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ELLIPTIC RECONSTRUCTION AND A POSTERIORI ERROR ESTIMATES FOR PARABOLIC PROBLEMS
A posteriori error estimators fi nite elements semidiscrete parabolic problems
2015/12/11
It is known that the energy technique for a posteriori error analysis
of finite element discretizations of parabolic problems yields suboptimal rates
in the norm L1(0; T;L2
(Ω)): In thi...
Reconstruction of a piecewise smooth absorption coefficient by an acousto-optic process
acousto-optic inverse problem spherical Radon transform Helmholtz decomposition piecewise smooth functions reconstruction Landweber iteration stability
2012/6/27
The aim of this paper is to tackle the nonlinear optical reconstruction problem. Given a set of acousto-optic measurements, we develop a mathematical framework for the reconstruction problem in the ca...
Reconstruction of a potential from the impedance boundary map
Reconstruction potential the impedance boundary map Analysis of PDEs
2012/4/17
We give formulas and equations for finding generalized scattering data for the Schr\"odinger equation in open bounded domain at fixed energy from the impedance boundary map (or Robin-to-Robin map). Co...