Path following techniques for geometrically nonlinear structures based on Multi-point methods

Iterative Methods for the Solution of Equations.

David M. Young, J. F. Traub · American Mathematical Monthly · 1967 · 2.2K citations

Natural Sciences, Mathematics, Algorithms +15

A variant of Newton's method with accelerated third-order convergence

Sunethra Weerakoon, T.G.I. Fernando · Applied Mathematics Letters · 2000 · 883 citations

Natural Sciences, Mathematics, Differential Equations +9

A study of three‐node triangular plate bending elements

Jean‐Louis Batoz, Klaus‐Jürgen Bathe, Ho Lee-Wing · International Journal for Numerical Methods in Engineering · 1980 · 843 citations

Engineering, Mechanical Engineering, Finite Element Analysis +16

The Application of Newton’s Method to the Problem of Elastic Stability

E. Riks · Journal of Applied Mechanics · 1972 · 763 citations

Natural Sciences, Mechanical Engineering, Applied Mechanics +13

An arc‐length method including line searches and accelerations

M. A. Crisfield · International Journal for Numerical Methods in Engineering · 1983 · 499 citations

Engineering, Civil Engineering, Computational Mechanics +16