Local Flux Reconstruction for a Frictionless Unilateral Contact Problem

Autor:	Daniela Capatina, Robert Luce
Rok vydání:	2020
Předmět:	Flux (metallurgy) Error analysis Applied mathematics A priori and a posteriori Unilateral contact Extension (predicate logic) Contact condition Signorini problem Laplace operator Mathematics
Zdroj:	Lecture Notes in Computational Science and Engineering ISBN: 9783030558734 ENUMATH
DOI:	10.1007/978-3-030-55874-1_22
Popis:	We are interested in the a posteriori error analysis based on locally reconstructed fluxes for the 2D Signorini problem. We start from a P1-conforming approximation where the contact condition is treated by means of a Nitsche method. We propose an extension of a general approach previously developed for the Laplace operator, allowing to obtain H(div)-conforming conservative fluxes by a local post-process. The reconstructed flux yields an a posteriori error indicator, which is completed by two additional terms taking into account the non-linear contact condition. We then prove the reliability of the indicator, without any additional assumption.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3cecf868c7a63230ceabf53f53f3caae https://doi.org/10.1007/978-3-030-55874-1_22 Zobrazit plný text záznamu