Cascadic Newton’s method for the elliptic Monge–Ampère equation
From MaRDI portal
Publication:5117172
DOI10.1142/S0219691320500186zbMath1446.65143MaRDI QIDQ5117172
Publication date: 20 August 2020
Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)
nonlinear partial differential equationsfinite differenceMonge-Ampère equationcascadic multigridfull-local interpolation
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear elliptic equations (35J60) Numerical interpolation (65D05) Finite difference methods for boundary value problems involving PDEs (65N06) Monge-Ampère equations (35J96)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fast finite difference solvers for singular solutions of the elliptic Monge-Ampère equation
- Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations
- Spline element method for Monge-Ampère equations
- An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions
- Wide stencil finite difference schemes for the elliptic Monge-Ampère equation and functions of the eigenvalues of the Hessian
- Optimal multigrid methods with new transfer operators based on finite difference approximations
- On the numerical solution of the equation \(\frac{\partial ^ 2z\partial ^ 2z}{\partial x^ 2\partial y^ 2}-(\frac{\partial ^ 2z}{\partial x\partial y})^ 2=f\) and its discretizations. I
- The cascadic multigrid method for elliptic problems
- Some estimates of the rate of convergence for the cascadic conjugate-gradient method
- A cascadic multigrid algorithm for semilinear indefinite elliptic problems
- Numerical solution of the Monge--Ampère equation by a Newton's algorithm
- A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation
- A meshfree method for solving the Monge-Ampère equation
- Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type
- Convergent Finite Difference Solvers for Viscosity Solutions of the Elliptic Monge–Ampère Equation in Dimensions Two and Higher
- Mixed Finite Element Methods for the Fully Nonlinear Monge–Ampère Equation Based on the Vanishing Moment Method
- Two Numerical Methods for the elliptic Monge-Ampère equation
- Solving Nonlinear Equations with Newton's Method
- Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton--Jacobi Equations and Free Boundary Problems
- Two-scale method for the Monge–Ampère equation: pointwise error estimates