A new adaptive modification strategy for numerical solutions to elliptic boundary value problems

✍ Scribed by José Valenciano; Robert G. Owens

• Book ID: 104308665
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 245 KB
• Volume: 32
• Category: Article
• ISSN: 0168-9274
• DOI: 10.1016/s0168-9274(99)00030-6

✦ Synopsis

An h-p adaptive spectral element method for elliptic problems featuring simultaneous h and p refinements is presented. Results obtained by applying this strategy to the Helmholtz equation for different orders of regularity of the solution are compared to the results obtained using the 3-step h-p adaptive strategy of Oden et al. (1992). Theoretical reasons for deficiencies in Oden's 3-step strategy are presented. The results obtained in terms of computational CPU-time and global number of degrees of freedom show the advantages of using the new approach.