For a plane polygonal domain Q and a corresponding (general) triangulation we define classes of functions pmix, v) which are polynomials on each triangle and which are in C^'CQ) and also belong to the Sobolev space ^""^'(n). Approximation theoretic properties are proved concerning these functions. These results are then applied to the approximate solution of arbitrary-order elliptic boundary va...

This work shows that the method of charcteristics is well suited for the numerical solution of first order hyperbolic partial differential equations whose coefficients are approximated by functions piecewise constant on a finite element triangulation of the domain of integration. We apply this method to the numerical solution of Euler's equation and prove convergence when the time step and the ...

friction welding is widely used in various industries. in friction welding, heat is generated by conversion of mechanical energy into thermal energy at the interface the work pieces during pin rotation under pressure. a three-dimensional thermo mechanical simulation of friction stir welding (fsw) processes is carried out for aluminium alloys of 6061and 7050 where the simulation results are comp...

Generally, the finite element method is a powerful procedure for analysis of tall buildings. Yet, it should be noted that there are some problems in the application of many finite elements to the analysis of tall building structures. The presence of artificial flexure and parasitic shear effects in many lower order plane stress and membrane elements, cause the numerical procedure to converge in...

Historical masonry structures are important parts of our cultural heritage and the transfer these to future generations is one most problems in field conservation. These can be damaged by long-term natural events or sudden causes such as earthquakes, floods, avalanches, well adverse environmental conditions human-based reasons. Finite element analysis appropriate method for structural historica...