\textit{A posteriori} error estimates for hierarchical mixed-dimensional elliptic equations
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Publication:6087385
DOI10.1515/jnma-2022-0038arXiv2101.08331OpenAlexW3125303363MaRDI QIDQ6087385
Elyes Ahmed, Jhabriel Varela, Jan Martin Nordbotten, Florin Adrian Radu, Eirik Keilegavlen
Publication date: 11 December 2023
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.08331
Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) PDEs in connection with geophysics (35Q86) Numerical analysis (65-XX)
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- An optimal Poincaré inequality for convex domains
- A posteriori estimates for partial differential equations
- Mixed finite elements in \(\mathbb{R}^3\)
- A note on the Poincaré inequality for convex domains
- On how Poincaré inequalities imply weighted ones
- A review of a posteriori error estimation techniques for elasticity problems
- An introduction to multipoint flux approximations for quadrilateral grids
- Computable majorants of constants in the Poincaré and Friedrichs inequalities
- Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot's consolidation model
- Guaranteed \textit{a posteriori} error estimates for a fractured porous medium
- Functional a posteriori error estimates for boundary element methods
- Stable mixed finite elements for linear elasticity with thin inclusions
- Poincaré-Friedrichs type constants for operators involving grad, curl, and div: theory and numerical experiments
- PorePy: an open-source software for simulation of multiphysics processes in fractured porous media
- A reduced fracture model for two-phase flow with different rock types
- Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems
- A residual \textit{a posteriori} error estimators for a model for flow in porous media with fractures
- A residual-based a posteriori error estimator for single-phase Darcy flow in fractured porous media
- Unified approach to discretization of flow in fractured porous media
- Functional analysis and exterior calculus on mixed-dimensional geometries
- Mixed virtual element methods for general second order elliptic problems on polygonal meshes
- A reduced model for Darcy’s problem in networks of fractures
- A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
- Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
- A Local Error Estimate for the Poisson Equation with a Line Source Term
- A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis
- On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1
- Two‐Sided A Posteriori Error Estimates for Mixed Formulations of Elliptic Problems
- ON THE COUPLING OF 1D AND 3D DIFFUSION-REACTION EQUATIONS: APPLICATION TO TISSUE PERFUSION PROBLEMS
- A Posteriori Error Estimation for Lowest Order Raviart–Thomas Mixed Finite Elements
- A Posteriori Error Estimates for Finite Volume Approximations
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Error Estimates for Adaptive Finite Element Computations
- Hierarchical A Posteriori Error Estimators for Mortar Finite Element Methods with Lagrange Multipliers
- Mixed Finite Element Methods on Nonmatching Multiblock Grids
- Robust Discretization of Flow in Fractured Porous Media
- Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems
- Mixed Finite Element Methods and Applications
- Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling
- Weighted Poincare inequalities
- A posteriori error estimation for variational problems with uniformly convex functionals
- An Introduction to Multi-point Flux (MPFA) and Stress (MPSA) Finite Volume Methods for Thermo-poroelasticity
- Solution Theory, Variational Formulations, and Functional a Posteriori Error Estimates for General First Order Systems with Applications to Electro-Magneto-Statics and More
- Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations
- Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
- A posterioriError Estimates For the3D Stabilized Mortar Finite Element Method applied to the Laplace Equation
- A Posteriori Error Estimates for the Mortar Mixed Finite Element Method
- Flux-Mortar Mixed Finite Element Methods on NonMatching Grids
- Nonlinear problems of elasticity
- Goal-oriented error estimation and adaptivity for the finite element method