L2-ERROR ANALYSIS OF FULLY DISCRETE DISCONTINUOUS GALERKIN APPROXIMATIONS FOR NONLINEAR SOBOLEV EQUATIONS
نویسندگان
چکیده
منابع مشابه
L2-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations. We construct finite element spaces on which we develop fully discrete approximations using extrapolated Crank-Nicolson method. We adopt an appropriate elliptic-type projection, which leads to optimal ∞ L2 error estimates of discontinuous Galerk...
متن کاملError Estimates for a Discontinuous Galerkin Method with Interior Penalties Applied to Nonlinear Sobolev Equations
A Discontinuous Galerkin method with interior penalties is presented for nonlinear Sobolev equations. A semi-discrete and a family of fully-discrete time approximate schemes are formulated. These schemes are symmetric. Hp-version error estimates are analyzed for these schemes. For the semi-discrete time scheme a priori L∞(H 1) error estimate is derived and similarly, l∞(H 1) and l2(H 1) for the...
متن کاملA Unified a Posteriori Error Analysis for Discontinuous Galerkin Approximations of Reactive Transport Equations
Four primal discontinuous Galerkin methods are applied to solve reactive transport problems, namely, Oden-Babuška-Baumann DG (OBB-DG), non-symmetric interior penalty Galerkin (NIPG), symmetric interior penalty Galerkin (SIPG), and incomplete interior penalty Galerkin (IIPG). A unified a posteriori residual-type error estimation is derived explicitly for these methods. From the computed solution...
متن کاملAnalysis of a posteriori error estimates of the discontinuous Galerkin method for nonlinear ordinary differential equations
Article history: Received 23 April 2015 Received in revised form 3 February 2016 Accepted 31 March 2016 Available online xxxx I would like to dedicate this work to my Father, Ahmed Baccouch, who unfortunately passed away during the completion of this work
متن کاملOn Fully Discrete Galerkin Approximations for Partial Integro-differential Equations of Parabolic Type
The subject of this work is the application of fully discrete Galerkin finite element methods to initial-boundary value problems for linear partial integro-differential equations of parabolic type. We investigate numerical schemes based on the Padé discretization with respect to time and associated with certain quadrature formulas to approximate the integral term. A preliminary error estimate i...
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: Bulletin of the Korean Mathematical Society
سال: 2011
ISSN: 1015-8634
DOI: 10.4134/bkms.2011.48.5.897