Výsledky vyhledávání - "Tzanio Kolev"

Low-Order Preconditioning for the High-Order Finite Element de Rham Complex

Autor: Will Pazner, Tzanio Kolev, Clark R. Dohrmann

Publikováno v: SIAM Journal on Scientific Computing. 45:A675-A702

In this paper we present a unified framework for constructing spectrally equivalent low-order-refined discretizations for the high-order finite element de Rham complex. This theory covers diffusion problems in $H^1$, $H({\rm curl})$, and $H({\rm div}

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bba4694befa0b9b512fd4df95eb92dbc
https://doi.org/10.1137/22m1486534

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Conservative and Accurate Solution Transfer Between High-Order and Low-Order Refined Finite Element Spaces

Autor: Tzanio Kolev, Will Pazner

Publikováno v: SIAM Journal on Scientific Computing. 44:A1-A27

In this paper we introduce general transfer operators between high-order and low-order refined finite element spaces that can be used to couple high-order and low-order simulations. Under natural restrictions on the low-order refined space we prove t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5affb908452475b6f6539e912d4627f0
https://doi.org/10.1137/21m1403916

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High-Order Mesh Morphing for Boundary and Interface Fitting to Implicit Geometries

Autor: Jorge-Luis Barrera, Tzanio Kolev, Ketan Mittal, Vladimir Tomov

We propose a method that morphs high-orger meshes such that their boundaries and interfaces coincide/align with implicitly defined geometries. Our focus is particularly on the case when the target surface is prescribed as the zero isocontour of a smo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::713a7eafced62ff8537190c1d2f03c11
http://arxiv.org/abs/2208.05062

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