关键词: GPGPU,混合精度算法，有限元，并行计算

Abstract: For a long time, single precision has been giving away to double precision in scientific computing. However, on computer architectures, mixed-precision computing, can take full advantages of excellent computing compatibilitics of vector components, GPGPU, offering merits such as reducing communication bandwidth requirements, improving data movement efficiency etc. A mixed-precision explicit finitcclement algorithm was proposed and implemented on nVidia GPU for strongly nonlinear multi scale material simulation. I}he developed mixed-precision finitcelement method gives the same results as that of the fully double-precision calculation, while keeping a 90 0 o portion of finite element calcula- lions to be done by single precision float calculation. As a result, on the device that does not support native double preci- sion float format, the mixed-precision algorithm makes it possible to fulfill double precision finite element simulation, while on the device that supports the native double precision, the mixed-precision algorithm is 1. 6一1. 7 times faster than the full double precision calculation.

Key words: GPGPU, Mixed precision algorithm, Finite element method, Parallel computing