On the duality of finite element discretization error control in computational Newtonian and Eshelbian mechanics
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Publication:1015584
DOI10.1007/s00466-006-0112-3zbMath1169.74050OpenAlexW2022309121MaRDI QIDQ1015584
Erwin Stein, Marcus Olavi Rüter
Publication date: 8 May 2009
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-006-0112-3
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free method ⋮ Goal-oriented explicit residual-type error estimates in XFEM ⋮ Energy based methods applied in mechanics by using the extended Noether's formalism ⋮ Goal-oriented \(r\)-adaptivity based on variational arguments in the physical and material spaces ⋮ Corrected Stabilized Non-conforming Nodal Integration in Meshfree Methods
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