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As a consequence, we are able to prove the existence of exponentially convergent <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\mathcal {H}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>H<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-matrix approximants to the inverse matrices corresponding to the lowest order Galerkin discretizations of the couplings.<\/jats:p>","DOI":"10.1007\/s00211-021-01261-0","type":"journal-article","created":{"date-parts":[[2022,2,11]],"date-time":"2022-02-11T14:11:43Z","timestamp":1644588703000},"page":"849-892","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Caccioppoli-type estimates and $$\\mathcal {H}$$-matrix approximations to inverses for FEM-BEM couplings"],"prefix":"10.1007","volume":"150","author":[{"given":"Markus","family":"Faustmann","sequence":"first","affiliation":[]},{"given":"Jens Markus","family":"Melenk","sequence":"additional","affiliation":[]},{"given":"Maryam","family":"Parvizi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,2,11]]},"reference":[{"issue":"4","key":"1261_CR1","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1007\/s00466-012-0779-6","volume":"51","author":"M Aurada","year":"2013","unstructured":"Aurada, M., Feischl, M., F\u00fchrer, T., Karkulik, M., Melenk, J.M., Praetorius, D.: Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity. 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