Efficient Algorithm for Solving Inverse Source Problems of a Nonlinear Diffusion Equation in Microwave Heating
✍ Scribed by X. Chen; Y.M. Chen
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 841 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
oven). The advantage in computation can be illustrated by a simple comparison of the computational efforts of these Determination of the equivalent internal heat source from surface temperature measurements in microwave processing of materials two approaches. Based on an implicit 3D finite difference is formulated as an inverse source problem of a nonlinear diffusion scheme and Gaussian elimination solver for matrices, a equation. The versatile generalized pulse-spectrum technique rough estimate of the asymptotic number of floating point (GPST) inversion algorithm with the incorporation of multi-level arithmetic operations (FLO) count for the initial-boundary grid method and hierarchical parallelism is developed for solving this type of inverse problems. Development of a simple 2D code value problem of seven PDEs is FLO di ϭ O(mTYB 2 /2), has been completed. Numerical simulations are carried out to test
where m ϭ 7 is the number of PDEs, T ϭ O(10 2 ) is the the feasibility and capability of this improved GPST without the real number of time steps needed in simulation, Y ϭ O( y 3 ) is measurement data. It is found that this new inversion algorithm the total number of grid points for the microwave oven not only does produce very good results but also is much more containing the sample, y is the number of grid points in efficient and stable than its standard version. ᮊ 1997 Academic Press one direction, B ϭ O(mY 2/3 ) is the bandwidth of the matrix. Hence FLO di ϭ O(1.7 ϫ 10 4 y 7 ). Similarly, based on 374