galerkin s method for deriving beam element equations

... follows In Section 2, we specify some hypotheses, precise sense of the weak solution, then we state the main results and some Lemmas that needed in the sequel In Section 3, by the Rothe Galerkin method, ... uniqueness of solution as well as some regularity results are obtained via Rothe Galerkin method Keywords: Rothe s method; a priori estimate; integrodifferential equation; Galerkin method; weak solution ... problems were investigated In general, existence of solutions for a class of nonlinear evolution equations of second order is proved by studying a full discretization The article is organized as follows...

Ngày tải lên: 21/06/2014, 17:20

... forms of the phase function for some typical cases in both SAR and ISAR systems (1) For nonmoving targets in SAR systems and for constant velocity targets in ISAR systems, the phase function can ... (2) So, the received signal is a 2D complex sinusoid (2) Phase function of moving targets in the SAR systems is analyzed in [1] Similar results are observed in some ISAR systems with uniform ... ISAR targets with fast and 3D maneuvers can produce phase function of the form SIGNAL MODEL In both SAR and ISAR systems series of signals is transmitted toward radar target Commonly, these signals...

Ngày tải lên: 22/06/2014, 19:20

... ghost point, and solving (5.5) for the ghost cells simultaneously with the flow equations on the fluid domain solves the system This method has been quite successful for simulating viscous flows ... accomplished When flow problems involve very stiff or rigid bodies, continuous forcing is likely to cause trouble since most methods give rise to ”stiff” numerical systems Satisfactory results have ... thesis is the result of a literature study on Immersed Boundary Methods (IBMs) The literature study is based on a selected number of articles, presentations and conversations Its purpose is not...

Ngày tải lên: 11/07/2014, 23:20

... and loss of neurons (Fig 7C), with a similar loss evident for all peptides Discussion Because extensive evidence supports a crucial role for Ab in Alzheimer s disease pathogenesis, there is huge ... urea Mass spectrometry, amino acid analysis and sequencing Amino acid analysis was performed at the Amino Acid Analysis Center, University of Uppsala, Sweden Sequence analysis was performed using ... V All reagents were supplied by Electron Microscopy Sciences (Hatfield, PA, USA) Assessement of SEC-isolated peptides by HPLC and SDS-PAGE Samples (100 lL) of peptides isolated by SEC were injected...

Ngày tải lên: 18/02/2014, 13:20

Ngày tải lên: 17/03/2014, 13:45

... 3: Assembly: A set of simultaneous equations is formed via assembly of element characteristics for the unknown state variables Step 4: Solution of equations: The simultaneous equations are solved ... entrance is Qm3 /s Neglecting any loss of mass, construct a system of simultaneous equations to calculate the pressure distribution at selected points using a discrete system analysis Assume laminar ... the chips is limited to less than 100 ◦ C, is again a success story for heat transfer analysis Although there are many successful heat transfer designs, further developments are still necessary...

Ngày tải lên: 17/03/2014, 13:53

... It is shown in [5] that the class of asymptotically κ-strictly pseudocontractive mappings and the class of κ-strictly pseudocontractive mappings are independent A mapping T is said to be uniformly ... modified Mann iterative processes for this class of mappings Moreover, a strong convergence theorem was also established in a real Hilbert space by hybrid projection method They proved the following ... processes for asymptotically nonexpansive mappings Proc Am Math Soc 122(3), 733–739 (1994) [11] Huang, Z: Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings Comput...

Ngày tải lên: 18/06/2014, 22:20

... velocity and pressure spaces Based on our results, we can assert that the mixed stabilized discontinuous Galerkin formulation of the incompressible miscible displacement problem is mathematically ... Discontinuous finite element methods for the Stokes equations Chin J Numer Math and Appl 28, 163–174 (2006) 16 Luo, Y, Feng, M: A discontinuous element pressure gradient stabilization for the Stokes ... discontinuous Galerkin methods can be found in [13] In this paper, we analyze a fully discrete finite element method with the stabilized mixed discontinuous Galerkin methods for the incompressible miscible...

Ngày tải lên: 20/06/2014, 22:20

... Saud University—Science In press 20 A S Bataineh, M S M Noorani, and I Hashim, “Solving systems of ODEs by homotopy analysis method, ” Communications in Nonlinear Science and Numerical Simulation, ... Integro-Differential equations 13 , nonlinear dispersive K m, n, equations 14 , Long Porous Slider equation 15 , and Navier-Stokes equations 16 It can be said that He s homotopy perturbation method is a universal ... applications discussed above, were performed by MATHEMATICA The NHPM is very simple in application and is less computational more accurate in comparison with other mentioned methods By using this method, ...

Ngày tải lên: 21/06/2014, 05:20

... otherwise difficult to model Among various kinds of fuzzy methods, Takagi-Sugeno T -S fuzzy model provides a successful method to describe certain complex nonlinear systems using some local linear subsystems ... fuzzy drive and response systems, is proposed for time delayed chaotic systems with unknown parameters Based on Lyapunov-Krasovskii stability theory and LMI formulation, the proposed scheme can guarantee ... model-based chaos control and synchronization, most works were restricted to chaotic systems without time-delay Due to finite signal transmission times, switching speeds and memory effects, time...

Ngày tải lên: 21/06/2014, 07:20

... One of the simplest ways to derive such methods consists of using a class of special meshes such as Bakhvalov meshes; see, e.g., 18–24 , which is constructed a priori and depend on the perturbation ... is considered and a comparison of the numerical and exact solutions is presented In the works of Amiraliyev and Erdogan , special meshes Shishkin mesh have been used The method that we propose ... t rs ≤ s ≤ m for small values of ε In the present paper we discretize 1.1 - 1.2 using a numerical method which is composed of an implicit finite difference scheme on special Bakhvalov meshes for...

