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A Posteriori Error Estimates For The Stokes Problem
 SIAM J. Numer. Anal
, 1991
"... . We derive and analyze an a posteriori error estimate for the minielement discretization of the Stokes equations. The estimate is based on the solution of a local Stokes problem in each element of the finite element mesh, using spaces of quadratic bump functions for both velocity and pressure erro ..."
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Cited by 29 (2 self)
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. We derive and analyze an a posteriori error estimate for the minielement discretization of the Stokes equations. The estimate is based on the solution of a local Stokes problem in each element of the finite element mesh, using spaces of quadratic bump functions for both velocity and pressure
A POSTERIORI ERROR ESTIMATES FOR MAXWELL EQUATIONS
"... Maxwell equations are posed as variational boundary value problems in the function space H(curl) and are discretized by Nédélec finite elements. In [4], a residual type a posteriori error estimator was proposed and analyzed under certain conditions onto the domain. In the present paper, we prove th ..."
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Cited by 29 (3 self)
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Maxwell equations are posed as variational boundary value problems in the function space H(curl) and are discretized by Nédélec finite elements. In [4], a residual type a posteriori error estimator was proposed and analyzed under certain conditions onto the domain. In the present paper, we prove
Implicit a posteriori error estimates for the time harmonic
"... A posteriori error estimates in each subdomain of a finite element tessellation provide the main ingredient of an adaptive finite element procedure. Our implicit error estimate for the time harmonic Maxwell equations gives a lower bound for the exact error and gives sharp estimates for the upper bou ..."
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A posteriori error estimates in each subdomain of a finite element tessellation provide the main ingredient of an adaptive finite element procedure. Our implicit error estimate for the time harmonic Maxwell equations gives a lower bound for the exact error and gives sharp estimates for the upper
A posteriori error estimation for incompressible flow problem
"... This paper describes numerical solutions of incompressible NavierStokes equations. It includes algorithms for discretization by finite element methods and a posteriori error estimation of the computed solutions. A numerical experiment on the driven cavity flow is given to demonstrate the effectiven ..."
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This paper describes numerical solutions of incompressible NavierStokes equations. It includes algorithms for discretization by finite element methods and a posteriori error estimation of the computed solutions. A numerical experiment on the driven cavity flow is given to demonstrate
A posteriori error estimates for boundary element methods
 Math. Comp
, 1995
"... Abstract. This paper deals with a general framework for a posteriori error estimates in boundary element methods which is specified for three examples, namely Symm's integral equation, an integral equation with a hypersingular operator, and a boundary integral equation for a transmission proble ..."
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Cited by 29 (6 self)
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Abstract. This paper deals with a general framework for a posteriori error estimates in boundary element methods which is specified for three examples, namely Symm's integral equation, an integral equation with a hypersingular operator, and a boundary integral equation for a transmission
Some A Posteriori Error Estimators For Elliptic Partial Differential Equations
 MATHEMATICS OF COMPUTATION
, 1985
"... We present three new a posteriori error estimators in the energy norm for finite element solutions to elliptic partial differential equations. The estimators are based on solving local Neumann problems in each element. The estimators differ in how they enforce consistency of the Neumann problems. We ..."
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Cited by 213 (4 self)
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We present three new a posteriori error estimators in the energy norm for finite element solutions to elliptic partial differential equations. The estimators are based on solving local Neumann problems in each element. The estimators differ in how they enforce consistency of the Neumann problems
A POSTERIORI ERROR ESTIMATES FOR MAXWELL EQUATIONS
"... Abstract. Maxwell equations are posed as variational boundary value problems in the function space H(curl) and are discretized by Nédélec finite elements. In Beck et al., 2000, a residual type a posteriori error estimator was proposed and analyzed under certain conditions onto the domain. In the pre ..."
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Abstract. Maxwell equations are posed as variational boundary value problems in the function space H(curl) and are discretized by Nédélec finite elements. In Beck et al., 2000, a residual type a posteriori error estimator was proposed and analyzed under certain conditions onto the domain
IMPLICIT A POSTERIORI ERROR ESTIMATES FOR THE MAXWELL EQUATIONS
"... Abstract. An implicit a posteriori error estimation technique is presented and analyzed for the numerical solution of the timeharmonic Maxwell equations using Nédélec edge elements. For this purpose we define a weak formulation for the error on each element and provide an efficient and accurate num ..."
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Cited by 1 (0 self)
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Abstract. An implicit a posteriori error estimation technique is presented and analyzed for the numerical solution of the timeharmonic Maxwell equations using Nédélec edge elements. For this purpose we define a weak formulation for the error on each element and provide an efficient and accurate
A Posteriori Error Estimate for FrontTracking
, 2001
"... Introduction to Recent Developments in Theory and Numerics for Conservation Laws, volume 5 of Lect. Notes Comput. Sci. Eng., pages 123194. Springer, 1999. [43] E. Tadmor. Local error estimates for discontinuous solutions of nonlinear hyperbolic equations. SIAM J. Numer. Anal., 28(4):891906, 19 ..."
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Cited by 4 (3 self)
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(4):891906, 1991. [44] H. Vailong. A posteriori bounds for linearfunctional outputs of hyperbolic partial di#erential equations. Masters thesis, MIT, 1997. [45] R. Verfurth. A posteriori error estimators for the stokes equations. Numer. Math., 55:309325, 1989. [46] J. von Neumann and R. Richtmyer. A method
Starbased a Posteriori Error Estimator for Convection Diffusion Problems
"... Abstract In this paper, we derive an a posteriori error estimator, for nonconforming finite element approximation of convectiondiffusion equation. The a posteriori error estimator is based on the local problems on stars. Finally, we prove the reliability and the efficiency of the estimator without ..."
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Abstract In this paper, we derive an a posteriori error estimator, for nonconforming finite element approximation of convectiondiffusion equation. The a posteriori error estimator is based on the local problems on stars. Finally, we prove the reliability and the efficiency of the estimator
Results 11  20
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