An expanded mixed finite element method for two-dimensional Sobolev equations
نویسندگان
چکیده
منابع مشابه
Expanded Mixed Finite Element Method for the Two-Dimensional Sobolev Equation
Expanded mixed finite element method is introduced to approximate the two-dimensional Sobolev equation. This formulation expands the standard mixed formulation in the sense that three unknown variables are explicitly treated. Existence and uniqueness of the numerical solution are demonstrated. Optimal order error estimates for both the scalar and two vector functions are established.
متن کاملAn Enhanced Finite Element method for Two Dimensional Linear Viscoelasticity using Complex Fourier Elements
In this paper, the finite element analysis of two-dimensional linear viscoelastic problems is performed using quadrilateral complex Fourier elements and, the results are compared with those obtained by quadrilateral classic Lagrange elements. Complex Fourier shape functions contain a shape parameter which is a constant unknown parameter adopted to enhance approximation’s accuracy. Since the iso...
متن کاملA Godunov-Mixed Finite Element Method on Changing Meshes for the Nonlinear Sobolev Equations
and Applied Analysis 3 estimates in L2-norm under very general changes in the mesh in Section 4. In Section 5, we present results of numerical experiment, which confirm our theoretical results. Throughout the analysis, the symbol K will denote a generic constant, which is independent of mesh parameters Δt and h and not necessarily the same at different occurrences. 2. The Godunov-Mixed Method o...
متن کاملExpanded Mixed Finite Element Methods
We develop a new mixed formulation for the numerical solution of second-order elliptic problems. This new formulation expands the standard mixed formulation in the sense that three variables are explicitly treated: the scalar unknown, its gradient, and its ux (the coeecient times the gradient). Based on this formulation, mixed nite element approximations of the second-order elliptic problems ar...
متن کاملA New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations
A new positive definite expanded mixed finite element method is proposed for parabolic partial integrodifferential equations. Compared to expanded mixed scheme, the new expanded mixed element system is symmetric positive definite and both the gradient equation and the flux equation are separated from its scalar unknown equation. The existence and uniqueness for semidiscrete scheme are proved an...
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 Computational and Applied Mathematics
سال: 2019
ISSN: 0377-0427
DOI: 10.1016/j.cam.2018.08.041