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Results 1 - 10
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651
Superconvergence of the Mixed Finite Element Approximations to Parabolic Equations
, 1994
"... Semidiscrete mixed finite element approximation to parabolic initialboundary value problems is introduced and analyzed. Superconvergence estimates for both pressure and velocity are obtained. The estimates for the errors in pressure and velocity depend on the smoothness of the initial data inclu ..."
Abstract
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Cited by 31 (6 self)
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Semidiscrete mixed finite element approximation to parabolic initialboundary value problems is introduced and analyzed. Superconvergence estimates for both pressure and velocity are obtained. The estimates for the errors in pressure and velocity depend on the smoothness of the initial data
A symmetric finite volume element scheme on quadrilateral grids and superconvergence
"... Abstract. A symmetric finite volume element scheme on quadrilateral grids is established for a class of elliptic problems. The asymptotic error expan-sion of finite volume element approximation is obtained under rectangle grids, which in turn yields the error estimates and superconvergence of the av ..."
Abstract
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Cited by 2 (1 self)
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Abstract. A symmetric finite volume element scheme on quadrilateral grids is established for a class of elliptic problems. The asymptotic error expan-sion of finite volume element approximation is obtained under rectangle grids, which in turn yields the error estimates and superconvergence
Semi-discrete Finite Element Approximations for Linear Parabolic Integro-differential Equations with Integrable Kernels
, 1996
"... In this paper we consider finite element methods for general parabolic integro-differential equations with integrable kernels. A new approach is taken, which allows us to derive optimal L p (2 p 1) error estimates and superconvergence. The main advantage of our method is that the semidiscrete f ..."
Abstract
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Cited by 2 (1 self)
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In this paper we consider finite element methods for general parabolic integro-differential equations with integrable kernels. A new approach is taken, which allows us to derive optimal L p (2 p 1) error estimates and superconvergence. The main advantage of our method is that the semidiscrete
Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data
- Numer. Math
, 1998
"... Abstract. In this paper, we investigate the superconvergence property of the numerical solution of a quadratic convex optimal control problem by using rectangular mixed finite element methods. The state and co-state variables are approximated by the lowest order Raviart-Thomas mixed finite element s ..."
Abstract
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Cited by 10 (5 self)
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Abstract. In this paper, we investigate the superconvergence property of the numerical solution of a quadratic convex optimal control problem by using rectangular mixed finite element methods. The state and co-state variables are approximated by the lowest order Raviart-Thomas mixed finite element
Finite Volume Element Approximations Of Integro-Differential Parabolic Problems
"... this paper we study finite volume element approximations for two-dimensional parabolic integro-differential equations, arising in modeling of nonlocal reactive flows in porous media. These types of flows are also called NonFickian flows and exhibit mixing length growth. For simplicity we only consid ..."
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this paper we study finite volume element approximations for two-dimensional parabolic integro-differential equations, arising in modeling of nonlocal reactive flows in porous media. These types of flows are also called NonFickian flows and exhibit mixing length growth. For simplicity we only
ERROR ESTIMATES FOR A SEMIDISCRETE FINITE ELEMENT METHOD FOR FRACTIONAL ORDER PARABOLIC EQUATIONS
"... Abstract. We consider the initial boundary value problem for the homogeneous time-fractional diffusion equation ∂α t u − ∆u = 0 (0 < α < 1) with the initial condition u(x, 0) = v(x) and a homogeneous Dirichlet boundary condition in a bounded polygonal domain Ω. We shall study two semidiscrete ..."
Abstract
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Cited by 18 (6 self)
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semidiscrete approximation schemes, i.e., the Galerkin FEM and lumped mass Galerkin FEM, by using piecewise linear functions. We establish optimal with respect to the regularity error estimates, including the cases of smooth and nonsmooth initial data, i.e., v ∈ H2 (Ω) ∩ H1 0 (Ω) and v ∈ L2(Ω), respectively
ON THE SUPERCONVERGENCE OF BILINEAR FINITE ELEMENT FOR SECOND ORDER ELLIPTIC PROBLEMS WITH GENERAL BOUNDARY CONDITIONS
"... Abstract. In this paper, the superconvergence of bilinear finite element for general second order elliptic problems with general boundary conditions is stud-ied to avoid a sub-optimal superconvergence, we construct an auxiliary equation to eliminate the effect of boundary terms. As a result, the O(h ..."
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Abstract. In this paper, the superconvergence of bilinear finite element for general second order elliptic problems with general boundary conditions is stud-ied to avoid a sub-optimal superconvergence, we construct an auxiliary equation to eliminate the effect of boundary terms. As a result, the O
Superconvergence and Error Estimation of Finite Element Solutions
"... When a fire reaches the point of flashover the hot gases inside the burning room ignite resulting in furnace-like conditions. Thereafter, the building frame experiences tem-peratures sufficient to compromise its structural integrity. Physical and mathematical models help to predict when this will ha ..."
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and Weiser [9], has been derived for finite element solutions to small-deformation, thermoelastic and thermoplastic frame problems. The estimator has been shown to be consistent for all finite element solutions and asymptotically ex-act when the solution involves appropriate higher degree polynomials
Results 1 - 10
of
651
