{'fraction_non_alphanumeric': 0.02826379542395693, 'fraction_numerical': 0.004037685060565276, 'mean_word_length': 5.048780487804878, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
An adaptive integration scheme in computational inelasticity

In this paper, an adaptive approach based on a time discontinuous Galerkin method (dG) is proposed. For large time steps and in a linear non-autonomous case, it reduces to the asymptotically second-order accurate Lobatto IIIC type implicit Runge-Kutta method, which is equal to the Padé-(0,2) approximation of the exponential function. In the asymptotic range it will result in the asymptotically third-order accurate scheme, the dG(1) method. Accuracy and efficiency of the proposed method are studied in detail for common models in creep and plasticity. Comparisons are made to the commonly used backward Euler scheme which is known to give accurate results for large time steps.