a priori estimates
A Priori Estimates of Solution of Parametrized Singularly Perturbed Problem
... Abstract In this paper, we consider a parameterized singularly perturbed second order quasilinear boundary value problem.. Asymptotic estimates for the solution and its first and second [r] ...
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Error Estimations, Error Computations, and Convergence Rates in FEM for BVPs
... a priori estimates only hold in asymptotic range and their derivation in the currently published literature are only valid for self adjoint operators in GM/WF when functional B ( ) ⋅ ⋅ , is symmetric, thus ...
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Fredholm alternative for the second-order singular Dirichlet problem
... holds. The paper is organized as follows. At the end of this section, we state our main results, the proofs of which one can find in Section . In Section , we recall some known results in a suitable for us form. Section ...
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Existence of global solution for a differential system with initial data in Lp
... Leray’s approximating system for our problem. In Section 4, we state and briefly prove some lemmas similar to those for Navier-Stokes equations. Finally, in Section 5, by es- tablishing a priori estimates ...
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On the Impact of Mutual Coupling Effects on the Psl Performances of Ads Thinned Arrays
... -priori estimates exist nor simple extensions of the ADS array theory have been deduced in the presence of non-ideal radiators when mutual coupling (MC ) effects between the array elements take ...
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The obstacle problem for conformal metrics on compact Riemannian manifolds
... Abstract We prove a priori estimates up to their second order derivatives for solutions to the obstacle problem of curvature equations on Riemannian manifolds Mn , g arising from conform[r] ...
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A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis
... a priori estimates for the finite ele- ment ...posteriori estimates. Al- though a posteriori estimates have been intensively studied for the Stokes problems with Dirichlet boundary conditions ...
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On Optimal Control of Quasi-Linear Elliptic Equation with Variable px -Laplacian
... we have no a priori estimates for the weak solutions in the sense of Minty to the boundary value problem 2–3 [9], [8]; • the asymptotic behaviour of a minimizing sequence to the cost fun[r] ...
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Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient
... We study the existence of positive solutions for a class of degenerate nonlinear elliptic equations with gradient dependence. For this purpose, we combine a blowup argument, the strong maximum principle, and ...
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Dynamics and invariant manifolds for a nonlocal stochastic Swift Hohenberg equation
... a priori estimates of the solution for the nonlocal stochastic Swift-Hohenberg equation with pos- itive kernel, and then a global random attractor for the corresponding random dynamical system is ...
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A mixed problem with only integral boundary conditions for a hyperbolic equation
... a priori estimates to prove the uniqueness and continuous dependence; these estimates are established by taking the scalar product in L 2 -space of the considered ...
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Cauchy problem of the generalized Zakharov type system in \(\mathbf{R}^{2}\)
... By using Guo and Shen’s method [], one can prove the existence of a local solution for the periodic initial problem ()-(). Similarly to Zhou and Guo’s proof [], letting D → ∞ , the existence of a local solution for ...
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DISSIPATIVE NUMERICAL METHOD FOR AN OVERHEAD CRANE MODEL WITH A FEEDBACK CONTROL FORCE IN VELOCITY
... The rest of the paper is organized as follows. In Section 2, the well-posedness of the system (1)-(4) is established. Section 3 is devoted to the numerical resolution of (1)-(4) by the method of dissipative finite ...
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On coupled systems of Hammerstein integral equations
... a priori estimates obtained by Jensen’s integral inequality for concave functions, the au- thors use the fixed point index theory to establish the main ...
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Variational discretization and mixed methods for semilinear parabolic optimal control problems with integral constraint
... 2 priori error estimates. An L 2 and L ∽ priori error estimates for linear parabolic optimal control problems have been obtained when the space discretization of the state variable is done ...
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Analysis of a quasicontinuum method in one dimension
... Abstract. The quasicontinuum method is a coarse-graining technique for reducing the complexity of atomistic simulations in a static and quasistatic setting. In this paper we aim to give a detailed a priori and a ...
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Finite Element Analysis of the Ramberg Osgood Bar
... In this work, we present a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood bar. The existence and uniqueness of the ...
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A posteriori error control for a quasi continuum approximation of a periodic chain
... Abstract. We consider a 1D periodic atomistic model, for which we formulate and analyze an adaptive variant of a quasicontinuum method. We establish a posteriori error estimates for the energy norm and for the ...
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0 event: Point and Interval Estimates
... We consider the most interesting situation when no results of earlier experiments are availabile, i.e. when no data for reconstructing the a priori distribution is available (the empirical Bayesian approach). In ...
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A priori error estimates for numerical methods for scalar conservation laws. Part II: flux-splitting Monotone schemes on irregular Cartesian grids
... 4. Concluding remarks. In [4], we proposed a general theory of a priori error estimates for scalar conservation laws, based on the original Kuznetsov approximation theory [12]. In the present paper, this ...
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