{"product_id":"least-squares-galerkin-split-finite-element-method-for-incompressible-and-compressible-navier-stokes-equations-a-novel-approach-von-rajeev-kumar-brian-h-dennis","title":"Least-Squares\/ Galerkin Split Finite Element Method","description":"\u003cp\u003eThe least-squares finite element method (LSFEM) has many attractive characteristics such as the lack of an inf-sup condition and the resulting symmetric positive system of algebraic equations unlike Galerkin finite element method (GFEM). However, the higher continuity requirements for second-order terms in the governing equations force the introduction of additional unknowns through the use of an equivalent first-order system of equations or the use of C¹ continuous basis functions, limiting the application of LSFEM to large-scale practical problems. A novel finite element method is proposed that employs a least-squares method for first-order derivatives and a Galerkin method for second order derivatives, thereby avoiding the need for additional unknowns required by a pure LSFEM approach. When the unsteady form of the governing equations is used, a streamline upwinding term is introduced naturally by the least-squares method. The method is stable for convection-dominated flows and allows for equal-order basis functions for both pressure and velocity. Various incompressible and compressible flow benchmark problems have been solved using low-order C¿ continuous elements.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659508516\"\u003e\u003ch3\u003eFor Incompressible and Compressible Navier-Stokes Equations: A Novel Approach\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783659508516","offer_id":39448801804381,"sku":"9783659508516","price":71.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/a5e92cb2-edc8-40ce-b025-f1ed46a4609a.jpg?v=1769235767","url":"https:\/\/shop.autorenwelt.de\/en\/products\/least-squares-galerkin-split-finite-element-method-for-incompressible-and-compressible-navier-stokes-equations-a-novel-approach-von-rajeev-kumar-brian-h-dennis","provider":"Autorenwelt Shop","version":"1.0","type":"link"}