... the **finite** differences and **finite** **element** approximations of the two dimensional wave equation were ...A **mixed** **finite** **element** approximation was also proposed in [5] with good ...

46

... stabilized **mixed** **finite** **element** method for Darcy ...dual- **mixed** approach suitable residual type terms arising from Darcy’s law and the mass conservation ...

20

... new **mixed** **finite** **element** method for the generalized Stokes prob- ...the **finite** **element** subspaces providing stability coincide with those employed for the usual Stokes flows except for ...

27

... primal, **mixed** and augmented formulations for the DIR prob- lem, together with their **finite**-**element** discretization schemes for their numerical ...and **mixed** variational formulations, as well as ...

71

... stabilized **mixed** ﬁnite **element** method for plane linear elasticity was presented and analyzed recently in ...and **mixed** boundary conditions, ...ﬁnite **element** subspaces for the corresponding ...

27

... On the other hand, we recall that the application of adaptive algorithms, based on a posteriori error estimates, usually guarantees the quasi-optimal rate of convergence of the ﬁnite **element** solution to boundary ...

19

... mentioned gradient, the present analysis is much simpler than in [3,16], and leads to a stable Galerkin scheme with low-order ﬁnite **element** subspaces. Indeed, the extended PEERS space is not needed any more, and ...

12

... primal, **mixed** and augmented formulations for the DIR problem, together with their **finite**-**element** discretization schemes for their numerical ...and **mixed** variational formulations, as well as ...

27

... Abstract. The aim of this paper is to analyze a **mixed** **finite** **element** method for computing the vibration modes of a Timoshenko curved rod with arbitrary geometry. Optimal order error estimates are ...

14

... In this paper we consider inf-sup stable **mixed** **finite** **element** approximations to the model (2) with grad-div stabilization. Our aim is to prove error bounds with constants independent on inverse ...

17

... augmented **mixed** **finite** **element** schemes ...simplest **finite** **element** subspaces described in subsections ...augmented **mixed** schemes ...

31

... The remainder of the paper is structured as follows. In Section 2 we present the **mixed** **finite** **element** formulation, make some necessary definitions, and discuss the algebraic properties of the ...

17

... Figure 7 shows the sectional shape and dimensions of Hojobo’s Doza. Though the real Doza shape is circular, the FEM-simulated shape was configured with quadrilateral factors (See Fig. 1) on condition that the area of ...

7

... ABAQUS cannot report the stress field in the user defined elements; under these conditions a non enriched **element** in front of the crack tip must be analyzed to implement the minimum shear stress range criterion. ...

102

... We consider the same standard piecewise linear and continuous elements to discretize each variable on the solid displacement. For the ﬂuid displacement we choose the lowest degree Raviart- Thomas tetrahedral ﬁnite ...

6

... Examination of phenomena occurring in the nearfield of multi-**element** nonlinear source has been performed using arrangement shown in Figure 1. The PVdF needle hydrophone with a nominal diameter of 1 mm was scanned ...

6

... continuity requierements, including the fir9t deri vative or even the curvature. The most important aspect of the FEM both for this type of problem snd for other problems, involves the selection of shape or interpolation ...

7

... In the manufacturing industry, inspection procedures are becoming more common every day. This task constists on measuring how much difference ex- ists between the original-ideal object specified by the designer, and the ...

160

... T h e use of several k i n d s of elements within the family c a n relieve s o m e c o m p u t a t i o n a l effort. L o w degree elements can be used near t h e b o u n d a r y , n o r m a l l y in large n u m b e r s ...

25

... Abstract: This paper presents the results of research on **mixed** mode fracture of sandwich panels of plasterboard and rock wool. The experimental data of the performed tests are supplied. The specimens were made ...

8