A Note on Symplectic, Multisymplectic Scheme in Finite Element Method
نویسندگان
چکیده
منابع مشابه
A Note on Symplectic, Multisymplectic Scheme in Finite Element Method
We find that with uniform mesh, the numerical schemes derived from finite element method can keep a preserved symplectic structure in one-dimensional case and a preserved multisymplectic structure in two-dimentional case in certain discrete version respectively. These results are in fact the intrinsic reason that the numerical experiments indicate that such finite element algorithms are accurat...
متن کاملOn Symplectic, Multisymplectic Structures-Preserving in Simple Finite Element Method
By the simple finite element method, we study the symplectic, multisymplectic structures and relevant preserving properties in some semi-linear elliptic boundary value problem in one-dimensional and two-dimensional spaces respectively. We find that with uniform mesh, the numerical schemes derived from finite element method can keep a preserved symplectic structure in one-dimensional case and a ...
متن کاملMultisymplectic Geometry Method for Maxwell's Equations and Multisymplectic Scheme *
In this paper we discussed the self-adjointness of the Maxwell’s equations with variable coefficients ε and μ. Three different Lagrangian are attained. By the Legendre transformation, a multisymplectic Bridge’s (Hamilton) form is obtained. Based on the multisymplectic structure, the multisymplectic conservation law of the system is derived and a nine-point Preissman multisymplectic scheme which...
متن کاملEfficiency of Anti-Hourglassing Approaches in Finite Element Method (TECHNICAL NOTE)
one of the simplest numerical integration method which provides a large saving in computational efforts, is the well known one-point Gauss quadrature which is widely used for 4 nodes quadrilateral elements. On the other hand, the biggest disadvantage to one-point integration is the need to control the zero energy modes, called hourglassing modes, which arise. The efficiency of four different an...
متن کاملA Proposed Modeling Method in Finite Element Slope Stability Analysis
Limit-equilibrium method (LEM) and finite element method (FEM) with strength reduction method (SRM) techniques are the most widely used analysis tools in slope stability assessment. Recently, researchers have reported that both factor of safety (FOS) values and failure surfaces obtained from LEM and FEM are generally in good agreement, except in some particular cases. In this paper, the FOS and...
متن کاملذخیره 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: Communications in Theoretical Physics
سال: 2001
ISSN: 0253-6102
DOI: 10.1088/0253-6102/36/3/259