
doi: 10.1137/0902003
We show how the inverse problem can be stabilized by reconstructing a slightly “blurred” image of the unknowns. The numerical problem is solved with an absolute minimum of computation and the proposed method is favorably compared against others commonly in use.
Inverse problems for PDEs, Heat equation, mollification method, Ill-posed problems for PDEs, ill-posed problem, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, heat transfer conduction, least-squares, integral equation method
Inverse problems for PDEs, Heat equation, mollification method, Ill-posed problems for PDEs, ill-posed problem, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, heat transfer conduction, least-squares, integral equation method
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