Search Results - Babuska, Ivo

Ivo Babuška

Ivo M. Babuška (22 March 1926 – 12 April 2023) was a Czech-American mathematician, noted for his studies of the finite element method and the proof of the Babuška–Lax–Milgram theorem in partial differential equations. One of the celebrated result in the finite elements is the so-called Ladyzenskaja–Babuška–Brezzi (LBB) condition (also referred to in some literature as Banach–Nečas–Babuška (BNB)), which provides sufficient conditions for a stable mixed formulation. The LBB condition has guided mathematicians and engineers to develop state-of-the-art formulations for many technologically important problems like Darcy flow, Stokes flow, incompressible Navier–Stokes, and nearly incompressible elasticity.

Babuška is also well known for his work on adaptive methods and the ''p-''- and ''hp-''-versions of the finite element method. He also developed the mathematical framework for the partition of unity methods.

Babuška was elected as a member of the National Academy of Engineering in 2005 for contributions to the theory and implementation of finite element methods for computer-based engineering analysis and design. Provided by Wikipedia