A new Lagrange multiplier approach for gradient flows

Q Cheng, C Liu, J Shen - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
… a new Lagrange multiplier approach to design unconditional energy stable schemes for
gradient flows. The new approach … efficient as the recently proposed SAV approach (Shen, Xu, …

A new Lagrange multiplier approach for constructing structure preserving schemes, II. Bound preserving

Q Cheng, J Shen - SIAM Journal on Numerical Analysis, 2022 - SIAM
… a class of positivity preserving schemes using a new Lagrange multiplier approach. A
main objective of this paper is to extend the approach in [7] to construct bound preserving …

A generalized Lagrangian function and multiplier method

H Nakayama, H Sayama, Y Sawaragi - Journal of Optimization Theory and …, 1975 - Springer
… we consider the multiplier method from the viewpoint of the duality of the generalized Lagrangian
function which … Then, we suggest a multipIier method to deal with inequality constraints. …

A new Lagrange multiplier approach for constructing structure preserving schemes, I. Positivity preserving

Q Cheng, J Shen - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
new Lagrange multiplier approach to construct positivity preserving schemes for parabolic
type equations. The new approach introduces a space–time Lagrange multiplierapproach to …

[BOOK][B] Constrained optimization and Lagrange multiplier methods

DP Bertsekas - 2014 - books.google.com
… in a variety of interesting methods utilizing Lagrange multiplier iterations and competing with
… of these Lagrange multiplier methods starting with the quadratic method of multipliers for (…

Distributed Lagrange multiplier method for particulate flows with collisions

P Singh, TI Hesla, DD Joseph - International Journal of Multiphase Flow, 2003 - Elsevier
… distributed Lagrange multiplier/fictitious domain method (DLM… In the earlier versions of the
DLM method for Newtonian and … In the distributed Lagrange multiplier method this constraint …

A mortar finite element method using dual spaces for the Lagrange multiplier

BI Wohlmuth - SIAM journal on numerical analysis, 2000 - SIAM
… serves as a space of Lagrange multipliers. In this paper, this Lagrange multiplier space is
replaced by a dual space without losing the optimality of the method. The advantage of this …

New approaches to identification of the Lagrange multiplier in the variational iteration method

SS Samaee, O Yazdanpanah, DD Ganji - Journal of the Brazilian Society …, 2015 - Springer
… In this paper, new methods to obtain the Lagrange multiplier are presented. Differential …
have different Lagrange multipliers. In this article, steps of the proposed methods are fully …

A distributed Lagrange multiplier/fictitious domain method for particulate flows

R Glowinski, TW Pan, TI Hesla, DD Joseph - International Journal of …, 1999 - Elsevier
… A new Lagrange-multiplier based fictitious-domain method is presented for the direct … The
method uses a finite-element discretization in space and an operator-splitting technique for …

A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows

NA Patankar, P Singh, DD Joseph, R Glowinski… - International Journal of …, 2000 - Elsevier
… case without extra conditions on the space of the distributed Lagrange multipliers. In this
paper we present an approach in which the deformation rate tensor within the particle domain is …