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We follow the methodology of IsoGeometric Analysis (IGA) and choose discrete spaces <jats:inline-formula><jats:alternatives><jats:tex-math>$$X_{h,k}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:msub>\n                    <mml:mi>X<\/mml:mi>\n                    <mml:mrow>\n                      <mml:mi>h<\/mml:mi>\n                      <mml:mo>,<\/mml:mo>\n                      <mml:mi>k<\/mml:mi>\n                    <\/mml:mrow>\n                  <\/mml:msub>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> on each patch <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Omega _k$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:msub>\n                    <mml:mi>\u03a9<\/mml:mi>\n                    <mml:mi>k<\/mml:mi>\n                  <\/mml:msub>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> as tensor-product NURBS spaces of the same or higher degree as given by the parameterization. Our work is an extension of Brivadis et al. (Comput Methods Appl Mech Eng 284:292\u2013319, 2015) and highlights several aspects which did not receive full attention before. In particular, by choosing appropriate spaces of polynomial splines as Lagrange multipliers, we obtain a uniform infsup-inequality. Moreover, we provide a new additional condition on the discrete spaces <jats:inline-formula><jats:alternatives><jats:tex-math>$$X_{h,k}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:msub>\n                    <mml:mi>X<\/mml:mi>\n                    <mml:mrow>\n                      <mml:mi>h<\/mml:mi>\n                      <mml:mo>,<\/mml:mo>\n                      <mml:mi>k<\/mml:mi>\n                    <\/mml:mrow>\n                  <\/mml:msub>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> which is required for obtaining optimal convergence rates of the mortar method. Our numerical examples demonstrate that the optimal rate is lost if this condition is neglected.<\/jats:p>","DOI":"10.1007\/s00211-021-01246-z","type":"journal-article","created":{"date-parts":[[2021,11,13]],"date-time":"2021-11-13T19:02:28Z","timestamp":1636830148000},"page":"871-931","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates"],"prefix":"10.1007","volume":"149","author":[{"given":"W.","family":"Dornisch","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"St\u00f6ckler","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,11,13]]},"reference":[{"key":"1246_CR1","doi-asserted-by":"publisher","first-page":"1627","DOI":"10.1093\/imanum\/dry041","volume":"39","author":"P Antolin","year":"2019","unstructured":"Antolin, P., Fabre, M., Buffa, A.: A priori error for unilateral contact problems with Lagrange multipliers and isogeometric analysis. 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