Alternating Direction Method with Self-Adaptive Penalty Parameters for Monotone Variational Inequalities

A dual algorithm for the solution of nonlinear variational problems via finite element approximation

Daniel Gabay, Bertrand Mercier · Computers & Mathematics with Applications · 1976 · 2.6K citations · Full text

Computing, Computational Engineering, Mathematics +15

Splitting Algorithms for the Sum of Two Nonlinear Operators

Pierre‐Louis Lions, Bertrand Mercier · SIAM Journal on Numerical Analysis · 1979 · 2K citations

Computing, Computer Science, Algorithms +8

Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications

Patrick T. Harker, Jong‐Shi Pang · Mathematical Programming · 1990 · 1.8K citations

Natural Sciences, Computational Engineering, Mathematics +14

Numerical Methods for Nonlinear Variational Problems

Roland Glowinski, J. Tinsley Oden · Journal of Applied Mechanics · 1985 · 1.6K citations · Full text

Natural Sciences, Mathematics, Physics +14

Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics.

J. Tinsley Oden, Roland Glowinski, Patrick Le Tallec · Mathematics of Computation · 1992 · 1K citations

Engineering, Mechanical Engineering, Applied Mechanics +16