A posteriori error estimator for a multiscale hybrid mixed method for Darcy's flows
From MaRDI portal
Publication:6092237
DOI10.1002/nme.7103MaRDI QIDQ6092237
Sônia M. Gomes, Denise de Siqueira, Philippe Remy Bernard Devloo, Unnamed Author
Publication date: 23 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
An adaptive global-local generalized FEM for multiscale advection-diffusion problems, A posteriori error estimates for primal hybrid finite element methods applied to Poisson problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A family of Multiscale Hybrid-Mixed finite element methods for the Darcy equation with rough coefficients
- Non-uniform order mixed FEM approximation: implementation, post-processing, computable error bound and adaptivity
- Mathematical aspects of discontinuous Galerkin methods.
- A framework for obtaining guaranteed error bounds for finite element approximations
- Equilibrated residual error estimates are \(p\)-robust
- A multiscale hybrid method for Darcy's problems using mixed finite element local solvers
- High-order composite finite element exact sequences based on tetrahedral-hexahedral-prismatic-pyramidal partitions
- Orientation embedded high order shape functions for the exact sequence elements of all shapes
- Implementation of continuous \(hp\)-adaptive finite element spaces without limitations on hanging sides and distribution of approximation orders
- Poincaré-Friedrichs type constants for operators involving grad, curl, and div: theory and numerical experiments
- A remark concerning divergence accuracy order for \(\mathbf H(\operatorname{div})\)-conforming finite element flux approximations
- Two-dimensional \(hp\) adaptive finite element spaces for mixed formulations
- A multiscale mixed finite element method applied to the simulation of two-phase flows
- A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows
- $hp$-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems
- A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes
- Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
- A posteriori error analysis for locally conservative mixed methods
- A Posteriori Error Estimation for Lowest Order Raviart–Thomas Mixed Finite Elements
- A‐posteriori error estimates for the finite element method
- Mixed Finite Element Methods and Applications
- Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling
- The Prager–Synge theorem in reconstruction based a posteriori error estimation
- NewH(div)-conforming multiscale hybrid-mixed methods for the elasticity problem on polygonal meshes
- An Adaptive Multiscale Finite Element Method
- Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations
- Finite element quasi-interpolation and best approximation
