Sobolev Gradients and Differential Equations (Lecture Notes in Mathematics) by John Neuberger
English | Nov 13, 1997 | ISBN: 3540635378 | 150 Pages | PDF | 2 MB
English | Nov 13, 1997 | ISBN: 3540635378 | 150 Pages | PDF | 2 MB
A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to the underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. Equal emphasis is placed on numerical and theoretical matters. Several concrete applications are made to illustrate the method.