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In this paper, we prove the LBB condition and provide the (optimal) lower bound for this condition for the triangular spectral method proposed by L. Chen, J. Shen, and C. Xu in [3]. Then this lower bound is used to derive an error\nestimate for the pressure. Some numerical examples are provided to confirm the theoretical estimates.<\/jats:p>","DOI":"10.1515\/cmam-2016-0011","type":"journal-article","created":{"date-parts":[[2016,3,10]],"date-time":"2016-03-10T08:30:47Z","timestamp":1457598647000},"page":"507-522","source":"Crossref","is-referenced-by-count":9,"title":["On the Inf-Sup Constant of a Triangular Spectral Method for the Stokes Equations"],"prefix":"10.1515","volume":"16","author":[{"given":"Yanhui","family":"Su","sequence":"first","affiliation":[{"name":"College of Mathematics and Computer Science, Fuzhou University, 350116 Fuzhou, P.\u2009R. China"}]},{"given":"Lizhen","family":"Chen","sequence":"additional","affiliation":[{"name":"Beijing Computational Science Research Center, 100193 Beijing, P.\u2009R. China"}]},{"given":"Xianjuan","family":"Li","sequence":"additional","affiliation":[{"name":"College of Mathematics and Computer Science, Fuzhou University, 350116 Fuzhou, P.\u2009R. China"}]},{"given":"Chuanju","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences and Fujian Provincial Key Laboratory of Mathematical Modeling and High Performance Scientific Computing, Xiamen University, 361005 Xiamen, P.\u2009R. China"}]}],"member":"374","published-online":{"date-parts":[[2016,3,10]]},"reference":[{"key":"2023033112444844269_j_cmam-2016-0011_ref_001_w2aab3b7d805b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"Bernardi C., Canuto C. and Maday Y.,\nGeneralized inf-sup conditions for Chebyshev spectral approximation of the Stokes problem,\nSIAM J. Numer. 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