{"paper":{"title":"A priori error estimates of fully discrete finite element Galerkin method for Kelvin-Voigt viscoelastic fluid flow model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Ambit K. Pany, Saumya Bajpai","submitted_at":"2019-03-03T19:58:16Z","abstract_excerpt":"In this article, a finite element Galerkin method is applied to the Kelvin-Voigt viscoelastic fluid model, when its forcing function is in $L^{\\infty}(\\bL^2)$. Some new {\\it a priori} bounds for the velocity as well as for the pressure are derived which are independent of inverse powers of the retardation time $\\kappa$. Optimal error estimates for the velocity in $L^{\\infty} (\\bL^2)$ as well as in $L^{\\infty}(\\bH^1_0)$-norms and for the pressure in $L^{\\infty}(L^2)$-norm of the semidiscrete method are discussed which hold uniformly with respect to $\\kappa$ as $\\kappa\\rightarrow 0$ with the ini"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.00975","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}