Capitulo de libro
A NUMERICAL DESCENT METHOD FOR AN INVERSE PROBLEM OF A SCALAR CONSERVATION LAW MODELLING SEDIMENTATION
NUMERICAL MATHEMATICS AND ADVANCED APLICATIONS
Registro en:
1050728
978-3-540-34287-8
978-3-540-34288-5
Autor
Burger, Raimund Klaus
Coronel Perez, Anibal
Sepulveda Cortes, Mauricio Alejandro
Institución
Resumen
This contribution presents a numerical descent method for the identification of parameters in the flux function of a scalar nonlinear conservation law when the solution at a fixed time is known. This problem occurs in a model of batch sedimentation of an ideal suspension. We formulate the identification problem as a minimization problem of a suitable cost function and derive its formal gradient by means of a first-order perturbation of the solution of the direct problem, which yields a linear transport equation with source term and discontinuous coefficients. for the numerical approach, we assume that the direct problem is discretized by the Engquist-Osher scheme and obtain a discrete first order perturbation associated to this scheme. The discrete gradient is used in combination with the conjugate gradient and coordinate descent methods to find numerically the flux parameters FONDECYT http://download.springer.com/static/pdf/258/bfm%253A978-3-540-34288-5%252F1.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Fbook%2Fbfm%3A978-3-540-34288-5%2F1&token2=exp=1464195341~acl=%2Fstatic%2Fpdf%2F258%2Fbfm%25253A978-3-540-34288-5%25252F1.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Fbook%252Fbfm%253A978-3-540-34288-5%252F1*~hmac=0071ce335b94988692a796dca217c0170ccfb42837637cbcd1e16e1d78dcb037 1232 FONDECYT