[PDF] Top 20 An adaptive stabilized finite element method for the generalized Stokes problem

... model problem is stated in Section 2, and the bases of the discrete approximation are settled in Section ...auxiliary problem and prove that we can define a norm based on the solution of this auxiliary ... See full document

... the Stokes problem gener- ally follows one of two complementary ...the element level or can simply be based on compensating for the inf-sup deficiency of the ...for stabilized finite ... See full document

... a method using low order conforming finite element ...is stabilized by penalizing inter-element ...unique element of the lowest order Raviart-Thomas ...non-conforming ... See full document

... the problem difficult to analyze accurately and to solve it ...numerical method for modelling such multimaterial flows (fluid/solid) will be referred as the immersed volume method ( IVM ...this ... See full document

... [7] J. Douglas, Jr. and J. P. Wang, An absolutely stabilized finite element method for the Stokes problem, Math. Comp. 52 (1989), no. 186, 495–508. MR 89j:65069. Zbl 669.76051. [8] L. P. ... See full document

... an adaptive finite element method for computing numerical solutions of this approximation was proposed and analysed by Burke, Ortner and S¨ uli ... See full document

... finite element methods for the Stokes ...the element level and at the interelement boundary level, making the method take the form of a classical stabilized finite element ... See full document

... the Stokes problem to be stitched together using a stabilized Nitsche method from multiple non-matching and intersecting meshes to weakly enforce continuity over an ...The method has ... See full document

... the stabilized finite element and finite volume methods for the Oseen problem are ...projection method to overcome the restriction of ...the stabilized numerical schemes, we deduce a ... See full document

... The Stokes–Darcy fluid flow model is a cou- pling among surface and subsurface flows, which occurs in many natural and indus- trial events such as biomedicine, industrial processes, blood flow motion in the arteries, ... See full document

... In computational terms we apply the above technique to the Navier-Stokes equations. This is achieved by first performing the semi-discretization in time of these equa- tions by a classical characteristics ... See full document

... difficulty, stabilized finite element methods that circumvent the restrictive inf_sup condition have been developed for Stokes-like problems (see ... See full document

... control problem involving the generalized Oseen equations as state equations; control constraints are also ...of stabilized finite element methods as well as for standard finite ... See full document

... The problem of finding a flux and temperature at certain nodes in heat problem is such a way in giving ideas about elasticity ...certain problem using certain techniques in finite ... See full document

... finite element method (FEM) is used in the industry, research laboratories and academia for the simulation of a broad class of problems and ...the method usually rely on implementations provided by ... See full document

... This method has the advantage of being easy to implement and does not require any additional calculations, however it has the disadvantage of containing an arbitrary coefficient C a whose value influences the ... See full document

... IX. F ULL S YSTEM OF E QUATIONS OF THE M ODEL Stiffness equation (Eq. 11) contains twelve algebraic equations, which relates reactions and displacements in both ends of the beam. The other twelve equations necessaries to ... See full document

... analysis Finite Elements Method is a contemporary numerical method for determination of distribution ofelectromagnetic fields inside different ... See full document

... of adaptive finite element methods, for example, is to first discretise the underlying PDE problem, in our case (1), and to derive an a posteriori error bound for the resulting (nonlinear) ... See full document

... direct method or iterative method applied to symmetric matrices as CG (conjugate gradient ...the finite element method (FEM) to solve partial differential ... See full document