Name
Abstract | ||
|---|---|---|
In this paper we construct optimal preconditioners for the discrete mathematical models arising in modeling the elastic responses of lattice block materials. We present extensive numerical experiments to show that the preconditioned system has a uniformly bounded condition number with respect to the size of problem and with respect to the parameter relating the stretching and bending of the beams in a lattice. Using the limiting system of partial differential equations, we show theoretically that for square lattices the proposed preconditioners are efficient by proving a uniform bound on the condition number of the preconditioned system. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1137/070684203 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
extensive numerical experiment,multilevel preconditioning methods,square lattice,lattice block materials,optimal preconditioners,lattice block material,discrete mathematical model,bounded condition number,proposed preconditioners,elastic response,discrete models,preconditioned system,condition number,preconditioning | Boundary value problem,Condition number,Mathematical analysis,Uniform boundedness,Algebraic equation,Initial value problem,Mathematical model,Numerical analysis,Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
31 | 1 | 1064-8275 |
Citations | PageRank | References |
2 | 0.43 | 7 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shi Shu | 1 | 86 | 11.70 |
| Ivo Babuška | 2 | 660 | 118.05 |
| Yingxiong Xiao | 3 | 9 | 1.81 |
| Jinchao Xu | 4 | 1478 | 238.14 |
| Ludmil Zikatanov | 5 | 189 | 25.89 |