Navier-Stokes Equations: Theory and Numerical Analysis

algorithm APX1 barycentric coordinates belongs boundary bounded set c₁ Chapter compactness theorem condition Const constant continuous curl d₁ d₂ defined denote discrete equal existence and uniqueness external approximation finite element methods finite elements fluid given grad H¹(N hence Hilbert space Hölder inequality inequality L²(N L²(Q linear method Navier-Stokes equations nonlinear norm numerical obtain open set Poincaré inequality polynomial of degree priori estimates Problem 3.1 proof of Lemma proof of Theorem Proposition prove r₁ Remark right-hand side SAN DIEGO satisfies scalar product Schemes 5.1 Section sequence Sobolev inequalities solution of Problem space Wh stability step function Stokes problem strongly Temam Theorem 3.1 triangle u₁ u₂ um+1 vector functions w₁ weak topology weakly X₁