a posteriori error estimates
A posteriori error estimates for combined finite volume–finite element discretizations of reactive transport equations on nonmatching grids
... on a posteriori error estimates for finite element discretizations of steady convection–diffusion–reaction problems are those of Angermann [ 2 ] and of Eriksson and John- son [ 9 ...diffusion. ...
27
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
... study a posteriori error estimates for convection–diffusion–reaction prob- lems with inhomogeneous and anisotropic diffusion approximated by weighted interior- penalty discontinuous Galerkin ...
27
Anasymptotic behavior and a posteriori error estimates for the generalized overlapping domain decomposition method for a class of the advection -diffussion equations
... an a posteriori error estimates for the generalized overlapping domain decomposition method with Dirichlet boundary conditions on the boundaries for the discrete so- lutions on subdomains for ...
85
Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems
... derive a posteriori error estimates for a class of second-order monotone quasi-linear diffusion-type problems approximated by piecewise affine, continuous finite ...Our estimates ...
25
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation
... POSTERIORI ERROR ESTIMATES FOR THE HELMHOLTZ EQUATION ? ..., A. ERN 3,4 , AND M. VOHRAL´IK 4,3 Abstract. We propose a novel a posteriori error estimator for ...
42
Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
... develop a sufficiently general and unified framework for a posteriori error estimation in the finite volume method, and, in a larger sense, in any locally conservative ...derived ...
37
A Posteriori error estimates combined with the asymptotic behavior for a generalized domain decomposition method in evolutionary PDEs
... the a priori estimate for stationary problems is not suitable for assessing the quality of the approximate solutions on subdomains, since it depends mainly on the exact solution itself, which is ...as a ...
59
A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations
... analyse a posteriori error estimates for the discretization of the neutron diffusion equations with mixed finite ...on a base block equation, the one-group neutron diffusion ...exhibit ...
38
A posteriori error estimates for the effective Hamiltonian of dislocation dynamics
... in a first order non-local Hamilton-Jacobi equation describing dislocation ...as a visco-plastic law in mechanics (see also [19] for a section on the mechanical ...define a numerical scheme ...
41
A posteriori error estimates for combined finite volume-finite element discretizations of reactive transport equations on nonmatching grids
... on a posteriori error estimates for finite element discretizations of steady convection–diffusion–reaction problems are those of Angermann [ 2 ] and of Eriksson and John- son [ 9 ...diffusion. ...
27
A posteriori error estimates and adaptivity based on stopping criteria and adaptive mesh re finement for multiphase and thermal flows. Application to steam-assisted gravity drainage
... derive a posteriori error estimates for the isothermal compositional model of the multiphase Darcy flow in porous media, consisting of a system of strongly coupled non- linear unsteady ...
192
A Posteriori Error Estimates for Biot System using Enriched Galerkin for Flow
... residual error indicators that are easily incorporated in the ...derived a posteriori estimates for fully mixed formulations of Biot model for both the monolithic scheme and the fixed-stress ...
66
Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem
... p-ROBUST A POSTERIORI ERROR ESTIMATES BY BROKEN PATCHWISE EQUILIBRATION FOR THE CURL–CURL PROBLEM ? ...in a patch of tetra- hedra sharing an ...the a posteriori ...
38
Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations
... residual-based a posteriori error estimators for Galerkin-type dis- cretizations of time-harmonic Maxwell’s ...to a resonance frequency, and derive reliability and efficiency ...our ...
35
A posteriori error estimates for finite element discretizations of time-harmonic Maxwell's equations coupled with a non-local hydrodynamic Drude model
... propose a novel a posteriori error estimator for finite element discretizations of the Maxwell-NHD system in general three-dimensional ...is a detailed mathematical analysis of the ...
33
An adaptive finite element method for the wave equation based on anisotropic a posteriori error estimates in the L2(H1) norm
... the error due to time dis
retization be
omes asymptoti
ally ...the error is divided by two ea
h time T OL is, the number of verti
es of the nal mesh is multiplied by four and the number of remeshings is ...
26
Asymptotically constant-free, p-robust and guaranteed a posteriori error estimates for the Helmholtz equation
... A posteriori error estimation of hp − dG finite element methods for highly indefinite Helmholtz problems. Recent works using equilibrated fluxes: S. Congreve, J. Gedicke, I. Perugia, SIAM J. Sci. ...
81
Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem
... M. A stable finite element for the Stokes ...C. A unified approach for Uzawa ...D. A posteriori error estimates for the Stokes ...
35
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
... paper a unified framework for a priori and a posteriori error analysis of mixed finite element discretizations of second-order elliptic ...in a straightforward manner and under ...
32
A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS
... the a posteriori estimates to the more realistic case of mixed boundary ...propose a very standard low cost discretization relying on the Euler’s implicit scheme in time combined with finite ...
17