A posteriori error estimator for a multiscale hybrid mixed method for Darcy's flows
GA Batistela, D de Siqueira… - International Journal …, 2022 - Wiley Online Library
This article presents a computable and efficient procedure for a posteriori error estimations
of approximate solutions of Darcy's flows given by a Multiscale Hybrid Mixed method. Based …
of approximate solutions of Darcy's flows given by a Multiscale Hybrid Mixed method. Based …
Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers
We derive a unified framework for goal-oriented a posteriori estimation covering in particular
higher-order conforming, nonconforming, and discontinuous Galerkin finite element …
higher-order conforming, nonconforming, and discontinuous Galerkin finite element …
Sharp algebraic and total a posteriori error bounds for h and p finite elements via a multilevel approach. Recovering mass balance in any situation
We present novel H (div) and H 1 liftings of given piecewise polynomials over a hierarchy of
simplicial meshes, based on a global solve on the coarsest mesh and on local solves on …
simplicial meshes, based on a global solve on the coarsest mesh and on local solves on …
Anisotropic a posteriori error estimate for the virtual element method
PF Antonietti, S Berrone, A Borio… - IMA Journal of …, 2022 - academic.oup.com
We derive an anisotropic a posteriori error estimate for the adaptive conforming virtual
element approximation of a paradigmatic two-dimensional elliptic problem. In particular, we …
element approximation of a paradigmatic two-dimensional elliptic problem. In particular, we …
Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes
L Mu - Journal of Computational and Applied Mathematics, 2019 - Elsevier
In this paper, we present a posteriori error estimate of weak Galerkin (WG) finite element
methods based on the second order elliptic interface problems. This estimate can be applied …
methods based on the second order elliptic interface problems. This estimate can be applied …
A posteriori error estimates for the time-dependent convection-diffusion-reaction equation coupled with the Darcy system
In this article, we consider the time-dependent convection-diffusion-reaction equation
coupled with the Darcy equation. We propose a numerical scheme based on finite element …
coupled with the Darcy equation. We propose a numerical scheme based on finite element …
The Prager–Synge theorem in reconstruction based a posteriori error estimation
FBD Boffi - 75 Years of Mathematics of Computation: Symposium …, 2020 - books.google.com
In this paper we review the hypercircle method of Prager and Synge. This theory inspired
several studies and induced an active research in the area of a posteriori error analysis. In …
several studies and induced an active research in the area of a posteriori error analysis. In …
A posteriori error estimates for mixed virtual element methods
A Cangiani, M Munar - arXiv preprint arXiv:1904.10054, 2019 - arxiv.org
We present an a posteriori error analysis for the mixed virtual element method (mixed VEM)
applied to second order elliptic equations in divergence form with mixed boundary …
applied to second order elliptic equations in divergence form with mixed boundary …
Adaptive timestepping, linearization, and a posteriori error control for multiphase flow of immiscible fluids in porous media with wells
This work focuses on the development of adaptive timesteps, stopping criteria, and error
control strategies for reservoir simulations with fully implicit (FIM) solvers. Using a rigorous …
control strategies for reservoir simulations with fully implicit (FIM) solvers. Using a rigorous …
[HTML][HTML] A posteriori-based, local multilevel mesh refinement for the Darcy porous media flow problem
S Yousef - Journal of Computational and Applied Mathematics, 2025 - Elsevier
In this work we develop an a posteriori-based adaptive local multilevel mesh refinement
strategy for the Darcy porous media flow problem discretized with the finite volume method …
strategy for the Darcy porous media flow problem discretized with the finite volume method …