ncku-talk2011-01-18

NCTS(South)/ NCKU Math Colloquium

DATE 2011-01-18　16:10-17:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Prof. Rainer Kress（University Goettingen）

TITLE A range test method for an inverse source problem

ABSTRACT We present two methods for solving an inverse source problem for time-harmonic acoustic waves. Based on the reciprocity gap principle a nonlinear equation is presented for the locations and intensities of the point sources that can be solved via Newton iterations. To provide an initial guess for this iteration we suggest a range test algorithm for approximating the source locations. We give a mathematical foundation for the range test and exhibit its feasibility in connection with the iteration method by some numerical examples. This is joint work with C. Alves (Lisbon) and P. Serranho (Coimbra).

NCTS(South)/ NCKU Math Colloquium

DATE	2011-01-18　16:10-17:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Prof. Rainer Kress（University Goettingen）

TITLE	A range test method for an inverse source problem

ABSTRACT	We present two methods for solving an inverse source problem for time-harmonic acoustic waves. Based on the reciprocity gap principle a nonlinear equation is presented for the locations and intensities of the point sources that can be solved via Newton iterations. To provide an initial guess for this iteration we suggest a range test algorithm for approximating the source locations. We give a mathematical foundation for the range test and exhibit its feasibility in connection with the iteration method by some numerical examples. This is joint work with C. Alves (Lisbon) and P. Serranho (Coimbra).