An augmented mixed finite element method for linear elasticity with non-homogeneous Dirichlet conditions.
An Automatic Search Procedure for Finding Real Zeros.
An Axiomatic Approach to Rounded Computations.
An axisymmetric PIC code based on isogeometric analysis⋆
Isogeometric analysis has been developed recently to use basis functions resulting from the CAO description of the computational domain for the finite element spaces. The goal of this study is to develop an axisymmetric Finite Element PIC code in which specific spline Finite Elements are used to solve the Maxwell equations and the same spline functions serve as shape function for the particles. The computational domain itself is defined using splines...
An eddy current problem in terms of a time-primitive of the electric field with non-local source conditions
The aim of this paper is to analyze a formulation of the eddy current problem in terms of a time-primitive of the electric field in a bounded domain with input current intensities or voltage drops as source data. To this end, we introduce a Lagrange multiplier to impose the divergence-free condition in the dielectric domain. Thus, we obtain a time-dependent weak mixed formulation leading to a degenerate parabolic problem which we prove is well-posed. We propose a finite element method for space...
An effective method for solving fractional integro-differential equations.
An effective numerical method and its utilization to solution of fractional models used in bioengineering applications.
An efficiency analysis of the parallel multitransputer implementation of two-level optimization algorithms
The paper presents an approach to improve the efficiency of some two-level optimization algorithms by their implementation in parallel MIMD multiprocessor systems. Diagonal decomposition dynamic programming and parametric optimization methods are considered, and some concepts of their parallelization are discussed. Results regarding the implementation of computations in a parallel multitransputer system are presented. For the analysed problems, the obtained values of speedup are close to the theoretical...
An efficient algorithm for computing real powers of a matrix and a related matrix function
The paper is devoted to an algorithm for computing matrices and for a given square matrix and a real . The algorithm uses the binary expansion of and has the logarithmic computational complexity with respect to . The problem stems from the control theory.
An efficient applications of He's variational iteration method based on a reliable modification of Adomian algorithm for nonlinear boundary value problems.
An efficient approach for solving a class of nonlinear parabolic PDEs.
An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier–Stokes flows
We present the current Reduced Basis framework for the efficient numerical approximation of parametrized steady Navier–Stokes equations. We have extended the existing setting developed in the last decade (see e.g. [S. Deparis, SIAM J. Numer. Anal. 46 (2008) 2039–2067; A. Quarteroni and G. Rozza, Numer. Methods Partial Differ. Equ. 23 (2007) 923–948; K. Veroy and A.T. Patera, Int. J. Numer. Methods Fluids 47 (2005) 773–788]) to more general affine and nonaffine parametrizations (such as volume-based...
An Efficient Degree-Computation Method for a Generalized Method of Bisection.
An efficient finite element method for nonlinear diffusion problems
An efficient generalization of the Rush--Larsen method for solving electro-physiology membrane equations.
An efficient linear numerical scheme for the Stefan problem, the porous medium equation and nonlinear cross-diffusion systems
This paper deals with nonlinear diffusion problems which include the Stefan problem, the porous medium equation and cross-diffusion systems. We provide a linear scheme for these nonlinear diffusion problems. The proposed numerical scheme has many advantages. Namely, the implementation is very easy and the ensuing linear algebraic systems are symmetric, which show low computational cost. Moreover, this scheme has the accuracy comparable to that of the wellstudied nonlinear schemes and make it possible...
An Efficient Method for Calculating Smoothing Splines Using Orthogonal Transformations.
An efficient start system for multi-homogeneous polynomial continuation.
An efficient zero-stable numerical method for fourth-order differential equations.
An Eigenvalue Algorithm for Skew-Symmetric Matrices.