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The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast.\n<\/jats:p>","DOI":"10.1007\/s10915-019-01071-5","type":"journal-article","created":{"date-parts":[[2019,11,2]],"date-time":"2019-11-02T21:02:41Z","timestamp":1572728561000},"page":"2051-2079","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods"],"prefix":"10.1007","volume":"81","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1556-2682","authenticated-orcid":false,"given":"Cuiyu","family":"He","sequence":"first","affiliation":[]},{"given":"Xu","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,11,2]]},"reference":[{"key":"1071_CR1","first-page":"604","volume":"14","author":"S Adjerid","year":"2017","unstructured":"Adjerid, S., Guo, R., Lin, T.: High degree immersed finite element spaces by a least squares method. 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