Some sharp error estimates

Sharp error estimates for optimality are established for a class of distributed parameter control problems that include elliptic, parabolic, hyperbolic systems with impulsive control and boundary control. The estimates are obtained by constructing manageable dual problems via the extremum principle.

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Sharp error estimates for a fractional-step method applied to the 3D Navier–Stokes equations

Comptes Rendus Mathematique ◽

10.1016/j.crma.2007.07.007 ◽

2007 ◽

Vol 345 (6) ◽

pp. 359-362 ◽

Cited By ~ 2

Author(s):

Francisco Guillén-González ◽

María Victoria Redondo-Neble

Keyword(s):

Error Estimates ◽

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Navier Stokes Equations ◽

Sharp Error

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Quadrature formulae for the positive real axis in the setting of Mellin analysis: sharp error estimates in terms of the Mellin distance

CALCOLO ◽

10.1007/s10092-018-0268-1 ◽

2018 ◽

Vol 55 (3) ◽

Cited By ~ 2

Author(s):

Carlo Bardaro ◽

Paul L. Butzer ◽

Ilaria Mantellini ◽

Gerhard Schmeisser

Keyword(s):

Error Estimates ◽

Real Axis ◽

Positive Real Axis ◽

Positive Real ◽

Quadrature Formulae ◽

Sharp Error

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SHARP ERROR ESTIMATES OF SOME TWO-LEVEL METHODS OF SOLVING THE THREE-DIMENSIONAL HEAT EQUATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1987v056n02abeh003050 ◽

1987 ◽

Vol 56 (2) ◽

pp. 529-544 ◽

Cited By ~ 1

Author(s):

A A Zlotnik ◽

I D Turetaev

Keyword(s):

Heat Equation ◽

Error Estimates ◽

Three Dimensional ◽

Sharp Error

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Pitt's inequality and the fractional Laplacian: Sharp error estimates

Forum Mathematicum ◽

10.1515/form.2011.056 ◽

2012 ◽

Vol 24 (1) ◽

Cited By ~ 13

Author(s):

William Beckner

Keyword(s):

Error Estimates ◽

Fractional Laplacian ◽

Pitt’S Inequality ◽

Sharp Error

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SHARP ERROR ANALYSIS FOR CURVATURE DEPENDENT EVOLVING FRONTS

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202593000369 ◽

1993 ◽

Vol 03 (06) ◽

pp. 711-723 ◽

Cited By ~ 13

Author(s):

RICARDO H. NOCHETTO ◽

MAURIZIO PAOLINI ◽

CLAUDIO VERDI

Keyword(s):

Error Analysis ◽

Small Parameter ◽

Error Estimates ◽

Distance Function ◽

Mean Curvature ◽

Obstacle Problem ◽

Singularly Perturbed ◽

Forcing Term ◽

Formal Asymptotics ◽

Sharp Error

The evolution of a curvature dependent interface is approximated via a singularly perturbed parabolic double obstacle problem with small parameter ε>0. The velocity normal to the front is proportional to its mean curvature plus a forcing term. Optimal interface error estimates of order [Formula: see text] are derived for smooth evolutions, that is before singularities develop. Key ingredients are the construction of sub(super)-solutions containing several shape corrections dictated by formal asymptotics, and the use of a modified distance function.

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