Implementation of incremental variational formulations based on the numerical calculation of derivatives using hyper dual numbers
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Publication:2417481
DOI10.1016/j.cma.2015.12.010zbMath1425.74492OpenAlexW2291410443MaRDI QIDQ2417481
Daniel Balzani, Masato Tanaka, Jörg Schröder
Publication date: 12 June 2019
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2015.12.010
Finite element methods applied to problems in solid mechanics (74S05) Stress (74A10) Numerical differentiation (65D25)
Related Items (8)
Gröbner bases plugged into graphical skills to solve a set of multiple bifurcation equations in structural compound stability problems ⋮ Fundamental theorem of matrix representations of hyper-dual numbers for computing higher-order derivatives ⋮ Multiple bifurcation paths visualized by a computational asymptotic stability theory ⋮ Variational updates for thermomechanically coupled gradient-enhanced elastoplasticity -- implementation based on hyper-dual numbers ⋮ Computational two-mode asymptotic bifurcation theory combined with hyper dual numbers and applied to plate/shell buckling ⋮ Hill-top branching: its asymptotically expanded and visually solved bifurcation equations ⋮ Hyper-dual number-based numerical differentiation of eigensystems ⋮ Statistical approach for highest precision numerical differentiation
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