Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Inexpensive guaranteed and efficient upper bounds on the algebraic error in finite element discretizations

Abstract : We present new constructions of (approximate) H(div, Ω)-liftings of the algebraic residual leading to estimators of the algebraic error in h and p finite element discretizations of a model diffusion problem. The estimators provide guaranteed bounds without any uncomputable constants and they are globally efficient, similarly to some recent developments, but the cost of their construction is significantly reduced. We provide a set of numerical experiments to assess the performance of the new estimators.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [27 references]  Display  Hide  Download

https://hal.inria.fr/hal-02422851
Contributor : Jan Papež <>
Submitted on : Wednesday, February 5, 2020 - 11:54:48 AM
Last modification on : Monday, November 16, 2020 - 11:46:10 AM
Long-term archiving on: : Wednesday, May 6, 2020 - 3:27:29 PM

File

Papez_Vohralik_2020.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02422851, version 2

Collections

Citation

Jan Papež, Martin Vohralík. Inexpensive guaranteed and efficient upper bounds on the algebraic error in finite element discretizations. 2020. ⟨hal-02422851v2⟩

Share

Metrics

Record views

93

Files downloads

267