Reliable and efficient equilibrated a posteriori finite element error control in elastoplasticity and elastoviscoplasticity with hardening

[1]  L. Demkowicz,et al.  Analysis of the equilibrated residual method for a posteriori error estimation on meshes with hanging nodes , 2007 .

[2]  R. Klose.  A posteriori Finite-Elemente-Analysis zur adaptiven Ortsdiskretisierung in der Elastoviskoplastizität , 2006 .

[3]  Antonio Orlando,et al.  Analysis of transfer procedures in elastoplasticity based on the error in the constitutive equations: Theory and numerical illustration , 2004 .

[4]  Thomas J. R. Hughes,et al.  Encyclopedia of computational mechanics , 2004 .

[5]  Susanne C. Brenner,et al.  Chapter 4 Finite Element Methods , 2004 .

[6]  Peter Hansbo,et al.  Time finite elements and error computation for (visco)plasticity with hardening or softening , 2003 .

[7]  Carsten Carstensen,et al.  Averaging techniques for reliable a posteriori FE-error control in elastoplasticity with hardening , 2003 .

[8]  Philippe G. Ciarlet,et al.  The finite element method for elliptic problems , 2002, Classics in applied mathematics.

[9]  Carsten Carstensen,et al.  Elastoviscoplastic Finite Element analysis in 100 lines of Matlab , 2002, J. Num. Math..

[10]  Carsten Carstensen,et al.  An experimental survey of a posteriori Courant finite element error control for the Poisson equation , 2001, Adv. Comput. Math..

[11]  Gregory Seregin,et al.  Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids , 2001 .

[12]  I. Babuska,et al.  The finite element method and its reliability , 2001 .

[13]  J. Oden,et al.  A Posteriori Error Estimation in Finite Element Analysis: Oden/A Posteriori , 2000 .

[14]  Carsten Carstensen,et al.  Numerical Analysis of Time-Depending PrimalElastoplasticity with Hardening , 2000, SIAM J. Numer. Anal..

[15]  Ekkehard Ramm,et al.  A posteriori error estimation and adaptivity for elastoplasticity using the reciprocal theorem , 2000 .

[16]  Susanne C. Brenner,et al.  Finite Element Methods , 2000 .

[17]  C. Carstensen,et al.  Constants in Clément-interpolation error and residual based a posteriori estimates in finite element methods , 2000 .

[18]  J. Oden,et al.  A Posteriori Error Estimation in Finite Element Analysis , 2000 .

[19]  O. C. Zienkiewicz,et al.  Recovery procedures in error estimation and adaptivity. Part II: Adaptivity in nonlinear problems of elasto-plasticity behaviour , 1999 .

[20]  Nicolas Moës,et al.  Constitutive relation error estimators for (visco)plastic finite element analysis with softening , 1999 .

[21]  Rolf Rannacher,et al.  A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity , 1999 .

[22]  R. Verfürth.  A review of a posteriori error estimation techniques for elasticity problems , 1999 .

[23]  Carsten Carstensen,et al.  Numerical analysis of the primal problem of elastoplasticity with hardening , 1999, Numerische Mathematik.

[24]  王东东,et al.  Computer Methods in Applied Mechanics and Engineering , 2004 .

[25]  W. Han,et al.  Plasticity: Mathematical Theory and Numerical Analysis , 1999 .

[26]  Nicolas Moës,et al.  A new a posteriori error estimation for nonlinear time-dependent finite element analysis , 1998 .

[27]  Rolf Rannacher,et al.  A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity , 1998 .

[28]  O. C. Zienkiewicz,et al.  Recovery procedures in error estimation and adaptivity: Adaptivity in non-linear problems of elasto-plasticity behaviour , 1998 .

[29]  Pierre Ladevèze,et al.  A general method for recovering equilibrating element tractions , 1996 .

[30]  P. Ladevèze,et al.  ERROR ESTIMATION AND ADAPTIVITY IN ELASTOPLASTICITY , 1996 .

[31]  Rüdiger Verfürth,et al.  A posteriori error estimation and adaptive mesh-refinement techniques , 1994 .

[32]  David R. Owen,et al.  On error estimates and adaptivity in elastoplastic solids: Applications to the numerical simulation of strain localization in classical and Cosserat continua , 1994 .

[33]  L. R. Scott,et al.  The Mathematical Theory of Finite Element Methods , 1994 .

[34]  Mark Ainsworth,et al.  A posteriori error estimators for second order elliptic systems part 2. An optimal order process for calculating self-equilibrating fluxes , 1993 .

[35]  J. Tinsley Oden,et al.  A posteriori error estimators for second order elliptic systems: Part 1. Theoretical foundations and a posteriori error analysis , 1993 .

[36]  Claes Johnson,et al.  Adaptive finite element methods in computational mechanics , 1992 .

[37]  R. Bank,et al.  Some a posteriori error estimators for elliptic partial differential equations , 1985 .

[38]  Roger Temam,et al.  Mathematical Problems in Plasticity , 1985 .

[39]  Pierre Ladevèze,et al.  Error Estimate Procedure in the Finite Element Method and Applications , 1983 .

[40]  M. Vogelius.  An analysis of thep-version of the finite element method for nearly incompressible materials , 1983 .

[41]  R. Glowinski.  Lectures on Numerical Methods for Non-Linear Variational Problems , 1981 .

[42]  I. Hlavácek,et al.  Mathematical Theory of Elastic and Elasto Plastic Bodies: An Introduction , 1981 .

[43]  Claes Johnson,et al.  A Mixed Finite Element Method for Plasticity Problems with Hardening , 1977 .

[44]  J. Lions,et al.  Inequalities in mechanics and physics , 1976 .

[45]  I. Ekeland,et al.  Convex analysis and variational problems , 1976 .