Is there an R function that can solve a partial differential equation using the finite element method (Strang and Fix, 1973)?
Based on the wikipedia list of finite element software packages, the method has been implemented in Fortran, C. Both Fortran and C can be called by an R function, but I do not see any such functions in CRAN.
Strang and Fix. An Analysis of The Finite Element Method. Prentice Hall, 1973.
There is a book which tackles this topic exclusively:
Finite Element Computations in Mechanics with R: A Problem-Centered Programming Approach 1st Edition Khameel Bayo Mustapha
CRC Press Published April 20, 2018
More information can be found here: https://www.crcpress.com/Finite-Element-Computations-in-Mechanics-with-R-A-Problem-Centered-Programming/Mustapha/p/book/9781138501621