Spectral Elements

نویسنده

  • Kelly Black
چکیده

A spectral-element technique to approximate partial diierential equations on an innnite domain is examined. The method is based on Boyd's mapping of a semi-innnite interval to a nite interval, and it is extended to a variational setting which allows for an implementation using a spectral-element method. By extending the method to a variational form, a straightforward implementation allows for high order approximations over an innnite computational domain.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Elimination of Chemical and Spectral Interferences in Measurement of Trace Elements in Urine and Blood by Combined Electrodeposition-Electrothermal Atomic Absorption Spectrometry

A combined electrodeposition-ETAAS technique has been applied to the analysis of Pb, Cd, Co, Ni, Cr and Mn in biological samples in order to overcome interferences and to minimize sample pretreatment. It requires minimal sample preparation with the electrolysis process aiding partial decomposition of the organic matrix, adequate for the release and deposition of trace elements. In an initia...

متن کامل

Equivalent a posteriori error estimates for spectral element solutions of constrained optimal control problem in one dimension

‎In this paper‎, ‎we study spectral element approximation for a constrained‎ ‎optimal control problem in one dimension‎. ‎The equivalent a posteriori error estimators are derived for‎ ‎the control‎, ‎the state and the adjoint state approximation‎. ‎Such estimators can be used to‎ ‎construct adaptive spectral elements for the control problems.

متن کامل

یافتن آسیب‌دیدگی در تیر و میله به‌روش انتشار موج با استفاده از المان‌های محدود طیفی

In this paper, wave propagation method was applied to detect damage of structures. Spectral Finite Element Method (SFEM) was used to analyze wave propagation in structures. Two types of structures i.e. rod and Euler-Bernoulli beam were modelled using spectral elements. The advantage of spectral finite element over conventional Finite Element Method (FEM), in wave propagation problems, is its...

متن کامل

Nonlinear Finite Element Analysis of Bending of Straight Beams Using hp-Spectral Approximations

Displacement finite element models of various beam theories have been developed using traditional finite element interpolations (i.e., Hermite cubic or equi-spaced Lagrange functions). Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, total rotation φ and/or shear strain γxz, or in the integral form u...

متن کامل

A numerical technique for solving a class of 2D variational problems using Legendre spectral method

An effective numerical method based on Legendre polynomials is proposed for the solution of a class of variational problems with suitable boundary conditions. The Ritz spectral method is used for finding the approximate solution of the problem. By utilizing the Ritz method, the given nonlinear variational problem reduces to the problem of solving a system of algebraic equations. The advantage o...

متن کامل

hp-Spectral Finite Element Analysis of Shear Deformable Beams and Plates

There are different finite element models in place for predicting the bending behavior of shear deformable beams and plates. Mostly, the literature abounds with traditional equi-spaced Langrange based low order finite element approximations using displacement formulations. However, the finite element models of Timoshenko beams and Mindlin plates with linear interpolation of all generalized disp...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1998