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Convergence Analysis of the Adaptive Finite Element Method with the Red-Green Refinement
Adaptive Finite Element Method Convergence Analysis Red-Green Refinement
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2015/5/6
Abstract. In this paper, we analyze the convergence of the adaptive conforming P 1 element method with the red-green refinement. Since the mesh after refining is not nested into the one before, the Ga...
On the strong lacunary convergence and strong Cesaro summability of sequences of real-valued functions
lacunary sequence strong lacunary convergence strongly Ces´ aro summable pointwise statistical convergence
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2009/2/24
In this paper we introduce the concepts of the strong lacunary
convergence and strong Ces´aro summabilty of sequences of real-valued
functions. We also give the relations between these converg...
Convergence of Unbounded Multivalued Supermartingales in the Mosco and Slice Topologies
Unbounded Multivalued Supermartingales Mosco Slice Topologies
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2009/1/22
Our starting point is the Mosco-convergence result due to Hess ([18]) for integrable multivalued supermartingales whose values may be unbounded, but are majorized by a $w$-ball-compact-valued function...
New Convergence Results for Nash Equilibria
Nash Equilibria Convergence Results
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2009/1/22
Painleve-Kuratowski convergence results are obtained, under sufficient conditions of minimal character, for approximate Nash equilibria of two sequences of real valued functions. Moreover, an applicat...
Accelerating the Convergence to Equilibrium of Ocean-Climate Models
Ocean-Climate Models Accelerating Convergence
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2009/1/20
Solutions corresponding to climatic equilibrium are usually obtained from atmospheric general circulation models by extended numerical integration with respect to time. Because the ocean contains a mu...
Memory Effects and $\boldsymbol{\Gamma}$-Convergence：A Time Dependent Case
Time Dependent Case Memory Effects $\boldsymbol{\Gamma}$-Convergence
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2009/1/19
We study the asymptotic behavior of the energy functional associated to the parametric equation $\partial_t u_\varepsilon(t, x)$ $+ a_\varepsilon(t, x) g (u_\varepsilon(t, x)) =f(t, x)$, $u_\varepsil...
Epi-Distance Convergence of Parametrised Sums of Convex Functions in Non-Reflexive Spaces
Epi-Distance Convergence Parametrised Sums Convex Functions Non-Reflexive Spaces
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2009/1/13
A weakened set of conditions is established for the epi-distance convergence of a sum $\{f_v+g_v\}_{v\in W}$ of parametrised closed convex functions $\{f_v\}_{v\in W}$ and $\{g_v\}_{v\in W}$ for $v\to...
An Ice Breeze Mechanism for an Ice Divergence-Convergence Criterion in the Marginal Ice Zone
marginal ice zone Ice Breeze Mechanism Ice Divergence-Convergence Criterion
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2009/1/8
A coupled air-ice-ocean theoretical model for the marginal ice zone (MIZ) is developed and used to show that an off-ice and divergent wind field not only produces a dilation of the MIZ (as is generall...
On the strong lacunary convergence and strong Ces´aro summability of sequences of real-valued
lacunary sequence strong lacunary convergence strongly Ces´ aro summable pointwise statistical convergence
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2009/1/7
In this paper we introduce the concepts of the strong lacunary
convergence and strong Ces´aro summabilty of sequences of real-valued
functions. We also give the relations between these converg...
Distinct wind convergence patterns in the Mexico City basin due to the interaction of the gap winds with the synoptic flow
Distinct wind convergence Mexico City gap winds synoptic flow
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2009/1/6
Mexico City lies in a high altitude basin where air quality and pollutant fate is strongly influenced by local winds. The combination of high terrain with weak synoptic forcing leads to weak and varia...
Eddies at the Subtropical Convergence South of Africa
bottom topography meridional current shear Subtropical Convergence
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2009/1/5
A descriptive analysis of the occurrence and kinematics of mesoscale eddies at the subtropical convergence south of Africa is presented. Data used in this study include thermal infrared imagery from s...
Numerical results of convergence rates in regularization for ill-posed mixed variational inequalities
Monotone operators hemi-continuous strictly convex Banach space
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2010/9/10
In this note some numerical experiments to illustration for convergence rates of regularized solution for ill-posed inverse-strongly monotone mixed variational inequalities are presented.
Weak convergence theorems of three-step Noor iterative scheme for I-quasi-nonexpansive mappings in Banach spaces
The three-step Noor iterative scheme Opial’s condition
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2010/9/14
We establish the weak convergence of three-step Noor iterative scheme for an I-nonexpansive mappping in a Banach space which satisfies Opial’s condition. The presented results in this paper, is connec...
Strong convergence theorems for nonself I-asymptotically quasi-nonexpansive mappings
Common fixed point nonself I-asymptotically quasi-nonexpansive
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2010/9/10
Let X be a real uniformly convex Banach space, C be a nonempty closed convex subset of X. Let I : C → X be a nonself asymptotically nonexpansive mapping and T : C → X be a nonself I-asymptotically qua...
On improvement of uniform convergence of Lagrange interpolation polynomials
Lagrange interpolation polynomial uniform convergence
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2010/9/14
Due to the Lagrange interpolation polynomials do not converge uniformly to arbitrary continuous functions, in this paper, a new interpolation polynomial is constructed by using the weighted average me...