@article {14144,
	title = {Some aspects of parallel implementation of the finite-element method on message passing architectures},
	journal = {Journal of Computational and Applied Mathematics},
	volume = {27},
	year = {1989},
	month = {1989/09//},
	pages = {157 - 187},
	abstract = {We discuss some aspects of implementing the finite-element method on parallel computers with local memory and message passing. In particular, we compare the costs of using high-order and low-order elements and of direct and iterative solvers for solving the linear systems that occur. Our model of parallel computation is a two-dimensional grid of processors chosen to be similar in shape to the underlying grid. Our main conclusions are that use of high-order methods is an effective way to achieve high accuracy for some problems, on both serial and parallel computers, and that such methods provide a natural way to achieve efficiency in parallel implementations. In addition, we show that sparse direct solvers generalize naturally to methods based on high-order elements, and that direct solvers are adequate for two-dimensional problems, especially for multiple load vectors.},
	keywords = {Finite-element methods, hp-version, nested dissection, parallel computations, preconditioned conjugate gradient},
	isbn = {0377-0427},
	doi = {16/0377-0427(89)90365-8},
	url = {http://www.sciencedirect.com/science/article/pii/0377042789903658},
	author = {Babuska, I. and Elman, Howard}
}
