FUNCTIONAL-TYPE A POSTERIORI ERROR ESTIMATES FOR SOLUTIONS IN DEFORMABLE SOLID MECHANICS

Paper provides a historical review and recent developments on theoretical justification and numerical implementations of functional a posteriori error estimates and adaptive algorithms for approximate solutions to problems in deformable solid mechanics. Efficient practical implementation of such met...

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Bibliographic Details
Main Authors: Valdman Jan, Frolov Maxim
Format: Article
Language:English
Published: Peter the Great St.Petersburg Polytechnic University 2020-12-01
Series:St. Petersburg Polytechnical University Journal: Physics and Mathematics
Subjects:
Online Access:https://physmath.spbstu.ru/article/2020.50.16/
Description
Summary:Paper provides a historical review and recent developments on theoretical justification and numerical implementations of functional a posteriori error estimates and adaptive algorithms for approximate solutions to problems in deformable solid mechanics. Efficient practical implementation of such methods is very important, including problems in modern engineering.
ISSN:2405-7223