What is it about?
This work is about the implementation of both finite elements and finite differences on a single mesh using rectangular prisms and distorted hexahedral elements to benefit from both numerical methods. The finite elements can represent the complex topographic features while the finite-difference approach is known to be easily implemented and it is faster and more memory efficient when numerically compared to the finite elements. This work aims to use the advantages of both numerical methods at the same time.
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Why is it important?
While using hexahedral elements, some parts of the mesh are distorted to add topographic features. This technique makes it possible to use finite elements for the distorted elements and finite differences for the rest of the non-distorted region to achieve both speed-up and memory efficiency during the modeling. The offered implementation technique also allows to alteration of existing hexahedral finite-elements code into a hybrid code easily with the shown example.
Perspectives
The published work is about 3D Magnetotelluric forward modeling, the author also published its inversion technique using the hybrid numerical technique and the benefits of this hybrid approach make a big difference in an inversion setup. The offered technique to implement both numerical methods on a single mesh is explained with a simple example so that it is also possible to use the same technique for other geophysical problems.
Deniz Varilsuha
Istanbul Teknik Universitesi
Read the Original
This page is a summary of: A novel hybrid finite element – Finite difference approach for 3D Magnetotelluric modeling, Computers & Geosciences, June 2024, Elsevier,
DOI: 10.1016/j.cageo.2024.105614.
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