Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
From MaRDI portal
Publication:957939
DOI10.1007/s00211-008-0168-4zbMath1160.65059OpenAlexW2002812321MaRDI QIDQ957939
Publication date: 1 December 2008
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-008-0168-4
numerical experimentsa posteriori error estimatesadaptive refinementconvection-reaction-diffusion equations
Boundary value problems for second-order elliptic equations (35J25) 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
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods, A priori and a posteriori error analysis of a staggered discontinuous Galerkin method for convection dominant diffusion equations, A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations, A staggered discontinuous Galerkin method for quasi-linear second order elliptic problems of nonmonotone type, A new conservative numerical scheme for flow problems on unstructured grids and unbounded domains, A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media, Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems, An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphase compositional flows in porous media, A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows, A Staggered Discontinuous Galerkin Method of Minimal Dimension on Quadrilateral and Polygonal Meshes, A posteriori error estimates for nonconforming streamline-diffusion finite element methods for convection-diffusion problems, A posteriori error estimates for a compositional two-phase flow with nonlinear complementarity constraints, Adaptive inexact smoothing Newton method for a nonconforming discretization of a variational inequality, A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra, A posteriori error estimates for combined finite volume-finite element discretizations of reactive transport equations on nonmatching grids, Convergences of the squareroot approximation scheme to the Fokker–Planck operator, A nonconforming a posteriori estimator for the coupling of cell-centered finite volume and boundary element methods, A Posteriori Error Analysis of Any Order Finite Volume Methods for Elliptic Problems, Flux reconstruction for the \(P2\) nonconforming finite element method with application to a posteriori error estimation, Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems, A unified framework for a posteriori error estimation for the Stokes problem, Adaptive Vertex-Centered Finite Volume Methods with Convergence Rates, A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation, A posteriori analysis of a positive streamwise invariant discretization of a convection-diffusion equation, Goal-oriented a posteriori error estimation for finite volume methods, A posteriorierror analysis of a cell-centered finite volume method for semilinear elliptic problems, A posteriori error analysis of nonconforming finite volume elements for general second-order elliptic PDEs, Local Flux Reconstructions for Standard Finite Element Methods on Triangular Meshes, A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows, Guaranteed and robusta posteriorierror estimates for singularly perturbed reaction–diffusion problems, A posteriori error estimate for a one-dimensional pollution problem in porous media, Interplay between discretization and algebraic computation in adaptive numerical solutionof elliptic PDE problems, A posteriori error estimates for the time-dependent convection-diffusion-reaction equation coupled with the Darcy system, A posteriori error analysis of nonconforming finite element methods for convection-diffusion problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Guaranteed and fully robust a posteriori error estimates for conforming discretizations of diffusion problems with discontinuous coefficients
- A finite volume scheme for the transport of radionucleides in porous media
- An optimal Poincaré inequality for convex domains
- A mixed finite volume scheme for anisotropic diffusion problems on any grid
- A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems
- A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis
- A control volume method to solve an elliptic equation on a two- dimensional irregular mesh
- A posteriori error estimators for convection-diffusion equations
- An error estimator for a finite volume discretization of density driven flow in porous media
- Estimations a posteriori d'un schéma de volumes finis pour un problème non linéaire. (A posteriori estimates of a finite volume scheme for a nonlinear problem.)
- A posteriori estimators for the finite volume discretization of an elliptic problem
- A note on the Poincaré inequality for convex domains
- A priori and a posteriori analysis of finite volume discretizations of Darcy's equations
- A posteriori error estimator for finite volume methods
- Adaptive finite element methods for elliptic equations with non-smooth coefficients
- A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations
- Balanced a posteriori error estimates for finite-volume type discretizations of convection-dominated elliptic problems
- A residual based error estimator for the mimetic finite difference method
- A posteriorierror estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations
- Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
- On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1
- Guaranteed and robusta posteriorierror estimates for singularly perturbed reaction–diffusion problems
- A priori and a posteriori analysis of non-conforming finite elements with face penalty for advection–diffusion equations
- A posteriori error analysis for locally conservative mixed methods
- Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes
- Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
- A Posteriori Error Estimations of Some Cell Centered Finite Volume Methods for Diffusion-Convection-Reaction Problems
- A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
- Mixed and Hybrid Finite Element Methods
- Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
- Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- From mixed finite elements to finite volumes for elliptic PDEs in two and three dimensions
- A General Framework for Constructing and Analyzing Mixed Finite Volume Methods on Quadrilateral Grids: The Overlapping Covolume Case
- A posteriori error estimates for finite volume and mixed finite element discretizations of convection–diffusion–reaction equations
- A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension
- A posteriori error estimations of some cell-centered finite volume methods
- Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations
- Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
- Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation
- Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods
- On the convergence of the multi‐point flux approximation O‐method: Numerical experiments for discontinuous permeability
- A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
- A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations
- Finite volume approximation of elliptic problems and convergence of an approximate gradient
- Discontinuous Galerkin method applied to a single phase flow in porous media. II