6533b827fe1ef96bd12864c8
RESEARCH PRODUCT
Parallel finite element splitting-up method for parabolic problems
Pekka NeittaanmäkiXue-cheng Taisubject
Computational MathematicsNumerical AnalysisFinite element spaceSeries (mathematics)Discontinuous Galerkin methodApplied MathematicsMathematical analysisMixed finite element methodAnalysisFinite element methodExtended finite element methodMathematicsdescription
An efficient method for solving parabolic systems is presented. The proposed method is based on the splitting-up principle in which the problem is reduced to a series of independent 1D problems. This enables it to be used with parallel processors. We can solve multidimensional problems by applying only the 1D method and consequently avoid the difficulties in constructing a finite element space for multidimensional problems. The method is suitable for general domains as well as rectangular domains. Every 1D subproblem is solved by applying cubic B-splines. Several numerical examples are presented.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1991-01-01 | Numerical Methods for Partial Differential Equations |