A simple error estimator and adaptive procedure for practical engineerng analysis

Keywords

Estimator, Simple (philosophy), Computer science, Finite element method, Process (computing)

References

• Hierarchical Finite Element Approaches Error Estimates and Adaptive RefinementO.C. Zienkiewicz, DW Kelly, J. P. De S. R. Gago — 1981
• Adaptive remeshing for compressible flow computationsJ. Peraire, Mehdi Vahdati, K. Morgan — 1987
• Iterative solution of mixed problems and the stress recovery proceduresO. C. Zienkiewicz, Xikui Li, S. Nakazawa — 1985
• The hierarchical concept in finite element analysisO. C. Zienkiewicz, J. P. De S. R. Gago, Donald W. Kelly — 1983
• A posteriori error analysis and adaptive processes in the finite element method: Part II—adaptive mesh refinementJ. P. De S. R. Gago, Donald W. Kelly, O. C. Zienkiewicz — 1983
• Adaptive approaches and reliability estimations in finite element analysisIvo Babuška, Werner C. Rheinboldt — 1979
• ITERATIVE METHOD FOR CONSTRAINED AND MIXED APPROXIMATION. AN INEXPENSIVE IMPROVEMENT OF F.E.M. PERFORMANCEO. C. Zienkiewicz, Jean‐Pierre Vilotte, Shiro Toyoshima — 1985
• A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysisDonald W. Kelly, J. P. De S. R. Gago, O. C. Zienkiewicz — 1983
• Mathematics of finite elements and applications IV1983
• Adaptive Analysis Refinement and Shape Optimization—Some New PossibilitiesO. Zienkiewicz, A. Craig, Jizhong Zhu — 1986
• A–POSTERIORI ERROR ESTIMATION, ADAPTIVE MESH REFINEMENT AND MULTIGRID METHODS USING HIERARCHICAL FINITE ELEMENT BASESA. Craig, J. Z. Zhu, O. Zienkiewicz — 1985

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• Adaptive finite volume element method for convection-diffusion-reaction problems in 3-DRaytcho Lazarov, Stanimire Tomov — 2001
• A Posteriori Error Estimates for Finite Volume Element Approximations of Convection–Diffusion–Reaction EquationsRaytcho Lazarov, Stanimire Tomov — 2002
• Fully Automatic Adaptive Mesh Refinement Integrated into the Solution ProcessJoseph R. Tristano, Zhijian Chen, D. Alfred Hancq — 2003
• Bilayer-thickness-mediated interactions between integral membrane proteins.E. S. Levinsky, Robert H. Schappelle, A. A. Mcclain — 2016
• Recovery type a posteriori error estimates in finite element methodsZhimin Zhang, Ningning Yan — 2001
• Modeling thin films applying an extended continuum theory based on a scalar-valued order parameter.: Part I: isothermal caseHolger Steeb, Stefan Diebels — 2004
• Space-time adaptation for purely diffusive problems in an anisotropic frameworkStefano Micheletti, Simona Perotto — 2008
• Single Level Adaptive hp-Refinement using Integrals of Legendre Shape FunctionJun-Hyung Jo, Hyo-Jin Yoo, Kwang-Sung Woo — 2010
• Nonlinear Numerical Methods to Analyze Ground Flow and Soil-Pile Interaction in Liquefiable SoilXiaowei Tang — 2004
• A Posteriori Error Estimators for Elliptic Equations with Discontinuous CoefficientsMartin Petzoldt — 2002
• Proximity maneuvering of libration point orbit formations using adapted finite element methodsLaura García-Taberner — 2010
• Adaptive finite element analysis of mixed-mode fracture problems containing multiple crack-tips with an automatic mesh generatorK.S.R.K. Murthy, Mayukh Mukhopadhyay — 2001
• Radionuclide Transport in a Water-Saturated Planar Fracture with Bentonite ExtrusionR.A. Borrelli, Joonhong Ahn — 2008
• Automated Solution of Differential Equations by the Finite Element Method: The FEniCS BookAnders Logg, Kent‐André Mardal, Garth N. Wells — 2012
• ADAPTIVE REFINEMENT AND MULTISCALEMODELING IN 2D PERIDYNAMICSFlorin Bobaru, Youn Doh Ha — 2011
• H-Adaptive Local Radial Basis Function Collocation Meshless MethodGregor Kosec, Božidar Šarler — 2011
• Approaches to accommodate remeshing in shape optimizationDaniël N. Wilke — 2011
• Une méthode simple d'adaptation des maillages pour le calcul des écoulements compressiblesAzzeddine Soulaïmani, Daniel Speich Chassé, Louis Lamarche — 1995
• Estimation d'erreur de discrétisation dans les calculs par décomposition de domaineAugustin Parret-Fréaud — 2011
• Développements d’indicateurs de qualité dans la modélisation des ouvrages géotechniques par la méthode des éléments finis : applications aux soutènementsC. Vulpe — 2011

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