Name
Abstract | ||
|---|---|---|
In an earlier work Manteuffel and Parter discussed the role of boundary conditions in obtaining elliptic operators B so that the preconditioned operators B(h)-1 A(h) or A(h)B(h)-1 have uniformly bounded L2 condition number. Here A is the original elliptic operator and A(h) and B(h) are discretizations. Certain computations, mostly one-dimensional, were undertaken to illustrate and understand these results. These computational experiments provided several surprises. This current work describes those experiments and some subsequent experiments together with theoretical explanations of these surprising results. One of the main points of this report is the discussion of interaction of experimental results with the ensuing development of the theory. |
Year | DOI | Venue |
|---|---|---|
1992 | 10.1137/0913014 | SIAM Journal on Scientific Computing |
Keywords | Field | DocType |
PRECONDITIONING,BOUNDARY CONDITIONS,CONJUGATE GRADIENT,EXPERIMENT | Conjugate gradient method,Boundary value problem,Condition number,Mathematical optimization,Mathematical analysis,Elliptic operator,Uniform boundedness,Operator (computer programming),Mathematics,Computation | Journal |
Volume | Issue | ISSN |
13 | 1 | 0196-5204 |
Citations | PageRank | References |
4 | 1.28 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wayne Joubert | 1 | 80 | 37.28 |
| Thomas A. Manteuffel | 2 | 349 | 53.64 |
| Seymour V. Parter | 3 | 20 | 7.48 |
| Sze-Ping Wong | 4 | 4 | 1.28 |