Lee, J. A. and Nam, J. and Pasquali, M.. (2015) A NEW STABILIZATION OF ADAPTIVE STEP TRAPEZOID RULE BASED ON FINITE DIFFERENCE INTERRUPTS. Siam Journal on Scientific Computing, 37 (2). A725-A746.Full text not available from this repository.
The adaptive step trapezoid rule (TR) is a generally effective numerical integrator, but it is prone to ringing instability and solution stall. We introduce a new stabilization algorithm based on finite difference interrupts (FDI) that reduces ringing and prevents stall. Unlike previously reported stabilization schemes, our algorithm achieves stability and second order accuracy without incurring significant computational cost or spurious diffusion. TR with FDI is at least as stable and accurate as existing methods when solving the prototypical scalar problem. We demonstrate that it has better stability, accuracy, and cost when solving the tightly coupled system describing free surface flows of viscoelastic liquids. Though we demonstrate TR with FDI in the context of a finite element method-of-lines, it is applicable to any TR-based algorithm.
|Additional Information:||ISI Document Delivery No.: CH2ELTimes Cited: 0Cited Reference Count: 58Lee, J. Alex Nam, Jaewook Pasquali, MatteoNSF NSEC CMMI-0531171, CMMI-1031171; Data Analysis and Visualization Cyberinfrastructure - NSF OCI-0959097; NIH award NCRR S10RR02950; IBM Shared University Research (SUR) Award; CISCO; Qlogic; Adaptive Computing; Shared University Grid at Rice - NSF EIA-0216467; National Research Foundation of Korea NRF-2013R1A1A1004986This work was supported by NSF NSEC grants CMMI-0531171 and CMMI-1031171, and the computations were supported by the Data Analysis and Visualization Cyberinfrastructure funded by NSF grant OCI-0959097; by NIH award NCRR S10RR02950 and an IBM Shared University Research (SUR) Award in partnership with CISCO, Qlogic, and Adaptive Computing; and by the Shared University Grid at Rice funded by NSF grant EIA-0216467 and a partnership between Rice University, Sun Microsystems, and Sigma Solutions, Inc.This author's research was supported by National Research Foundation of Korea grant NRF-2013R1A1A1004986.Siam publicationsPhiladelphia|
|Uncontrolled Keywords:||part i|
|Collections:||Nanomanufacturing Research Collection > Nanomanufacturing Nanoscale Science and Engineering Centers > Center for Hierarchical Manufacturing|
|Depositing User:||Robert Stevens|
|Date Deposited:||12 Nov 2015 18:38|
|Last Modified:||12 Nov 2015 18:38|
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