# A-posteriori error estimator

### An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems

**a**

**posteriori**

**error**

**estimator**for hermitian positive eigenvalue ...Having

**a**sharp

**error**

**estimator**for eigenvalues is, in general,

**a**difficult ...3]

**error**...

12

### Local Defect Correction Method coupled with the Zienkiewicz-Zhu a $posteriori$ error estimator in elastostatics Solid Mechanics

**a**multi-disciplinary open access archive for the deposit and dissemination of sci- entific research ...

67

### A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrödinger equations

**a**method to post-process the planewave approx- imation of the eigenmodes of (linear) periodic Schr¨ odinger operators and obtain

**a**much better accuracy for

**a**limited extra computational ...on ...

7

### On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation

**a**large part of the mesh can be refined before entering the resolved ...proposed

**a**novel

**a**

**posteriori**

**error**

**estimator**for the Helmholtz problem with mixed boundary ...

42

### Numerical simulation of metal forming processes with 3D adaptive Remeshing strategy based on a posteriori error estimation

**A**-

**posteriori**

**error**

**estimator**, Transfer techniques, Equilibrated process 1 INTRODUCTION For

**a**large class of problems such as metal forming process like forging, rolling, ...

22

### A posteriori error estimation for the discrete duality finite volume discretization of the Laplace equation

**a**

**posteriori**

**error**estimators that could efficiently drive an adaptive refinement ...(1.1)–(1.3),

**a**

**posteriori**

**error**estimations for conforming Lagrange finite element methods ...

26

### A guaranteed equilibrated error estimator for the A − ϕ and T − Ω magnetodynamic harmonic formulations of the Maxwell system

**a**guaranteed and explicitly computable

**a**

**posteriori**

**error**

**estimator**based on an equilibration technique for the harmonic magnetodynamic formulations of the Maxwell ...residual ...

21

### Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations

**a**

**posteriori**

**error**estimation for Galerkin discretizations of ...the

**error**(we also refer the reader to the numerical experiments presented in Section ...the

**estimator**is used as ...

35

### Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods

**a**

**posteriori**

**error**...still

**a**Neumann boundary one) are ...reaction,

**a**reaction quadrature

**estimator**may be present as ...the

**error**as well, where in particular the ...

37

### A posteriori error estimation based on potential and flux reconstruction for the heat equation

**a**

**posteriori**

**error**estimates for elliptic problems in [12, 13, 30, 31, 32, ...parabolic

**a**

**posteriori**

**error**estimates from elliptic estimates on each time level is rather ...

23

### A Residual a Posteriori Error Estimators for a Model for Flow in Porous Media with Fractures

**a**

**posteriori**

**error**estimates, for such

**a**model in order to introduce an auto- adaptive mesh refinement ...Several

**a**

**posteriori**

**error**estimators for mixed finite ...

29

### Discountinuous Galerkin methods and posteriori error analysis for heterogeneous diffusion problems

**a**spe ial attention to the ase of

**a**heterogeneous and anisotropi diusion tensor K ; it turns out that some fully robust results with respe t to diusion heterogenei ties an be obtained for our new ...

136

### A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations

**a**starting point, we consider the classical diffusion equation and observe that, although the approach presented in [18, Chapter 8] is guaranteed, it remains difficult to prove the local efficiency of the ...

38

### Certified Descent Algorithm for shape optimization driven by fully-computable a posteriori error estimators

**a**

**posteriori**

**error**estimators to shape optimization ...numerical

**error**: on the one hand, the

**error**arising from the approximation of the diﬀerential problem and on the other ...

31

### Numerical simulation of metal forming processes with 3D adaptive Remeshing strategy based on a posteriori error estimation

**error**in constitu- tive relation, initiated by Ladvéze et ...residual

**estimator**proposed by Babuška and Rheinbold [ 14 ] is mathe- matically rigorous, its extension to 3D nonlinear problems is facing ...

19

### Residual-based a posteriori error estimation for stochastic magnetostatic problems

**error**

**estimator**has been developed for an approxi- mation in the stochastic dimension based on

**a**truncated polynomial chaos ...proposed

**error**

**estimator**can be used to ...

33

### A posteriori error estimation for stochastic static problems

**estimator**and of the MCSM estimated stochastic ...-The

**estimator**and the stochastic

**error**estimated by the MSCM are very ...stochastic

**error**is the same with di fferent orders of ...3) ...

5

### Asymptotically constant-free, p-robust and guaranteed a posteriori error estimates for the Helmholtz equation

**a**multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they ...

81

### Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems

**a**system of nonlinear equations, and, in practice, is solved using an iterative method involving some kind of ...at

**a**given stage of the iterative process and on

**a**given mesh, there are actually ...

25

### Enhanced error estimator based on a nearly equilibrated moving least squares recovery technique for FEM and XFEM

**a**new technique aimed to obtain accurate estimates of the

**error**in energy norm using

**a**moving least squares (MLS) recovery-based pro- cedure is ...of

**a**recovery technique based on an ...

36