[HTML][HTML] 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 …

[HTML][HTML] A priori and a posterior error estimate of new weak Galerkin finite element methods 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 a new weak Galerkin (WG) finite
element method for the second order elliptic interface problems. Instead of introducing the …

A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations

SA Hassan, C Japhet, M Vohralík - Electronic Transactions on …, 2018 - inria.hal.science
We propose and analyse a posteriori estimates for global-in-time, nonoverlapping domain
decomposition methods for heterogeneous and anisotropic porous media diffusion …

A posteriori error estimates for a compositional two-phase flow with nonlinear complementarity constraints

IB Gharbia, J Dabaghi, V Martin, M Vohralík - Computational Geosciences, 2020 - Springer
In this work, we develop an a posteriori-steered algorithm for a compositional two-phase
flow with exchange of components between the phases in porous media. As a model …

Balanced iterative solvers for linear nonsymmetric systems and nonlinear systems with pde origins: efficient black-box stopping criteria

Pranjal, D Silvester - Journal of Scientific Computing, 2019 - Springer
This paper discusses the design of efficient algorithms for solving linear nonsymmetric
systems and nonlinear systems associated with FEM approximation of elliptic PDEs. The …

[PDF][PDF] Optimal iterative solvers for linear nonsymmetric systems and nonlinear systems with PDE origins: Balanced black-box stopping tests

P Pranjal, DJ Silvester - 2018 - academia.edu
This paper discusses the design of efficient algorithms for solving linear nonsymmetric
systems and nonlinear systems associated with FEM approximation of elliptic PDEs. The …

An optimal iterative solver for symmetric indefinite linear systems with PDE origins: Balanced black-box stopping tests

P Pranjal - 2018 - eprints.maths.manchester.ac.uk
This work discusses the design of efficient algorithms for solving symmetric indefinite linear
systems arising from FEM approximation of PDEs. The distinctive feature of the …