Finite element analysis for a nonlinear diffusion model in image processing

✍ Scribed by Jichun Li

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 369 KB
• Volume: 15
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(01)00118-5

✦ Synopsis

The optimal error estimate O(h k+l) for a popular nonlinear diffusion model widely used in image processing is proved for the standard kth-order (k 1 1) conforming tensor-product finite elements in the L2-norm. The optimal L2-estimate is obtained by the integral identity technique [l-3] without using the classic Nitsche duality argument [4].