Galerkin single-step methods for second-order hyperbolic equations

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An H-galerkin Mixed Method for Second Order Hyperbolic Equations

An H1Galerkin mixed finite element method is discussed for a class of second order hyperbolic problems. It is proved that the Galerkin approximations have the same rates of convergence as in the classical mixed method, but without LBB stability condition and quasi-uniformity requirement on the finite element mesh. Compared to the results proved for one space variable, the L∞(L2)-estimate of the...

متن کامل

Discontinuous Galerkin finite element methods for second order hyperbolic problems

In this paper, we prove a priori and a posteriori error estimates for a finite element method for linear second order hyperbolic problems (linear wave equations) based on using spacetime finite element discretizations (for displacements and displacement velocities) with (bilinear) basis functions which are continuous in space and discontinuous in time. We refer to methods of this form as discon...

متن کامل

Multistep-Galerkin Methods for Hyperbolic Equations

Multistep methods for firstand second-order ordinary differential equations are used for the full discretizations of standard Galerkin approximations to the initial-periodic boundary value problem for first-order linear hyperbolic equations in one space dimension and to the initial-boundary value problem for second-order lin2 ear selfadjoint hyperbolic equations in many space dimensions. L -err...

متن کامل

Semidiscrete and single step fully discrete approximations for second order hyperbolic equations

Fimte element approximations are analysed, for initial boundary value problems far second ox&ezJiyperboUc équations For both semidiscrete andfully discrete schémas, optimal order rate o f convergence estimâtes in L are der wed, us ing L projections of the initial data as starting values À new class of single step fully discrete schemes is developed, which are high order accurate in time The sch...

متن کامل

Space-time Finite Element Methods for Second-order Hyperbolic Equations*

Space-time finite element methods are presented to accurately solve elastodynamics problems that include sharp gradients due to propagating waves. The new methodology involves finite element discretization of the time domain as well as the usual finite element discretization of the spatial domain. Linear stabilizing mechanisms are included which do not degrade the accuracy of the space-time fin...

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

ژورنال

عنوان ژورنال: Computers & Mathematics with Applications

سال: 1986

ISSN: 0898-1221

DOI: 10.1016/0898-1221(86)90184-7