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The WG method uses piecewise-polynomial approximations of degrees <jats:italic>k<\/jats:italic> (<jats:inline-formula id=\"j_cmam-2016-0012_eq_9999_w2aab3b7e1162b1b6b1aab1c13b1b3Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi\/>\n                              <m:mo>\u2265<\/m:mo>\n                              <m:mn>1<\/m:mn>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:tex-math>${\\geq 1}$<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>) for the stress,\n<jats:inline-formula id=\"j_cmam-2016-0012_eq_9998_w2aab3b7e1162b1b6b1aab1c13b1b5Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>k<\/m:mi>\n                              <m:mo>+<\/m:mo>\n                              <m:mn>1<\/m:mn>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:tex-math>${k+1}$<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> for the displacement, and <jats:italic>k<\/jats:italic> for the displacement trace on the inter-element boundaries.\nIt is shown to be equivalent to a hybridizable discontinuous Galerkin (HDG) finite element scheme. We show that the WG methods are robust in the sense that the\nderived a priori error estimates are optimal and uniform with respect to the Lam\u00e9 constant \u03bb.\nNumerical experiments confirm the theoretical results.<\/jats:p>","DOI":"10.1515\/cmam-2016-0012","type":"journal-article","created":{"date-parts":[[2016,3,10]],"date-time":"2016-03-10T08:30:47Z","timestamp":1457598647000},"page":"389-408","source":"Crossref","is-referenced-by-count":27,"title":["A Robust Weak Galerkin Finite Element Method for Linear Elasticity with Strong Symmetric Stresses"],"prefix":"10.1515","volume":"16","author":[{"given":"Gang","family":"Chen","sequence":"first","affiliation":[{"name":"School of Mathematics, Sichuan University, Chengdu 610064, P.\u2009R. China"}]},{"given":"Xiaoping","family":"Xie","sequence":"additional","affiliation":[{"name":"School of Mathematics, Sichuan University, Chengdu 610064, P.\u2009R. China"}]}],"member":"374","published-online":{"date-parts":[[2016,3,10]]},"reference":[{"key":"2023033112444834711_j_cmam-2016-0012_ref_001_w2aab3b7e1162b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"Arnold D. N. and Awanou G.,\nRectangular mixed finite elements for elasticity,\nMath. Models Methods Appl. Sci. 15 (2005), 1417\u20131429.","DOI":"10.1142\/S0218202505000741"},{"key":"2023033112444834711_j_cmam-2016-0012_ref_002_w2aab3b7e1162b1b6b1ab2ab2Aa","doi-asserted-by":"crossref","unstructured":"Arnold D. N., Brezzi F. and Douglas Jr. J.,\nPEERS: A new mixed finite element for plane elasticity,\nJapan J. Appl. Math. 1 (1984), 347\u2013367.","DOI":"10.1007\/BF03167064"},{"key":"2023033112444834711_j_cmam-2016-0012_ref_003_w2aab3b7e1162b1b6b1ab2ab3Aa","doi-asserted-by":"crossref","unstructured":"Arnold D. N., Douglas Jr. J. and Gupta C. P.,\nA family of higher order mixed finite element methods for plane elasticity,\nNumer. 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