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This WG method is equipped with stable finite elements consisting of usual polynomials of degree <jats:italic>k<\/jats:italic> \u2a7e 1 for the velocity and polynomials of degree <jats:italic>k<\/jats:italic> \u2212 1 for the pressure, both are discontinuous. Optimal convergence rates of order <jats:italic>k<\/jats:italic> + 1 for the velocity and order <jats:italic>k<\/jats:italic> for the pressure are established in <jats:italic>L<\/jats:italic>\n                  <jats:sup>2<\/jats:sup>-norm on hybrid meshes. Numerical experiments verify the expected order of accuracy for both two-dimensional and three-dimensional examples. Moreover, numerically it is shown that the proposed WG algorithm is able to accommodate geometrically complicated and very irregular interfaces having sharp edges, cusps, and tips.<\/jats:p>","DOI":"10.1515\/jnma-2023-0112","type":"journal-article","created":{"date-parts":[[2024,4,4]],"date-time":"2024-04-04T12:40:55Z","timestamp":1712234455000},"page":"347-367","source":"Crossref","is-referenced-by-count":0,"title":["Analysis and computation of a weak Galerkin scheme for solving the 2D\/3D stationary Stokes interface problems with high-order elements"],"prefix":"10.1515","volume":"32","author":[{"given":"Raman","family":"Kumar","sequence":"first","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Guwahati , North Guwahati , India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bhupen","family":"Deka","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Guwahati , North Guwahati , India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2024,4,4]]},"reference":[{"key":"2025021812535293704_j_jnma-2023-0112_ref_001","unstructured":"R. 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