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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.
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One of the most frequently asked questions by beginners to engineering simulation is how to learn finite element analysis, and how to use FEA software. This process is not easy, particularly if you want to learn by yourself, not in university. However, with a little motivation and direction, it is achievable.
Engineers use FEM when they need to develop an adoptable design that's practical but not necessarily perfect for a particular application. FEA: The mathematical equations behind FEM are applied to create a simulation, or what's known as a finite element analysis (FEA).
The finite element method gives an approximate solution to the mathematical model equations. The difference between the solution to the numerical equations and the exact solution to the mathematical model equations is the error: e = u - uh.
Interpolation is a method of fitting the data points to represent the value of a function.
There is a new package that uses Finite Element Method (FEM). I think that's one of the first steps for using FEM in R.
fdaPDE
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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
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