Adaptive techniques in SOLD methods

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摘要

We present new results where free parameters in spurious oscillations at layers diminishing (SOLD) method are adaptively chosen. Provided numerical results are for conforming piecewise linear finite element space with free parameters from piecewise constant finite element space. We focus on a higher order convergence we discovered in previous paper by Lukáš (2015).

论文关键词:SOLD,SUPG,Adaptivity,Spurious oscillations,Convergence,Optimization

论文评审过程:Received 2 November 2016, Revised 11 January 2017, Accepted 14 January 2017, Available online 30 January 2017, Version of Record 31 October 2017.

论文官网地址:https://doi.org/10.1016/j.amc.2017.01.034