and selective reuse of Krylov subspaces for the resolution of sequences of nonlinear structural problems
A constitutive relation error estimator based on traction-free recovery of the equilibrated stress
Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error
Guaranteed energy error bounds for the Poisson equation using a flux-free approach: Solving the local problems in subdomains
Error Estimate Procedure in the Finite Element Method and Applications
Analysis of Augmented Krylov Subspace Methods
Recovering lower bounds of the error by postprocessing implicit residuala posteriorierror estimates
Goal-oriented error estimation and adaptivity for the finite element method