Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

ID 766686
Date 7/13/2023
Public

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Partial Differential Equations Support

The Intel® oneAPI Math Kernel Library (oneMKL) provides tools for solving Partial Differential Equations (PDE). These tools are Trigonometric Transform interface routines (seeTrigonometric Transform Routines) and Poisson Solver (see Fast Poisson Solver Routines).

Poisson Solver is designed for fast solving of simple Helmholtz, Poisson, and Laplace problems. The solver is based on the Trigonometric Transform interface, which is, in turn, based on the Intel® oneAPI Math Kernel Library (oneMKL) Fast Fourier Transform (FFT) interface (refer toFourier Transform Functions), optimized for Intel® processors.

Direct use of the Trigonometric Transform routines may be helpful to those who have already implemented their own solvers similar to the Intel® oneAPI Math Kernel Library (oneMKL) Poisson Solver. As it may be hard enough to modify the original code so as to make it work with Poisson Solver, you are encouraged to use fast (staggered) sine/cosine transforms implemented in the Trigonometric Transform interface to improve performance of your solver.

Both Trigonometric Transform and Poisson Solver routines can be called from C and Fortran, although the interfaces description uses C convention. Fortran users can find routine calls specifics in Calling PDE Support Routines from Fortran.

NOTE:

Intel® oneAPI Math Kernel Library (oneMKL) Trigonometric Transform and Poisson Solver routines support Fortran versions starting with Fortran 90.

Product and Performance Information

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.

Notice revision #20201201