DOI10.1016/j.crma.2004.09.018zbMath1063.65121OpenAlexW2059686907MaRDI QIDQ1764099
Edward J. Dean, Roland Glowinski
Publication date: 23 February 2005
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2004.09.018
A quadratically constrained minimization problem arising from PDE of Monge-Ampère type,
A problem with condition containing an integral term for a parabolic-hyperbolic equation,
A problem with integral conditions with respect to time for Gårding hyperbolic equations,
Optimal transport, shape optimization and global minimization,
Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations,
Quadratic finite element approximations of the Monge-Ampère equation,
Trivariate spline collocation methods for numerical solution to 3D Monge-Ampère equation,
On the solvability of spatially nonlocal problems with conditions of integral form for some classes of nonstationary equations,
An efficient approach for the numerical solution of the Monge-Ampère equation,
Adaptive isogeometric analysis using optimal transport and their fast solvers,
A note on the Monge–Ampère type equations with general source terms,
On the stability of an explicit difference scheme for hyperbolic equations with nonlocal boundary conditions,
Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation,
Solvability of a boundary-value problem with an integral boundary condition of the second kind for equations of odd order,
Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation,
Classical solution of a problem with an integral condition for the one-dimensional wave equation,
A review of numerical methods for nonlinear partial differential equations,
A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation,
An accelerated method for nonlinear elliptic PDE,
On standard finite difference discretizations of the elliptic Monge-Ampère equation,
Numerical solution of the Monge--Ampère equation by a Newton's algorithm,
The Monge-Ampère equation: various forms and numerical solution,
A convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on convex polygonal domains,
Spline element method for Monge-Ampère equations,
Adaptivity with moving grids,
Optimization approach for the Monge-Ampère equation,
On a certain nonlocal problem for a hyperbolic equation,
Solving the Monge–Ampère equations for the inverse reflector problem,
On the numerical solution of a two-dimensional Pucci's equation with Dirichlet boundary conditions: a least-squares approach
