Adaptive techniques in SOLD methods

• ID: 2723, RIV: 10333291
• ISSN: 0096-3003, ISBN: not specified
• source: Applied Mathematics and Computation
• keywords: Adaptive techniques; Adaptivity; SOLD; methods
• authors: Petr Lukáš, Petr Knobloch
• authors from KNM: Lukáš Petr, Knobloch Petr

Abstract

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).