Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems

By Haijun Wu, Zhiming Chen. 2006

76 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a1b9a168dd87eacd66497a3635a08ea9198a129a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Andreas Veeser
2. Ricardo H. Nochetto
3. Kunibert G. Siebert
4. Rob P. Stevenson
5. Dietmar Gallistl
6. Ronald A. DeVore
7. José Manuel Cascón
8. Albert Cohen

In Computational Theory and Mathematics

1. Ricardo H. Nochetto
2. Andreas Veeser
3. Kunibert G. Siebert
4. Rob P. Stevenson
5. Dietmar Gallistl

In Mechanics of Materials

1. Andreas Veeser
2. Ricardo H. Nochetto
3. Kunibert G. Siebert
4. Rob P. Stevenson
5. Dietmar Gallistl
6. Ronald A. DeVore
7. Albert Cohen
8. Christoph Schwab

Citations in the corpus

• Primer of Adaptive Finite Element Methods (2011, methodology): “They designed and analyzed optimal additive and multiplicative multilevel methods for any dimension d 2 and polynomial degree n 1, thereby improving upon Wu and Chen [59].”
• Theory of adaptive finite element methods: An introduction (2009, methodology): “For graded bisection meshes, we quote the results of Wu and Chen [77] for the V-cycle multigrid for d = 2,n = 1, and the recent results of Chen et al.”
• Optimality of a Standard Adaptive Finite Element Method (2007, background): “A proof of this fact in our case of applying newest vertex bisection can be found in [14].”