Talk:Trefftz method

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
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)