Talk:Trefftz method

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Improving the specificity of the title

Trefftz methods are based on the principle of constructing the solution of boundary value problems (BVP) using approximation functions that satisfy exactly the ___domain equations, but not the boundary conditions. This idea stands at the core of a wide range of mathematical techniques like the direct Trefftz methods, indirect Trefftz methods, method of fundamental solutions, boundary element methods, wave based methods, hybrid-Trefftz finite element methods etc. Therefore, stating that the Trefftz method "falls within the class of finite element methods" is a rather extreme limitation of the scope of the method.

It is clear that the article was conceived to only approach the hybrid-Trefftz finite elements, so its title should be changed to reflect that. I suggest changing the title from "Trefftz method" to "Hybrid-Trefftz finite element method".

Usage in Commercial Applications

Latest comment: 1 year ago1 comment1 person in discussion

The Trefftz Finite Element Method is the basis of a relatively popular electromagnetic simulation tool called "Simbeor". It would be interesting to add this detail to the page.

https://www.simberian.com/SimbeorTechnology.php#TFEM 69.126.230.112 (talk) 01:41, 25 October 2023 (UTC)Reply