Matrix algebra and the Rayleigh-Ritz technique are applied to the development of the finite element method. The minimum potential energy theorem, calculus of variations, Galerkin's and the ...

SIAM Journal on Numerical Analysis, Vol. 47, No. 2 (2009), pp. 1421-1444 (24 pages) The performance of finite element computation depends strongly on the quality of the geometric mesh and the ...

Princeton's Dr. Jean H. Prévost and Serguei Bagrianski have released a book with World Scientific, entitled, An Introduction to Matrix Structural Analysis and Finite Element Methods. Based on a course ...

Using novel theoretical and modeling tools such as finite element analysis can greatly accelerate widespread applications in many areas of nanotechnology. Polymer reinforcement using fillers is a ...

Earn Your Structural Engineering Certificate in Advanced Analysis from One of the Top-Ranked Engineering Schools. Through their careful examination of complex structures, both large and small, ...

What is Finite Element Analysis? The finite element analysis is an extensively used method for computationally solving partial differential equations in technology and mathematics. The classic domains ...

Superconvergence of the mixed finite element methods for 2-d Maxwell equations is studied in this paper. Two order of superconvergent factor can be obtained for the k-th Nedelec elements on the ...