A two-grid stabilized mixed finite element method for semilinear elliptic equations
نویسندگان
چکیده
منابع مشابه
Finite element methods for semilinear elliptic stochastic partial differential equations
We study finite element methods for semilinear stochastic partial differential equations. Error estimates are established. Numerical examples are also presented to examine our theoretical results. Mathematics Subject Classification (2000) 65N30 · 65N15 · 65C30 · 60H15
متن کاملA Two-Grid Method for Mixed Finite-Element Solution of Reaction-Di usion Equations
We present a scheme for solving two-dimensional, nonlinear reaction-diiusion equations, s @p @t ? r (Krp) = f (p); using a mixed nite-element method. To linearize the mixed-method equations, we use a two grid scheme that relegates all of the Newton-like iterations to a grid 4H much coarser than the original one 4h, with no loss in order of accuracy so long as the mesh sizes obey H = O(p h). The...
متن کاملErratum to: A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems
Example 6.2 For the second example, we consider the stabilized parameters μ = δ = 0.5. Table 2 shows that a first-order convergence is obtained for the control, which is well matched with the theoretical analysis. Figures 4, 5, and 6 show the approximate profiles of the control, the state, and the flux state, respectively, when the lowest order RT element is adopted for the approximation of the...
متن کاملA stabilized mixed finite element method for Darcy–Stokes flow
This paper presents a new stabilized finite element method for the Darcy–Stokes equations also known as the Brinkman model of lubrication theory. These equations also govern the flow of incompressible viscous fluids through permeable media. The proposed method arises from a decomposition of the velocity field into coarse/resolved scales and fine/unresolved scales. Modelling of the unresolved sc...
متن کاملA Stabilized Mixed Finite Element Method for Nearly Incompressible Elasticity
We present a new multiscale/stabilized finite element method for compressible and incompressible elasticity. The multiscale method arises from a decomposition of the displacement field into coarse (resolved) and fine (unresolved) scales. The resulting stabilizedmixed form consistently represents the fine computational scales in the solution and thus possesses higher coarse mesh accuracy. The en...
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: Applied Mathematical Modelling
سال: 2013
ISSN: 0307-904X
DOI: 10.1016/j.apm.2013.02.016