On a Numerical Solution for Fundamental Vibrations of Elliptic Membranes

semi-analytical solution for static and forced vibration problems of laminated beams through smooth fundamental functions method

در این پایان نامه روش جدیدی مبتنی بر روش حل معادلات دیفرانسیل پارهای بر اساس روش توابع پایه برای حل مسایل ارتعاش اجباری واستاتیک تیرها و صفحات لایه ای ارایه شده است که می توان تفاوت این روش با روش های متداول توابع پایه را در استفاده از توابع هموار در ارضاء معادلات حاکم و شرایط مرزی دانست. در روش ارایه شده در این پایاننامه از معادله تعادل به عنوان معادله حاکم بر رفتار سیستم استفاده شده است که مو...

Numerical Solution of a Cauchy Problem for an Elliptic Equation

Numerical Solution of Elliptic Convection - Di usionProblems on Fitted

The problem of the transport of a quantity (heat, matter or momentum) by advection-diiusion is considered for arbitrarily large Peclet number in a two-dimensional domain. In some neighbourhoods of the boundary of the domain, boundary layers may appear for large Peclet number. It is well known that classical nite diierence methods do not yield approximate solutions with a guaranteed accuracy if ...

On the Numerical Solution of Elliptic Difference Equations

1 M. Herzberger, "The normal equations of the method of least squares and their solution," Quart. ofAppl. Math., v. 7, 1949, p. 217-223. 2 F. S. Shaw, An Introduction to Relaxation Methods, Dover Publications, Inc., New York, 1953. 3Olga Taussky, "Note on the condition of matrices," MTAC, v. 4, 1950, p. 111-112. 4 H. Polachek, "On the solution of systems of linear equations of high order," Nava...

Numerical solution of second-order elliptic equations on plane domains

— The paper présents a gênerai discretization method for convective diffusion équations. The schemes are hased on an intégral formula and have the following advantages : 1. They are effective particularly in the case when convection is dominated ; 2. Solutions obtained by them satisfy a discrete conservation law ; 3. A discrete maximum principle is valid. We show that the fïnite element solutio...