A saddle point approach to the computation of harmonic maps

• Main Authors: Hu, Qiya, Tai, Xue Cheng, Winther, Ragnar
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2009
• Subjects: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
• Online Access: https://hdl.handle.net/10356/79912; http://hdl.handle.net/10220/6048; http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:EBSCO_APH&id=doi:&genre=&isbn=&issn=00361429&date=2009&volume=47&issue=2&spage=1500&epage=1523&aulast=Qiya&aufirst=Hu&auinit=&title=SIAM%20Journal%20on%20Numerical%20Analysis&atitle=A%20SADDLE%20POINT%20APPROACH%20TO%20THE%20COMPUTATION%20OF%20HARMONIC%20MAPS%2E&sici
• Institution: Nanyang Technological University

In this paper we consider numerical approximations of a constraint minimization problem, where the object function is a quadratic Dirichlet functional for vector fields and the interior constraint is given by a convex function. The solutions of this problem are usually referred to as harmonic maps....