Name
Title | ||
|---|---|---|
Solving Nonlinear, High-Order Partial Differential Equations Using a High-Performance Isogeometric Analysis Framework |
Abstract | ||
|---|---|---|
In this paper we present PetIGA, a high-performance implementation of Isogeometric Analysis built on top of PETSc. We show its use in solving nonlinear and time-dependent problems, such as phase-field models, by taking advantage of the high-continuity of the basis functions granted by the isogeometric framework. In this work, we focus on the Cahn-Hilliard equation and the phase-field crystal equation. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/978-3-662-45483-1_17 | Communications in Computer and Information Science |
Keywords | Field | DocType |
Isogeometric analysis,high-performance computing,high-order partial differential equations,finite elements,phase-field modeling | Applied mathematics,Nonlinear system,Supercomputer,Isogeometric analysis,Computer science,Parallel computing,Numerical partial differential equations,Finite element method,Basis function,Partial differential equation | Conference |
Volume | ISSN | Citations |
485 | 1865-0929 | 1 |
PageRank | References | Authors |
0.42 | 4 | 7 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| adriano m a cortes | 1 | 1 | 0.42 |
| Philippe A. Vignal | 2 | 12 | 3.48 |
| Adel Sarmiento | 3 | 14 | 2.86 |
| d a garcia | 4 | 1 | 0.42 |
| Nathan O. Collier | 5 | 45 | 8.33 |
| Lisandro D. Dalcin | 6 | 1 | 0.76 |
| Victor M. Calo | 7 | 191 | 38.14 |