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- W2912646893 abstract "Abstract In this paper, we show how to design and implement an object-oriented version of the IGA-ADI solver, an extension of the explicit version of the Alternating Directions Solver (ADS), known for having multiple applications in simulations performed within Isogeometric Analysis (IGA). We propose a method to reduce the number of time steps by three orders in magnitude in comparison to the existing technique which translates into a linear computational cost O ( N ) for 2D problems solved in sequential execution mode or logarithmic computational cost O ( l o g ( N ) ) in parallel execution mode. Our secondary goal is to exemplify the benefits of employing certain object-oriented programming techniques to enhance the quality of similar experimental software, using our solver as a case-study example. In particular, we demonstrate how to represent the IGA-ADI solver as a composite structure of simpler and loosely-coupled sub-solvers, and how to formulate the complicated core of the numerical algorithm using declarative language which hides its mathematical complexity behind a set of atomic tasks. We evaluate this solver using two criteria we consider equally relevant in this context: (A) the performance and (B) the quality of the design estimated by popular test metrics and the results of a survey conducted on a group of software engineers. We also present some practical applications of this solver and discuss emerging research directions." @default.
- W2912646893 created "2019-02-21" @default.
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- W2912646893 date "2019-02-01" @default.
- W2912646893 modified "2023-10-16" @default.
- W2912646893 title "Object-oriented implementation of the alternating directions implicit solver for isogeometric analysis" @default.
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- W2912646893 doi "https://doi.org/10.1016/j.advengsoft.2018.09.008" @default.
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