56 citations · 368 across the 53 of their papers we have counts for
3 papers · 2 filters
An auxiliary space multigrid preconditioner for the weak Galerkin method
Long Chen, Junping Wang, Yanqiu Wang +1
In this paper, the authors constructed an auxiliary space multigrid preconditioner for the weak Galerkin finite element method for second-order diffusion equations, discretized on…
A PDE approach to fractional diffusion: a posteriori error analysis
Long Chen, Ricardo H. Nochetto, Enrique Otárola +1
We derive a computable a posteriori error estimator for the -harmonic extension problem, which localizes the fractional powers of elliptic operators supplemented with Dirichlet…
Multilevel methods for nonuniformly elliptic operators
Long Chen, Ricardo H. Nochetto, Enrique Otarola +1
We develop and analyze multilevel methods for nonuniformly elliptic operators whose ellipticity holds in a weighted Sobolev space with an --Muckenhoupt weight. Using the so-ca…