Third formulation of the space-time finite element method
نویسندگان
چکیده
منابع مشابه
buckling of viscoelastic composite plates using the finite strip method
در سال های اخیر، تقاضای استفاده از تئوری خطی ویسکوالاستیسیته بیشتر شده است. با افزایش استفاده از کامپوزیت های پیشرفته در صنایع هوایی و همچنین استفاده روزافزون از مواد پلیمری، اهمیت روش های دقیق طراحی و تحلیل چنین ساختارهایی بیشتر شده است. این مواد جدید از خودشان رفتارهای مکانیکی ارائه می دهند که با تئوری های الاستیسیته و ویسکوزیته، نمی توان آن ها را توصیف کرد. این مواد، خواص ویسکوالاستیک دارند....
A space-time finite element formulation for fluid-structure interaction
We present a space-time finite element formulation of the Navier-Stokes equations which is stabilized via the Galerkin/least-squares approach. The variational equation is based on the time discontinuous Galerkin method and is written in terms of the physical entropy variables over the moving and deforming space-time slabs. The formulation thus becomes analogous to the classical arbitrary Lagran...
متن کاملA space-time finite element method for the wave equation*
where n is a bounded open domain in R d with d ffi 1, 2 and T > 0. We have restricted our attention to a specific problem entirely to keep the presentation simple. Our results apply to considerably more general second-order hyperbolic problems. Typically an approximation to (1) is found by first discretizing in space to obtain the semidiscrete problem that consists of ordinary differential equa...
متن کاملA Space-time Finite Element Method for the Nonlinear Schrödinger Equation: the Discontinuous Galerkin Method
The convergence of the discontinuous Galerkin method for the nonlinear (cubic) Schrödinger equation is analyzed in this paper. We show the existence of the resulting approximations and prove optimal order error estimates in L∞(L2). These estimates are valid under weak restrictions on the space-time mesh.
متن کاملA space-time finite element method for the nonlinear Schröinger equation: the discontinuous Galerkin method
The convergence of the discontinuous Galerkin method for the nonlinear (cubic) Schrödinger equation is analyzed in this paper. We show the existence of the resulting approximations and prove optimal order error estimates in L∞(L2). These estimates are valid under weak restrictions on the space-time mesh.
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: IOP Conference Series: Materials Science and Engineering
سال: 2021
ISSN: 1757-8981,1757-899X
DOI: 10.1088/1757-899x/1015/1/012005