Book review of: S. I. Repin and S. A. Sauter, Accuracy of mathematical models. Dimension reduction, homogenization, and simplification

DOI10.1365/S13291-020-00222-0zbMath1486.00016OpenAlexW3093964439MaRDI QIDQ2216532

Thomas Wick

Publication date: 16 December 2020

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1365/s13291-020-00222-0

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Plates (74K20) Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Theoretical approximation in context of PDEs (35A35) Variational methods for second-order elliptic equations (35J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) External book reviews (00A17) Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators (35J88) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Cites Work

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• Axioms of adaptivity
• A posteriori estimates for partial differential equations
• Fluid-structure interactions. Models, analysis and finite elements
• Multiphysics phase-field fracture. Modeling, adaptive discretizations, and solvers
• Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs
• Variationally consistent discretization schemes and numerical algorithms for contact problems
• An optimal control approach to a posteriori error estimation in finite element methods
• Two-Side a Posteriori Error Estimates for the Dual-Weighted Residual Method
• Adaptive multiscale predictive modelling
• Shape optimization by the homogenization method

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