Analysis of mixed finite element methods for fourth-order wave 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 Adaptive Least-Squares Mixed Finite Element Method for Fourth- Order Elliptic Equations

A least-squares mixed finite element (LSMFE) method for the numerical solution of fourth-order elliptic equations is analyzed and developed in this paper. The a posteriori error estimator which is needed in the adaptive refinement algorithm is proposed. The local evaluation of the least-squares functional serves as a posteriori error estimator. The posteriori errors are effectively estimated.

متن کامل

Mixed finite element methods for geometric modeling using general fourth order geometric flows

Article history: Received 24 June 2008 Received in revised form 2 November 2008 Accepted 15 December 2008 Available online 7 February 2009

متن کامل

Mixed Finite Element Methods for Fourth Order Elliptic Optimal Control Problems

In this paper, a priori error estimates are derived for the mixed finite element discretization of optimal control problems governed by fourth order elliptic partial differential equations. The state and co-state are discretized by RaviartThomas mixed finite element spaces and the control variable is approximated by piecewise constant functions. The error estimates derived for the state variabl...

متن کامل

Solution of Wave Equations Near Seawalls by Finite Element Method

A 2D finite element model for the solution of wave equations is developed. The fluid is considered as incompressible and irrotational. This is a difficult mathematical problem to solve numerically as well as analytically because the condition of the dynamic boundary (Bernoulli’s equation) on the free surface is not fixed and varies with time. The finite element technique is applied to solve non...

متن کامل

Symplectic-mixed finite element approximation of linear acoustic wave equations

We apply mixed finite element approximations to the first-order form of the acoustic wave equation. The semidiscrete method exactly conserves the system energy. A fully discrete method employing the symplectic Euler time method in time exactly conserves a positive-definite pertubed energy functional that is equivalent to the actual energy under a CFL condition. In addition to proving optimal-or...

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: 2013

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2012.10.002