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

2012 ◽  
Vol 24 (1) ◽  
Author(s):  
William Beckner
Keyword(s):  
Error Estimates ◽  
Fractional Laplacian ◽  
Pitt’S Inequality ◽  
Sharp Error

scholarly journals A Priori Error Estimates for the Optimal Control of the Integral Fractional Laplacian

2019 ◽  
Vol 57 (4) ◽  
pp. 2775-2798 ◽  
Author(s):  
Marta D'Elia ◽  
Christian Glusa ◽  
Enrique Otárola
Keyword(s):  
Optimal Control ◽  
Error Estimates ◽  
Fractional Laplacian ◽  
A Priori ◽  
A Priori Error Estimates ◽  
Priori Error Estimates

scholarly journals Error estimate for optimality of distributed parameter control problems via duality

1995 ◽  
Vol 8 (2) ◽  
pp. 177-188
Author(s):  
W. L. Chan ◽  
S. P. Yung
Keyword(s):  
Error Estimate ◽  
Error Estimates ◽  
Boundary Control ◽  
Impulsive Control ◽  
Hyperbolic Systems ◽  
Distributed Parameter ◽  
Control Problems ◽  
Parameter Control ◽  
Distributed Parameter Control ◽  
Sharp Error

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.

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

2007 ◽  
Vol 345 (6) ◽  
pp. 359-362 ◽  
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

scholarly journals Sharp error estimates for a finite element-penalty approach to a class of regulator problems

1983 ◽  
Vol 40 (161) ◽  
pp. 151-151 ◽  
Author(s):  
Goong Chen ◽  
Wendell H. Mills ◽  
Shun Hua Sun ◽  
David A. Yost
Keyword(s):  
Finite Element ◽  
Error Estimates ◽  
Penalty Approach ◽  
Sharp Error

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

CALCOLO ◽  
2018 ◽  
Vol 55 (3) ◽  
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

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

1987 ◽  
Vol 56 (2) ◽  
pp. 529-544 ◽  
Author(s):  
A A Zlotnik ◽  
I D Turetaev
Keyword(s):  
Heat Equation ◽  
Error Estimates ◽  
Three Dimensional ◽  
Sharp Error

Some sharp error estimates

2018 ◽  
pp. 473-494
Author(s):  
Doina Cioranescu ◽  
Alain Damlamian ◽  
Georges Griso
Keyword(s):  
Error Estimates ◽  
Sharp Error

SHARP ERROR ANALYSIS FOR CURVATURE DEPENDENT EVOLVING FRONTS

1993 ◽  
Vol 03 (06) ◽  
pp. 711-723 ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document