Abstract
This work extends the concept of convex source supportto the framework of inverse source problems for the Poisson equation in aninsulated upper half-plane. The convex source support is, in essence,the smallest (nonempty) convex set that supports a source that producesthe measured (nontrivial) data on the horizontal axis. In particular, it belongsto the convex hull of the support of any source that is compatible with the measurements.We modify a previously introduced method for reconstructing theconvex source support in bounded domains to our unbounded setting.The performance of the resulting numerical algorithm is analyzed both for theinverse source problem and for electrical impedance tomography with singlepair of boundary current and potential as the measurement data.
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