@Article{IJNAMB-2-281,
author = {C. Wen and T.-Z. Huang},
title = {A Jumping Multigrid Method Via Finite Element Extrapolation.},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2011},
volume = {2},
number = {4},
pages = {281--297},
abstract = {The multigrid method solves the finite element equations in optimal order, i.e., solving a linear system of O(N) equations in O(N) arithmetic operations. Based on low level solutions,
we can use finite element extrapolation to obtain the high-level finite element solution on some
coarse-level element boundary, at an higher accuracy O(h^4_i). Thus, we can solve higher level
(h_j, j\lesssim2i) finite element problems locally on each such coarse-level element. That is, we can skip
the finite element problem on middle levels, h_{i+1}, h{_i+2},..., h_{j-1}. Loosely speaking, this jumping
multigrid method solves a linear system of O(N) equations by a memory of O(p\sqrt{N}), and by a
parallel computation of O(p\sqrt{N}).},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/313.html}
}