On condition numbers in hp-FEM with Gauss–Lobatto-based shape functions

On condition numbers in hp-FEM with Gauss-Lobatto Based Shape Functions

Fast Summation Techniques for Sparse Shape Functions in Tetrahedral hp-FEM

This paper considers the hp-finite element discretization of an elliptic boundary value problem using tetrahedral elements. The discretization uses a polynomial basis in which the number of nonzero entries per row is bounded independently of the polynomial degree. The authors present an algorithm which computes the nonzero entries of the stiffness matrix in optimal complexity. The algorithm is ...

New Image Compression Algorithm Based on Adaptive hp-FEM

We present a new compression algorithm for two-and three-dimensional volume data (such as images or continuous fields). The technique is based on orthogonal projection of the data to spaces of polynomial functions and it works analogously to adaptive hp-FEM for the solution of partial differential equations. The algorithm has extremely high compression rates and guarantees to achieve any prescr...

study of hash functions based on chaotic maps

توابع درهم نقش بسیار مهم در سیستم های رمزنگاری و پروتکل های امنیتی دارند. در سیستم های رمزنگاری برای دستیابی به احراز درستی و اصالت داده دو روش مورد استفاده قرار می گیرند که عبارتند از توابع رمزنگاری کلیددار و توابع درهم ساز. توابع درهم ساز، توابعی هستند که هر متن با طول دلخواه را به دنباله ای با طول ثابت تبدیل می کنند. از جمله پرکاربردترین و معروف ترین توابع درهم می توان توابع درهم ساز md4, md...

On Efficient Solution of Linear Systems Arising in hp-FEM

This contribution studies the static condensation of internal degrees of freedom which allows for efficient solution of linear algebraic systems arising in higher-order finite element methods. On each element, the static condensation eliminates the degrees of freedom corresponding to the internal (or bubble) basis functions. The elimination is local in elements and can be done in parallel. The ...