𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Analysis of two-grid methods for reaction-diffusion equations by expanded mixed finite element methods

✍ Scribed by Yanping Chen; Huan-Wen Liu; Shang Liu

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
164 KB
Volume
69
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A two-grid method for mixed finite-eleme
A two-grid method for mixed finite-element solution of reaction-diffusion equations
✍ Li Wu; Myron B. Allen III 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 392 KB 👁 3 views

We present a scheme for solving two-dimensional, nonlinear reaction-diffusion equations, using a mixed finite-element method. To linearize the mixed-method equations, we use a two grid scheme that relegates all the Newton-like iterations to a grid H much coarser than the original one h , with no lo

Two-grid methods for mixed finite-elemen
Two-grid methods for mixed finite-element solution of coupled reaction-diffusion systems
✍ Li Wu; Myron B. Allen 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 423 KB 👁 3 views

We develop 2-grid schemes for solving nonlinear reaction-diffusion systems: where p = (p, q) is an unknown vector-valued function. The schemes use discretizations based on a mixed finite-element method. The 2-grid approach yields iterative procedures for solving the nonlinear discrete equations. Th

Convergence and superconvergence analysi
Convergence and superconvergence analysis of an anisotropic nonconforming finite element methods for semisingularly perturbed reaction–diffusion problems
✍ Guoqing Zhu; Shaochun Chen 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 339 KB 👁 1 views

## Abstract The numerical approximation by a lower‐order anisotropic nonconforming finite element on appropriately graded meshes are considered for solving semisingular perturbation problems. The quasi‐optimal‐order error estimates are proved in the ε‐weighted __H__^1^‐norm valid uniformly, up to a