Parallel Preconditioners for Finite Element Computations
2015
- 712Usage
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Usage712
- Downloads643
- Abstract Views69
Thesis / Dissertation Description
This thesis sought to explore numerical methods for solving partial differential equations and to determine the best method of updating the deal.II software to utilize new Trilinos software packages. The one dimensional heat equation with Dirichlet boundary conditions and nonzero initial conditions was solved analytically, using the Forward in Time, Central in Space scheme of the finite difference method, and the Crank-Nicolson scheme of the finite element method. The solutions from using the finite difference method and the finite element method were then compared to the analytic solution to determine accuracy. An example using the same Trilinos packages that are utilized in deal.II currently was updated to use the newer Trilinos packages to determine how to update deal.II and to analyze any performance increases resulting from these changes to the software.
Bibliographic Details
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