Spectral approximation of the H-1 gradient flow of a multi-well potential with bending energy

Journal article

Abstract:: We consider a fully discrete approximation of the H1 gradient flow of an energy integral where the energy density is given by the sum of a nonnegative multi-well potential term and a bending energy term. The spatial discretization is based on a Fourier spectral method, which is combined with an implicit Euler time discretization. The numerical method is shown to be stable and to exhibit optimal orders of convergence with respect to its spatial and temporal discretization parameters in the ℓ∞ ...
Expand abstract
Collapse abstract

Publication website:: http://www.mathos.unios.hr/mc/index.php/mc/article/view/366

Institution:

University of Oxford

Division:

MPLS

Department:

Mathematical Institute

Role:

Author

Funding agency for:

Süli, E

Publisher:: Department of Mathematics, University of Osijek Publisher's website
Journal:: Mathematical Communications Journal website
Volume:: 19
Issue:: 3
Pages:: 437-452
Publication date:: 2014-02-02
Acceptance date:: 2014-01-08
EISSN:: 1848-8013
ISSN:: 1331-0623

Language:: English
Keywords:: microstructure

error analysis

spectral method

gradient flow

implicit Euler method

double-well potential
Pubs id:: pubs:500956
UUID:: uuid:838d6744-efd4-4907-b144-c1d92ad5001b
Local pid:: pubs:500956
Source identifiers:: 500956
Deposit date:: 2015-10-31

If you are the owner of this record, you can report an update to it here: Report update to this record