Residual a Posteriori Error Estimates for the Mixed Finite Element Method

Keywords

Mathematics, Scalar (mathematics), Upper and lower bounds, A priori and a posteriori, Applied mathematics

References

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• A posteriori error estimate for the mixed finite element methodCarsten Carstensen — 1997
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• A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional ProblemsIvo Babuška, Werner C. Rheinboldt — 1981
• Mixed finite element methods for quasilinear second-order elliptic problemsFabio Milner — 1985
• Adaptive finite element methods for parabolic problems. I.: a linear model problemKenneth Eriksson, Claes Johnson — 1991
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• A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elementsBarbara Wohlmuth, Ronald H. W. Hoppe — 1999
• Adaptive finite element methods for conservation laws based on a posteriori error estimatesClaes Johnson, Anders Szepessy — 1995
• A Feed-Back Approach to Error Control in Finite Element Methods: Basic Analysis and ExamplesRoland Becker, Rolf Rannacher — 1996
• A Posteriori Error Estimation in Finite Element AnalysisMark Ainsworth, J. Tinsley Oden — 2000
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Cited by

• Residual-based a posteriori error estimation for multipoint flux mixed finite element methodsShaohong Du, Shuyu Sun, Xiaoping Xie — 2013
• Finite element methods in linear poroelasticity: theoretical and computational resultsMary F. Wheeler, Phillip Joseph Phillips — 2005
• A posteriori error estimates for H 1-Galerkin mixed finite-element method for parabolic problemsMadhusmita Tripathy, Rajen Kumar Sinha — 2013
• A posteriori error estimation of the representer method for single-phase Darcy flowJohn Baird, Clint Dawson — 2007
• A Posteriori Error Estimates for the Mortar Mixed Finite Element MethodMary F. Wheeler, Ivan Yotov — 2005
• On residual-based a posteriori error estimators for lowest-order Raviart-Thomas element approximation to convection-diffusion-reaction equationsShaohong Du null, Xiaoping Xie — 2013
• A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction EquationsMartin Vohralı́k — 2007
• A new residual posteriori error estimates of mixed finite element methods for convection‐diffusion‐reaction equationsShaohong Du — 2014
• Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methodsMartin Vohralı́k — 2010
• A posteriori error estimates of mixed methods for miscible displacement problemsYanping Chen, Wenbin Liu — 2008
• Numerical analysis of the representer method applied to reservoir modelingJohn Isaac Baird — 2006
• On the Convergence of H1-Galerkin Mixed Finite Element Method for Parabolic ProblemsM. Tripathy — 2008
• Estimations d'erreur a posteriori et critères d'arrêt pour des solveurs par décomposition de domaine et avec des pas de temps locauxS. Hassan — 2017
• A posteriori error estimates and stopping criteria for solvers using the domain decomposition method and with local time steppingSarah Ali Hassan — 2017
• A posteriori error estimates of the weak Galerkin finite element methods for parabolic problemsJiajia Dai, Luoping Chen, Miao Yang — 2024
• A Posteriori Error Estimates of Mixed Methods for Two Phase Flow ProblemsYanping Chen — 2005
• A PRIORI AND A POSTERIORI ERROR ANALYSIS OF MIXED FINITE ELEMENT METHODSMartin Vohral´ık

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