a posteriori error bounds
An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems
... an a posteriori error estimator for hermitian positive eigenvalue ...Having a sharp error estimator for eigenvalues is, in general, a difficult ...3] error estimators are ...
12
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 ...
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A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS
... Upper bounds of the ...upper bounds for the errors between the solution of the last introduced problem and the exact solution firstly and the discrete solution ...the a posteriori error ...
17
A posteriori error estimation for the discrete duality finite volume discretization of the Laplace equation
... in a way such that ˜ Φ j ...edges A j . 5.3. Bounds for the higher-order terms. Since the a priori estimations ob- tained in [13] show that the error norm e behaves like O(h) when the ...
26
Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework
... Our bounds from Section 6 achieve this and we have seen in Section 7 that three common nonconforming numerical methods fit perfectly the ...different error components, and yield (local) adaptive stopping ...
36
Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
... our a posteriori error ...still a Neumann boundary one) are ...reaction, a reaction quadrature estimator may be present as ...lower bounds for the error as well, where in ...
37
Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity
... the a posteriori error estimate in Section 4 and prove that this error estimate is e cient, meaning that, up to a generic constant, it is also a local lower bound for the ...
23
A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT NAVIER-STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS
... and we conclude by using the regularity of the family of partitions. 2) We derive the result from formula (4.12) with v h = C nh v, by using the Cauchy–Schwarz inequality, the proprties of C nh and the continuity of the ...
17
A Posteriori Error Estimates for Biot System using Enriched Galerkin for Flow
... derive error equalities for each iteration of the fixed-stress algorithm at each time step, followed by residual-based a posteriori error ...and a priori error estimates for the ...
66
Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: conforming approximations
... derives a posteriori error estimates for conforming numerical approximations of the Laplace eigenvalue problem with a homogeneous Dirichlet boundary ...lower bounds for an arbitrary ...
26
A posteriori error estimation based on potential and flux reconstruction for the heat equation
... only error upper bounds are considered. Some other results on a posteriori error estimates for parabolic problems in a conforming setting can also be found in [24] using the ...
23
A-Posteriori bounds on linear functionals of coercive 2nd order PDEs using discontinuous Galerkin methods
... In this thesis, we extend current capabilities in producing error bounds on the exact linear functionals of linear partial differential equations in a number of w[r] ...
132
Discountinuous Galerkin methods and posteriori error analysis for heterogeneous diffusion problems
... both reliable (yield an upper bound on the dieren
e between the exa
t and approximate solution) and lo
ally e
ient (give lo
al lower bounds for the error as well), there is, in our opinion, still room for ...
136
A Residual a Posteriori Error Estimators for a Model for Flow in Porous Media with Fractures
... derive 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 ...
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Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis
... an a posteriori error estimate based on stress tensor functions which are reconstructed from the discrete stress tensor such that they verify both of the above ...equilibrated-flux a ...
9
A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS
... Upper bounds of the ...upper bounds for the errors between the solution of the last introduced problem and the exact solution firstly and the discrete solution ...the a posteriori error ...
17
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
... residual-based a posteriori energy (semi)norm error estimates for DG methods can be traced back to ...for a unified ...lower bounds for the error as well), they feature various ...
27
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters
... good a posteriori estimates have been proposed for elliptic source problems, based for example on the theory of equilibrated fluxes for the Laplace source problem following Prager and Synge [39], see [33, ...
40
A Posteriori Error Analysis of the Method of Characteristics
... lower bounds for the terms ku−u τ k X(0,T ) and ku τ −u I k X(0,T ) ...to error estimates which are not fully robust with respect to the relative sizes of diffusion, convection and ...
24
Quantitative a posteriori error estimators in Finite Element-based shape optimization
... meaning a genuine descent direction is computed at each iteration of the ...identify a genuine descent direction, whereas the number of Degrees of Freedom increases when approaching a minimum of the ...
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