Numerical Computation of Second Rank Polarization Tensor with Speeding Up Techniques
DOI:
https://doi.org/10.22452/mjs.vol45sp2.8Keywords:
polarization tensor, numerical integration, adaptive mesh refinement, computational efficiencyAbstract
This research focused on the techniques used to accelerate the numerical computation of the second rank polarization tensor (PT), which plays a crucial part in many real-life applications such as mathematics and engineering. In order to achieve an accurate numerical solution of PT with reduced computation time, this study employed a different yet simple technique for handling the higher singularity in the mathematical computation of PT itself. By leveraging numerical integration techniques together with the adaptive mesh refinement technique, it shows that the computation of the numerical solution can be achieved within a shorter time without sacrificing accuracy. From the results, a lower computational time is achieved with a higher precision numerical solution, making these techniques practical in complex systems, especially in engineering applications. This research not only improves computational speed but also enhances efficiency and accuracy by implementing adaptive geometrical modifications with the aids of meshing tool which is Netgen Mesh Generator.
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