Zobrazeno 1 - 10
of 139
pro vyhledávání: '"W Ruge"'
Publikováno v:
SIAM Journal on Scientific Computing. 40:A4105-A4130
Algebraic multigrid (AMG) solvers and preconditioners are some of the fastest numerical methods to solve linear systems, particularly in a parallel environment, scaling to hundreds of thousands of ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::843a87867df200f6dc6909da9e970c02
https://doi.org/10.1137/17m1144350
https://doi.org/10.1137/17m1144350
Algebraic multigrid (AMG) is often an effective solver for symmetric positive definite (SPD) linear systems resulting from the discretization of general elliptic PDEs, or the spatial discretization of parabolic PDEs. However, convergence theory and m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dfea9d13f0bdc279a3efc5e98c1d777d
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85074649236
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85074649236
Autor:
Luke N. Olson, Seth Veitzer, Jon C. Cahoun, John W. Ruge, Kris Beckwith, Stephen F. McCormick
Publikováno v:
IEEE Transactions on Plasma Science. 43:957-964
Many problems of interest in plasma modeling are subject to the tyranny of scales, specifically, problems that encompass physical processes that operate on timescales that are separated by many orders of magnitude. Investigating such problems, theref
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b0848d3fa7d907b29d27b8f01782d8b
https://doi.org/10.1109/tps.2014.2388151
https://doi.org/10.1109/tps.2014.2388151
Autor:
Randolph E. Bank, John W. Ruge, Toby Jones, Robert D. Falgout, Thomas A. Manteuffel, Stephen F. McCormick
Publikováno v:
SIAM Journal on Scientific Computing. 37:S113-S136
In modern large-scale supercomputing applications, algebraic multigrid (AMG) is a leading choice for solving matrix equations. However, the high cost of communication relative to that of computation is a concern for the scalability of traditional imp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f368c0386c3b0da1d9b89ad7457378e0
https://doi.org/10.1137/140974717
https://doi.org/10.1137/140974717
Publikováno v:
Scientific Computing and Algorithms in Industrial Simulations ISBN: 9783319624570
Scientific Computing and Algorithms in Industrial Simulations
Scientific Computing and Algorithms in Industrial Simulations
The research on multigrid in the 1970s opened revolutionary perspectives for the efficient solution of discretized elliptic partial differential equations. In spite of this, it took nearly three decades for it to be seriously recognized and used outs
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e167ee54e4b5b495a0f8a56cf2dd8005
https://doi.org/10.1007/978-3-319-62458-7_5
https://doi.org/10.1007/978-3-319-62458-7_5
Publikováno v:
Numerical Linear Algebra with Applications. 21:239-255
SUMMARY We consider two algebraic multilevel solvers for the solution of discrete problems arising from PDEs with random inputs. Our focus is on problems with large jumps in material coefficients. The model problem considered is that of a diffusion p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29eb8a32106a889bc4f182d30f6280be
https://doi.org/10.1002/nla.1924
https://doi.org/10.1002/nla.1924
Publikováno v:
SIAM Journal on Numerical Analysis. 51:2214-2237
This paper combines first-order system least squares (FOSLS) with first-order system $LL^*$ (FOSLL$^*$) to create a Hybrid method. The FOSLS approach minimizes the error, ${\bf e}^h = {\bf u}^h - {\bf u}$, over a finite element subspace, ${\cal V}^h$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e484b85a9e3a3d3a5118f3106e38b2a
https://doi.org/10.1137/120868906
https://doi.org/10.1137/120868906
Autor:
Marian Brezina, Thomas A. Manteuffel, Lei Tang, John W. Ruge, James H. Adler, Stephen F. McCormick
Publikováno v:
SIAM Journal on Scientific Computing. 35:S171-S191
This paper investigates the performance of a parallel Newton, first-order system least-squares (FOSLS) finite-element method with local adaptive refinement and algebraic multigrid (AMG) applied to incompressible, resistive magnetohydrodynamics. In pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dfb557314c2c423a088891f39763b7cf
https://doi.org/10.1137/120880227
https://doi.org/10.1137/120880227
Publikováno v:
Aktuelle Ernährungsmedizin. 41
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::336183ab75554eba200e52021425f645
https://doi.org/10.1055/s-0036-1583918
https://doi.org/10.1055/s-0036-1583918
Publikováno v:
Numerical Linear Algebra with Applications. 24
Summary This paper proposes a new, low-communication algorithm for solving PDEs on massively parallel computers. The range decomposition (RD) algorithm exposes coarse-grain parallelism by applying nested iteration and adaptive mesh refinement locally
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78a9cff6a92daed9d55a1539603ed2a1
https://doi.org/10.1002/nla.2041
https://doi.org/10.1002/nla.2041