Construction of L2-orthogonal elements of arbitrary order for Local Projection Stabilization

F. Schieweck, P. Skrzypacz and L. Tobiska

Applied Mathematics and Computation, 2018, vol. 337, issue C, 87-101

Abstract: We construct L2-orthogonal conforming elements of arbitrary order for the Local Projection Stabilization (LPS). L2-orthogonal basis functions lead to a diagonal mass matrix which can be advantageous for time discretizations. We prove that the constructed family of finite elements satisfies a local inf-sup condition. Additionally, we investigate the size of the local inf-sup constant with respect to the polynomial degree. Our numerical tests show that the discrete solution is oscillation-free and of optimal accuracy in the regions away from the boundary or interior layers.

Keywords: Local projection stabilization; L2-orthogonal elements (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:337:y:2018:i:c:p:87-101

DOI: 10.1016/j.amc.2018.04.070

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