Teresa Regińska and Kazimierz Regiński 2006 Inverse Problems 22 975 doi:10.1088/0266-5611/22/3/015
Approximate solution of a Cauchy problem for the Helmholtz equation
Teresa Regińska1 and Kazimierz Regiński2
Show affiliationsA problem of reconstruction of the radiation field in a domain 
from experimental data given on a part of boundary is considered. For the model problem described by a Cauchy problem for the Helmholtz equation, an approximate method based on regularization in the frequency space is analysed. Convergence and stability are proved under a suitable choice of regularization parameter. Numerical implementation of the method is discussed.
- PACS
-
02.30.Jr Partial differential equations
- MSC
-
35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation (See also 31Axx, 31Bxx)
- Subjects
- Dates
-
Issue 3 (June 2006)
Received 10 October 2005, in final form 19 March 2006
Published 17 May 2006
-
Approximate solution of a Cauchy problem for the Helmholtz equation
Teresa Regińska and Kazimierz Regiński 2006 Inverse Problems 22 975
-
First-principles study of 6H-AlN under various pressure conditions
Kazuaki Kobayashi and Shojiro Komatsu 2010 J. Phys.: Conf. Ser. 215 012111
-
Summary of the BIPM.RI(I)-K1 comparison for air kerma in 60Co gamma radiation
P J Allisy-Roberts et al 2007 Metrologia 44 06006
-
Final report of EUROMET.T-S1 (EUROMET project 658): The examination of base parameters for ITS-90 scale realisation in radiation thermometry
H C McEvoy 2008 Metrologia 45 03002
-
Update of the BIPM.RI(II)-K1.Rn-222 comparison of activity measurements for the radionuclide 222Rn to include the PTB
G Ratel et al 2006 Metrologia 43 06006
-
Final report on the CIPM key comparison CCPR-K1.b: Spectral irradiance 200 nm to 350 nm
Peter Sperfeld 2008 Metrologia 45 02002
-
Comparison of the standards for air kerma of the ITN (Portugal) and the BIPM for 60Co γ-rays
P J Allisy-Roberts et al 2009 Metrologia 46 06007
-
Final report on key comparison CCQM-K42: Determination of chromium, copper, iron, manganese and zinc in aluminium alloy
Siegfried Noack and Ralf Matschat 2008 Metrologia 45 08012
-
Activity measurements of a suite of radionuclides (40K, 137Cs, 210Pb, 210Po, 228Ra, 232Th, 234U, 235U, 238U, 238Pu, 239Pu, 239+240Pu, 241Am) in vegetal reference material (seaweed)
I Outola et al 2008 Metrologia 45 06014
-
Final Report on CCT-K7: Key comparison of water triple point cells
M Stock et al 2006 Metrologia 43 03001
Users also read
What's this?Related review articles
What's this?- Inverse problems in ion channel modelling
- Inverse problems in systems biology
- Optical tomography: forward and inverse problems