Ngày tải lên: 21/06/2014, 07:20

... respectively Thus, 1,T 3.14 It follows from the definition of K that T Φy t G1 t, s r s f s, ys t∈ 1,T t∈ 1,T ≥m us s T r s f s, ys us s ≥ ≥ which implies that Φ K ⊂ K m T Ms max G1 t, s 1 s, t≤T ... 1 s, t≤T r s f s, ys T m max G1 t, s r s f s, ys M t∈ 1,T s m Φy , M us us 3.15 Boundary Value Problems 13 Lemma 3.4 Suppose that (H1 ) holds Then Φ : K → K is completely continuous We assume that ... well-posedness of BVP 1.9 , since the function f depends on the term ut i.e., past values of u As usual, a sequence {u −τ , , u T } is said to be a positive solution of BVP 1.9 if it satisfies...

Ngày tải lên: 21/06/2014, 11:20

... Applications Substituting 2.22 into 2.21 , we have the following results: u1 x sin ax u2 x λ sin ax π/2a a λ cos ax sin at dt a π/2a cos ax sin ax λ sin ax a λ cos at dt cos ax sin at sin ax u3 x λ cos ... is T -stable Acknowledgments The authors would like to thank referees and area editor Professor Nan-jing Huang for giving useful comments and suggestions for the improvement of this paper This ... Analysis, Addison-Wesley, Reading, Mass, USA, 1969 ¨ 12 R Saadati, M Dehghan, S M Vaezpour, and M Saravi, “The convergence of He s variational iteration method for solving integral equations, ”...

Ngày tải lên: 21/06/2014, 20:20

... Advances in Difference Equations ways to derive such methods consists of using an exponentially fitted difference scheme see, e.g., 10 for motivation for this type of mesh , which are constructed ... functions satisfying certain regularity conditions to be specified and r is a constant delay The solution u t displays in general boundary layers at the right side of each points t rs ≤ s ≤ m for small ... special meshes Shishkin mesh have been used The method that we propose in this paper uses exponential fitting schemes, which have coefficients of exponential type Statement of the Problem Consider a...

Ngày tải lên: 22/06/2014, 11:20

... comparison with the other formal method requires the analysis of its results We conclude with Section Main result 2.1 Formal asymptotic solution In this section, we develop a perturbation method ... Perturbation method for difference equations Proof From (3.12) and (3.20), we deduce (0) (− (− ( s+ m (0) (0) ys(0) = yt ,s + w0 ,s s) + w1 ,s s+1) + · · · + wm−1 ,s −1) = yt ,s + ws ,s = s , s = 0,1, ,m ... applications: an overview, Dynamics of Continuous, Discrete & Impulsive Systems Series B Applications & Algorithms (2002), no 2, 233–278 [10] D S Naidu and A J Calise, Singular perturbations and time scales...

Ngày tải lên: 22/06/2014, 22:20

... equations in the spaces and arises from various problems of mathematics, physics, p p and biology, such as probability problems, problems concerning integral equations, generating analytic functions, ... base {ei, j,n }, i, j,n = 1,2, (For reasons of simplicity, we will use the symbols i, j, and n instead of the symbols i1 , i2 , and i3 , respectively.) Using (2.6), we find the abstract forms ... method using two characteristic examples of difference equations arising in a problem of mathematics and a problem of physics More precisely, we will establish conditions so that the difference equations...

Ngày tải lên: 23/06/2014, 00:20

... — Sxzs;z — %YSZZ — c1 = (Svvszz S; z )/co, c4= (s, zszz -sz,szz)/f% C2= (s= zszz s: z)/co, C5= C3 = (Szzsyy c6 = (sz@yz % = %v$yyszz and n + Zsxysyzszz — S: V)/f%> n Szzs:g (63) (64) (szzszv–svzszz)/co ... examples presented here assume small deformations of a linear, elastic, isotropic material As such, it is convenient to assemble the element stiffness matrices into the system stiffness matrix ... spurious zero energy modes In this study we only consider hourglass stiffness, but one could easily include hourglass damping for problems in dynamics Hourglass stiffness is designed to provide restoring...

Ngày tải lên: 27/06/2014, 14:20

... Ditzler A: State syringe and drug possession laws potentially influencing safe syringe disposal by injection drug users J Am Pharm Assoc (Wash) 2002, 42 :S9 4-98 Small D: Two cultures passing in the ... drug use Possession of injection equipment for the purpose of injecting illicit drugs is unlawful in many U .S jurisdictions, severely restricting syringe access [8-10] A recent study of 89 U .S cities ... behaviors Because of this reality, harmonizing policing practice with evidence-based public health programs such as SAPs is an essential element of successful public health efforts directed at these...

Ngày tải lên: 11/08/2014, 18:20

... consists in summing the coefficients of Ak to the coefficients of the original system at the locations relative to its associated nodal pressures This procedure is shown for a three-port acoustical ... dynamic condensation is used to express the stiffness matrix in terms of pressures and volume flow rates at the input and output surfaces of the unit Finally, the condensed stiffness matrix is converted ... model used for the previous simulation If This work has first presented a hybrid method for coupling transfer matrix and finite element method The transfer matrix has been expressed in terms of a symmetric...

Ngày tải lên: 03/12/2014, 23:41