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We consider the Finite Element Method in the bounded domains to simulate possibly non-linear materials. The Boundary Element Method is applied in unbounded or thin domains where the material behavior is linear. The isogeometric framework allows to combine different design and analysis tools: first, we consider the same type of NURBS parameterizations for an exact geometry representation and second, we use the numerical analysis for the Galerkin approximation. Moreover, it facilitates to perform <jats:italic>h<\/jats:italic>- and <jats:italic>p<\/jats:italic>-refinements. For the sake of analysis, we consider the framework of strongly monotone and Lipschitz continuous operators to ensure well-posedness of the coupled system. Furthermore, we provide a priori error estimates. We additionally show an improved convergence behavior for the errors in functionals of the solution that may double the rate under certain assumptions. Numerical examples conclude the work which illustrate the theoretical results.<\/jats:p>","DOI":"10.1007\/s10444-021-09886-3","type":"journal-article","created":{"date-parts":[[2021,8,19]],"date-time":"2021-08-19T16:04:32Z","timestamp":1629389072000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Non-symmetric isogeometric FEM-BEM couplings"],"prefix":"10.1007","volume":"47","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7252-9339","authenticated-orcid":false,"given":"Mehdi","family":"Elasmi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christoph","family":"Erath","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefan","family":"Kurz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,8,19]]},"reference":[{"key":"9886_CR1","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1016\/j.cma.2017.11.031","volume":"331","author":"A Aimi","year":"2018","unstructured":"Aimi, A., Calabro, F., Diligenti, M., Sampoli, M.L., Sangalli, G., Sestini, A.: Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM. 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