An adaptive finite element method for linear elliptic problems

Keywords

Finite element method, Mathematics, Polygon mesh, Mixed finite element method, Norm (philosophy)

References

• A-Posteriori Error Estimates and Adaptive Techniques for the Finite Element Method.Ivo Babuška, Anthony D. Miller — 1981
• Accuracy estimates and adaptive refinements in finite element computationsIvo Babuška — 1986
• An adaptive finite element procedure for compressible high speed flowsR. Löhner, K. Morgan, O. C. Zienkiewicz — 1985
• Error estimates and automatic time step control for nonlinear parabolic problems, IKenneth Eriksson, Claes Johnson — 1987
• Maximum norm estimates in the finite element method on plane polygonal domains. IA. H. Schatz, Lars B. Wahlbin — 1978
• Error Estimates and Adaptive Time-Step Control for a Class of One-Step Methods for Stiff Ordinary Differential EquationsClaes Johnson — 1988
• Some Optimal Error Estimates for Piecewise Linear Finite Element ApproximationsRolf Rannacher, Ridgway Scott — 1982
• On an h-type mesh-refinement strategy based on minimization of interpolation errors☆L. Demkowicz, Ph. Devloo, J. Tinsley Oden — 1985
• Maximum norm estimates in the finite element method on plane polygonal domains. II. RefinementsA. H. Schatz, Lars B. Wahlbin — 1979
• Geometrically nonlinear analysis of layerwise anisotropic shell structures by hybrid strain based lower order elementsC.W.S. To, M.L. Liu — 1987
• A method of grid optimization for finite element methodsAlejandro R. Díaz, Noboru Kikuchi, John E. Taylor — 1983
• Some Optimal Error Estimates for Piecewise Linear Finite Element ApproximationsRolf Rannacher, Ridgway Scott — 1982
• Optimal Error Estimates and Adaptive Time and Space Step Control for Linear Parabolic ProblemsK. Eriksson, Claes Johnson, J. Lennblad — 1987

Cited by

• 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
• A posteriori error estimators for the Stokes equations II non-conforming discretizationsR. Verf�rth — 1991
• The Estimation of the Cavity Effect by Higher Degree Finite Element ApproximationP. Kostecký, Igor Kohút — 1998
• Adaptive DNS/LES : a new agenda in cfdJohan Hoffman, Claes Johnson — 2004
• Vectorizable algorithms for adaptive schemes for rapid analysis of SSME flowsJ. Tinsley Oden — 1987
• Adaptive Discontinuous Galerkin Finite Element Methods for Second and Fourth Order Elliptic Partial Differential EquationsMichael Saum — 2006
• Adaptive Algorithms for Deterministic and Stochastic Differential EquationsKyoung-Sook Moon — 2003
• Computing the Spectrum of the Confined Hydrogen AtomKarl Kastner — 2012
• Structural and sensitivity analysis for the primal and dual problems in the physical and material spacesDaniel Materna — 2009
• A POSTERIORI ERROR ESTIMATES OF FINITE ELEMENT METHOD FOR PARABOLIC PROBLEMS陈艳萍 — 1999
• A posteriori finite element bounds for linear-functional outputs of coercive partial differential equations and of the Stokes problemMarius Paraschivoiu — 1997
• Adaptividad tridimensional con mallas no estructuradasRoberto Saliba, Marcelo Vénere, Raúl A. Feijóo — 1997
• A posteriori error control in radiative transferChristian Führer, Guido Kanschat — 1997
• An adaptive finite element method for the compressible Euler equationsMurtazo Nazarov, Johan Hoffman — 2009
• Automated adaptive error control in finite element methods using the error representation as error indicatorJohan Jansson, Johan Hoffman, Cem Degirmenci — 2014
• Adaptive stable finite-element methods for the compressible Navier-Stokes equationsPhilip John Capon — 1996
• Stable and High-Order Finite Difference Methods for Multiphysics Flow ProblemsJens Berg — 2013
• A POSTPROCESSED ERROR ESTIMATION IN THE FINITE ELEMENT ANALYSISRomualdas Baušys — 1998
• Adaptive coupling of boundary elements and finite elementsCarsten Carstensen, Ernst P. Stephan — 1995

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