Abstract
In this short paper we analyze, from both analytical and numerical points of view, a dynamic problem arising in micropolar viscoelasticity. An existence and uniqueness result is proved by using the theory of linear semigroups. The exponential decay of the solution is also shown. Then, by using the finite element method and the implicit Euler scheme, a fully discrete approximation is introduced. A priori error estimates are proved, from which the linear convergence is derived under adequate additional regularity conditions. Finally, a one-dimensional numerical example is presented to show the accuracy of the approximation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
