Hamiltonian Finite Element Discretization for Nonlinear Free Surface Water Waves
نویسندگان
چکیده
منابع مشابه
Quasi ALE finite element method for nonlinear water waves
Online is checked for eligibility for copyright before being made available in the live archive. URLs from City Research Online may be freely distributed and linked to from other web pages. Enquiries If you have any enquiries about any aspect of City Research Online, or if you wish to make contact with the author(s) of this paper, please email the team at [email protected]. Abstract This ...
متن کاملA Finite Element Method for Fully Nonlinear Water Waves
A Finite Element Method for Fully Nonlinear Water Waves Xing Cai,∗ Hans Petter Langtangen,† Bjørn Fredrik Nielsen,∗ and Aslak Tveito∗ ∗Department of Informatics, University of Oslo, P.O. Box 1080 Blindern, N-0316, Oslo, Norway; and †Mechanics Division, Department of Mathematics, University of Oslo, P.O. Box 1053 Blindern, N-0316, Oslo, Norway E-mail: [email protected], [email protected], bjornn@i...
متن کاملA Hamiltonian Approach to Nonlinear Modulation of Surface Water Waves
Many wave phenomena in physics are described by weakly nonlinear nearly monochromatic solutions in the form of modulated wave packets. The examples include ocean waves as well as waves in optics and in plasmas. There are a number of approaches to deriving the envelope equations for these theories of amplitude modulation. In this paper, we give a unified approach, based on the principles of a Ha...
متن کاملFinite Element Approximations of Nonlinear Elastic Waves
In this paper we study finite element methods for a class of problems of nonlinear elastodynamics. We discretize the equations in space using Galerkin methods. For the temporal discretization, the construction of our schemes is based on rational approximations of cosx and ex . We analyze semidiscrete as well as secondand fourth-order accurate in time fully discrete methods for the approximation...
متن کاملFinite Element Method with Superconvergence for Nonlinear Hamiltonian Systems
This paper is concerned with the finite element method for nonlinear Hamiltonian systems from three aspects: conservation of energy, symplicity, and the global error. To study the symplecticity of the finite element methods, we use an analytical method rather than the commonly used algebraic method. We prove optimal order of convergence at the nodes tn for mid-long time and demonstrate the symp...
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: Journal of Scientific Computing
سال: 2017
ISSN: 0885-7474,1573-7691
DOI: 10.1007/s10915-017-0416-9