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A C finite element method for an inverse problem |
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| Authors: | Tao Lin |
| Institution: | Department of Mathematics Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USA |
| Abstract: | A C0 finite element method is presented for an inverse problem in which the coefficient in the differential operator is to be determined from the measurement of the solution of a boundary value problem. The unknown in the inverse problem is approximated by a minimizer of a cost function that includes both the output error and equation error. Error estimates in a weighted H−1 norm and L2 are given. Numerical examples are presented to show features of the method. |
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