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7.pdf

Solin7.pdf

🔗 Source: wsc.project.cwi.nl

📊 Size: 652 KB

👤 Author: P. Solin et al. hp-FEM group, University of Nevada, Reno[8mm] [width=0.6]img/reno.jpg

⬇️ Downloads: 98

Summary

The model problem is −∆u + b · ∇u + cu = λu with u = 0 on ∂Ω, where b and c are functions in L∞(Ω) with c being non-negative. A novel iterative approach for solving this eigenproblem using adaptive hp-FEM is presented, which involves calling a generalized eigensolver only once and pursuing each eigenvalue-eigenvector pair on an individual mesh using adaptive hp-FEM combined with Newton or Picard methods. This approach avoids linear combinations in case of repeated eigenvalues and keeps focus on the selected eigenvalue-eigenvector pair. The algorithm iteratively refines the mesh and updates the eigenvalue and eigenvector until convergence.

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Description

The model problem is −∆u + b · ∇u + cu = λu with u = 0 on ∂Ω, where b and c are functions in L∞(Ω) with c being non-negative.

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File Format: PDF
File Size: 652 KB
Pages: 7
Language: EN
Author: P. Solin et al. hp-FEM group, University of Nevada, Reno[8mm] [width=0.6]img/reno.jpg
Total Downloads: 98
Last Updated: 4 weeks ago

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