[PDF] Top 20 On mixed finite element techniques for elliptic problems

... value problems for elliptic equations by means of finite element methods of mixed typ The main motivation of this paper is to extend these methods for a class of mildly nonlinear ellipti[r] ... See full document

... nonlinear problems of the type ...adaptive finite element procedure, which, in turn, is based on a suitable a posteriori residual ...adaptive finite element approach, whereby we either ... See full document

... diffusion problems have been treated heavily using finite element methods ...[1-4]. Mixed finite element method has been proposed by Douglas et ...the finite ... See full document

... the finite element solution by using a discrete least-squares fitting on a local patch with high order polyno- ...the finite element ... See full document

... the mixed finite element method to deal with fourth order hyperbolic optimal control ...of mixed finite element solution for fourth order hyperbolic optimal control ... See full document

... As mixed method for plate bending problems was suggested by Herrmann [9] has been further developed in sequel however more attention has been focused on the mixed finite element method ... See full document

... stable mixed finite element method (MFEM) for the second order elliptic problems, in which the scheme just satisfies the discrete ...discrete problems are obtained, and the ... See full document

... The fine grid solution is used to guide optimal refinements of the coarse grid to produce the next coarse grid. It is the fine grid, however, and not the coarse grid that is our final product. In order to guide the ... See full document

... Eulerian-Lagrangian mixed discontinuous finite element (MDFE) methods and their equivalent Galerkin versions for the numerical solution of advection- diffusion ...space-time mixed formu- lation of the ... See full document

... the elliptic integrals, but the main achievement concerns the Lauricella F D 3 hypergeometric functions use for solving elasticity ...the finite elements ... See full document

... control problems and its mixed finite element ...the mixed elliptic reconstructions, which is useful in deriving the a posteriori estimates for the fourth order hyperbolic optimal ... See full document

... In this section, we present some numerical results of the novel stabilized mixed finite ele- ment method defined in Section  which confirm the theoretical analysis of the previous section. As for the constrained ... See full document

... In this paper, we use the lowest Raviart-Thomas rectangle mixed finite element to approx- imate problem (.) and derive the uniform error estimates for the characteristics-mixed finite element ... See full document

... 3. Preliminary results. Our approach in studying singularities for problem (2.13) is based on solvability in weighted spaces rather than on singular functions expansions. We begin with three results on regularity and ... See full document

... nonconforming finite element method (NCFEM) is more appealing computation- ally due to better stability and flexibility properties compared to CFEM [1] [2] ...the finite element method is a ... See full document

... Abstract. Finite elements methods (FEMs) with numerical integration play a central role in nu- merical homogenization methods for partial differential equations with multiple scales, as the effective data in a ... See full document

... linear finite-element ba- sis ...each element, but may be discontinuous across edges of interface ...more element, then average the values and the tangential derivatives along ... See full document

... á‰çžL.ñSDUá‰cX†ñ3çED—gWàá‰ä ®Vä_XUçhà3CEäžãTdH D—X†á‰TWH3ê åSD—TdH–áØV¢à3gWáETdå3gWTdZ_Xlá‰TdDUH3ç aXUHã ChätgdX†á‰T‘i—4ä þX†áETdD LjDUî á‰cä2å3CED—åSD—çhätã ü.äMF ¨XUgdê—DUCETWáEc3V7[r] ... See full document

... the elliptic interface OCP (1)- (2), which could also be extended to parabolic and hyperbolic ...interface problems and obtained the suboptimal order error estimates in H 1 and L 2 norms when the interface ... See full document

... Galerkin finite element method [4, ...the finite element method using body-fitted ...several finite element methods have been proposed using Cartesian meshes for elastic and ... See full document