Solving the 2-D elliptic Monge-Ampère equation by a Kansa's method
type: Item
instance of: scholarly article
title: Solving the 2-D elliptic Monge-Ampère equation by a Kansa's method
zbMATH Open document ID: 1368.65213
author: Qin Li
author: Zhi-Yong Liu
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2017-08-03T00:00:00Z
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 6756199
zbMATH Keywords: radial basis functions
zbMATH Keywords: Kansa's method
zbMATH Keywords: Monge-Ampère equation
zbMATH Keywords: finite element methods
zbMATH Keywords: meshfree methods
zbMATH Keywords: interpolation
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: s10255-017-0656-3
OpenAlex ID: W2609755135
cites work: Q3355178
cites work: Two Numerical Methods for the elliptic Monge-Ampère equation
cites work: Numerical Methods for Nonlinear Elliptic Differential Equations
cites work: 𝒞⁰ penalty methods for the fully nonlinear Monge-Ampère equation
cites work: The Mathematical Theory of Finite Element Methods
cites work: Q4162607
cites work: An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions
cites work: Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type
cites work: Q3526601
cites work: Q5482731
cites work: Q4868581
cites work: Q3446085
cites work: CONTINUATION FOR NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS DISCRETIZED BY THE MULTIQUADRIC METHOD
cites work: Mixed Finite Element Methods for the Fully Nonlinear Monge–Ampère Equation Based on the Vanishing Moment Method
cites work: Analysis of Galerkin methods for the fully nonlinear Monge-Ampère equation
cites work: Fast finite difference solvers for singular solutions of the elliptic Monge-Ampère equation
cites work: Convergent Finite Difference Solvers for Viscosity Solutions of the Elliptic Monge–Ampère Equation in Dimensions Two and Higher
cites work: Q5190848
cites work: 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
cites work: A meshfree interpolation method for the numerical solution of the coupled nonlinear partial differential equations
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: Solving Nonlinear Equations with Newton's Method
cites work: Application of meshfree collocation method to a class of nonlinear partial differential equations
cites work: Wide stencil finite difference schemes for the elliptic Monge-Ampère equation and functions of the eigenvalues of the Hessian
cites work: 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
cites work: Risk premium and fair option prices under stochastic volatility: the HARA solution.
cites work: Q5581304
cites work: Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
DOI: 10.1007/S10255-017-0656-3
description: scientific article; zbMATH DE number 6756199