caa a22 4500 378921436 CHVBK 20180305123606.0 cr unu---uuuuu 161128e20041201xx s 000 0 eng 10.1515/1569394042545094 doi (NATIONALLICENCE)gruyter-10.1515/1569394042545094 Validating the diffusion model for long-term coastal profile evolution [Elektronische Daten] [A. V. Avdeev, E. V. Goriounov, M. M. Lavrentiev, R. Spigler] An algorithm for the simultaneous determination of two coefficients in an inverse problem for equations of the parabolic type is studied. The model under investigation has been proposed by H. de Vriend and M. Capobianco to describe the long-time coastal profile evolution. The iterative inversion procedure is based on the minimization of a suitable cost functional. Results of numerical tests are shown to illustrate the performance of the algorithm. The real measured data of the coastal profile evolution have been numerically processed to validate the aforementioned diffusion type model. The paper is targetly oriented to attract attention of professionals, who study Inverse Problems, to such new area of applications as Coastal Engineering. Copyright 2004, Walter de Gruyter Avdeev A. V. Institute for Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia. E-mail: avdeev@omzg.sscc.ru aut Goriounov E. V. Institute for Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia. E-mail: avdeev@omzg.sscc.ru aut Lavrentiev M. M. Sobolev Institute of Mathematics, Novosibirsk, Russia. aut Spigler R. Dipartimento di Matematica, Università di "Roma Tre", Rome, Italy. aut Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/6(2004-12-01), 563-579 0928-0219 12:6<563 2004 12 jiip https://doi.org/10.1515/1569394042545094 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569394042545094 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Avdeev A. V. Institute for Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia. E-mail: avdeev@omzg.sscc.ru aut NATIONALLICENCE 700 1- Goriounov E. V. Institute for Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia. E-mail: avdeev@omzg.sscc.ru aut NATIONALLICENCE 700 1- Lavrentiev M. M. Sobolev Institute of Mathematics, Novosibirsk, Russia aut NATIONALLICENCE 700 1- Spigler R. Dipartimento di Matematica, Università di "Roma Tre", Rome, Italy aut NATIONALLICENCE 773 0- Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/6(2004-12-01), 563-579 0928-0219 12:6<563 2004 12 jiip CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter