We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
SPECTRAL APPROXIMATION OF A STRAIN-LIMITING NONLINEAR ELASTIC MODEL.
- Authors
Gelmetti, Nicolò; Süli, Endre
- Abstract
We construct a numerical algorithm for the approximate solution of a non- linear elastic limiting strain model based on the Fourier spectral method. The existence and uniqueness of the numerical solution are proved. Assuming that the weak solution to the boundary-value problem possesses suitable Sobolev regularity, the sequence of numeri- cal solutions is shown to converge to the weak solution of the problem at an optimal rate. The numerical method represents a finite-dimensional system of nonlinear equations. An iterative method is proposed for the approximate solution of this system of equations and is shown to converge, at a linear rate, to the unique solution of the numerical method. The theoretical results are illustrated by numerical experiments.
- Subjects
APPROXIMATION theory; NONLINEAR elastic fracture; BOUNDARY value problems; SOBOLEV spaces; NONLINEAR equations
- Publication
Matematicki Vesnik, 2019, Vol 71, Issue 1/2, p63
- ISSN
0025-5165
- Publication type
Article