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Then, applying <jats:inline-formula><jats:alternatives><jats:tex-math>$$C^0$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n<mml:msup>\n<mml:mi>C<\/mml:mi>\n<mml:mn>0<\/mml:mn>\n<\/mml:msup>\n<\/mml:math><\/jats:alternatives><\/jats:inline-formula>-conforming finite element method in spatial direction, optimal error estimates in <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^\\infty (L^2)$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n<mml:mrow>\n<mml:msup>\n<mml:mi>L<\/mml:mi>\n<mml:mi>\u221e<\/mml:mi>\n<\/mml:msup>\n<mml:mrow>\n<mml:mo>(<\/mml:mo>\n<mml:msup>\n<mml:mi>L<\/mml:mi>\n<mml:mn>2<\/mml:mn>\n<\/mml:msup>\n<mml:mo>)<\/mml:mo>\n<\/mml:mrow>\n<\/mml:mrow>\n<\/mml:math><\/jats:alternatives><\/jats:inline-formula> and in <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^\\infty (H^1)$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n<mml:mrow>\n<mml:msup>\n<mml:mi>L<\/mml:mi>\n<mml:mi>\u221e<\/mml:mi>\n<\/mml:msup>\n<mml:mrow>\n<mml:mo>(<\/mml:mo>\n<mml:msup>\n<mml:mi>H<\/mml:mi>\n<mml:mn>1<\/mml:mn>\n<\/mml:msup>\n<mml:mo>)<\/mml:mo>\n<\/mml:mrow>\n<\/mml:mrow>\n<\/mml:math><\/jats:alternatives><\/jats:inline-formula>-norms for the state variable and convergence result for the boundary feedback control law are derived. All the results preserve exponential stabilization property. Finally, several numerical experiments are conducted to confirm our theoretical findings.\n<\/jats:p>","DOI":"10.1007\/s10915-020-01294-x","type":"journal-article","created":{"date-parts":[[2020,8,24]],"date-time":"2020-08-24T06:02:26Z","timestamp":1598248946000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Global Stabilization of Two Dimensional Viscous Burgers\u2019 Equation by Nonlinear Neumann Boundary Feedback Control and Its Finite Element Analysis"],"prefix":"10.1007","volume":"84","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3764-1245","authenticated-orcid":false,"given":"Sudeep","family":"Kundu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amiya Kumar","family":"Pani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,8,24]]},"reference":[{"key":"1294_CR1","volume-title":"Sobolev Spaces","author":"RA Adams","year":"2003","unstructured":"Adams, R.A., Fournier, J.J.F.: Sobolev Spaces. 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