"极简抽象派艺术家" can be translated into English as "Minimalist Abstract Artist" or "Minimal Abstract Artist".
"Minimalist" and "Minimal" both convey the essence of minimalism, with "Minimalist" being more commonly used in art contexts to describe the style or the artist following it.
"Abstract" refers to the abstract nature of the art.
"Artist" is the straightforward translation for "艺术家".
Both translations are acceptable, but "Minimalist Abstract Artist" might be slightly more precise in conveying the artist's adherence to the minimalist style within the abstract art genre.