| Author | Slimane Adjerid, Joseph E. Flaherty and Yun J. Wang |
|---|---|
| Title | Adaptive Method-of-Lines Techniques for Parabolic Systems |
| Year | 1993 |
| Pages | - - |
| Editor | - - |
| Abstract | We examine the solution of parabolic partial differential systems in one and two space dimensions by adaptive finite element method-of-lines procedures that automatically refine and coarsen computational meshes, vary the degree of the piecewise polynomial basis and, in one dimension, move the computational mesh. Two-dimensional meshes of triangular, quadrilateral, or a mixture of triangular and quadrilateral elements are generated using a finite quadtree procedure that is also used for data management. A posteriori estimates, used to control adaptive enrichment, are generated from the hierarchical polynomial basis. Backward difference software is used for temporal integration. |