In this paper, a positive definite semi-discrete mixed finite element method was presented for two-dimensional parabolic equations. In the new positive definite systems, the gradient equation and flux equations were separated from their scalar unknown equations.  Also, the existence and uniqueness of the semi-discrete mixed finite element solutions were proven. Error estimates were also obtaine...

A local a priori and a posteriori analysis is developed for the Galerkin method with discontinuous finite elements for solving stationary diffusion problems. The main results are an optimal-order estimate for the point-wise error and a corresponding a posteriori error bound. The proofs are based on weighted -norm error estimates for discrete Green functions as already known for the ‘continuous’...

Deformable models are used in many computer graphic and animation applications, such as virtual environments, video games, medical simulations, and engineering analysis. Techniques for simulating deformable objects often require a mesh of discrete, tetrahedral elements that represent the object being modeled. This paper describes the implementation of a fast and robust method to generate a tetr...

We consider interpolation inequalities for imbeddings of the l2-sequence spaces overd-dimensional lattices into the l∞ 0 spaceswritten as interpolation inequality between the l2-norm of a sequence and its difference. A general method is developed for finding sharp constants, extremal elements and correction terms in this type of inequalities. Applications to Carlson’s inequalities and spectral ...

This work presents the first experimental characterization of flow field in vicinity periodically spaced discrete roughness elements (DRE) a swept wing boundary layer. The time-averaged velocity fields are acquired volumetric domain by high-resolution dual-pulse tomographic particle tracking velocimetry. Investigation stationary topology indicates that near-element region is dominated high- and...