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Title: Efficient algorithm for solving inverse source problems of a nonlinear diffusion equation in microwave heating

Journal Article · · Journal of Computational Physics
 [1];  [2]
  1. State Univ. of New York, Stony Brook, NY (United States)
  2. Numerical Computation Corp., Stony Brook, NY (United States)

Determination of the equivalent internal heat source from surface temperature measurements in microwave processing of materials is formulated as an inverse source problem of a nonlinear diffusion equation. The versatile generalized pulse-spectrum technique (GPST) inversion algorithm with the incorporation of multi-level grid method and hierarchical parallelism is developed for solving this type of inverse problems. Development of a simple 2D code has been completed. Numerical simulations are carried out to test the feasibility and capability of this improved GPST without the real measurement data. It is found that this new inversion algorithm not only does produce very good results but also is much more efficient and stable than its standard version.

OSTI ID:
535421
Journal Information:
Journal of Computational Physics, Vol. 132, Issue 2; Other Information: PBD: Apr 1997
Country of Publication:
United States
Language:
English