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Error-controlled Adaptive Finite Elements in Solid Mechanics

E. Stein, Ekkehard Ramm

Open publisher page 126 citations

Abstract

Preface. Introduction (E. Stein). Error Estimation and Adaptive Mesh Design for FE Models in Elasto Plasticity Theory (R. Rannacher and F. Suttmeier). Adaptive FEM for Elasto plastic Deformations (E. Stein and M. Schmidt). Numerical Simulation of Localization Phenomena in Geomechanics by Entended Continuum Formulations (W. Wunderlich, et al.). Adaptive Methods for Contact Problems (A. Rieger, et al.). An Adaptive Boundary Element Method for Contact Problems (C. Eck, et al.). Goal Oriented Error Estimation in Solid Mechanics (H. Steeb, et al.). The p version of the Finite Element Method for Structural Problems (E. Rank, et al.). Adaptive Analysis of Plate and Shell Structures Under Transient Loading (K. Schweizerhof, et al.). The Application of Adaptive Parallel Multigrid Methods to Problems in Nonlinear Solid Mechanics (S. Lang, et al.). Benchmarks (E. Stein, et al.). Index.

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What this paper is about

Preface. Introduction (E. Stein). Error Estimation and Adaptive Mesh Design for FE Models in Elasto Plasticity Theory (R. Rannacher and F. Suttmeier). Adaptive FEM for Elasto plastic Deformations (E. Stein and M. Schmidt). Numerical Simulation of Localization Phenomena in Geomechanics by Entended Continuum Formulations (W. Wunderlich, et al.). Adaptive Methods for Contact Problems (A. Rieger, et al.). An Adaptive Boundary Element Method for Contact Problems (C. Eck, et al.). Goal Oriented Error Estimation in Solid Mechanics (H. Steeb, et al.). The p version of the Finite Element Method for Structural Problems (E. Rank, et al.). Adaptive Analysis of Plate and Shell Structures Under Transient Loading (K. Schweizerhof, et al.). The Application of Adaptive Parallel Multigrid Methods to Problems in Nonlinear Solid Mechanics (S. Lang, et al.). Benchmarks (E. Stein, et al.). Index.

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Available abstract

Preface. Introduction (E. Stein). Error Estimation and Adaptive Mesh Design for FE Models in Elasto Plasticity Theory (R. Rannacher and F. Suttmeier). Adaptive FEM for Elasto plastic Deformations (E. Stein and M. Schmidt). Numerical Simulation of Localization Phenomena in Geomechanics by Entended Continuum Formulations (W. Wunderlich, et al.). Adaptive Methods for Contact Problems (A. Rieger, et al.). An Adaptive Boundary Element Method for Contact Problems (C. Eck, et al.). Goal Oriented Error Estimation in Solid Mechanics (H. Steeb, et al.). The p version of the Finite Element Method for Structural Problems (E. Rank, et al.). Adaptive Analysis of Plate and Shell Structures Under Transient Loading (K. Schweizerhof, et al.). The Application of Adaptive Parallel Multigrid Methods to Problems in Nonlinear Solid Mechanics (S. Lang, et al.). Benchmarks (E. Stein, et al.). Index.

Key concepts: Finite element method, Solid mechanics, Geomechanics, Multigrid method, Plasticity, Mathematics, Adaptive mesh refinement, Computational mechanics

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