Trivariate spline collocation methods for numerical solution to 3D Monge-Ampère equation (Q6101556)

scientific article; zbMATH DE number 7698862

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English	Trivariate spline collocation methods for numerical solution to 3D Monge-Ampère equation	scientific article; zbMATH DE number 7698862

Statements

instance of

scholarly article

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title

Trivariate spline collocation methods for numerical solution to 3D Monge-Ampère equation (English)

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Journal of Scientific Computing

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publication date

20 June 2023

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full work available at URL

https://arxiv.org/abs/2206.05381

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zbMATH Keywords

Monge-Ampére equation equation

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collocation method

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iterative constrained minimization

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spline functions

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MaRDI profile type

MaRDI publication profile

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cites work

Minimizing Flows for the Monge--Kantorovich Problem

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Standard finite elements for the numerical resolution of the elliptic Monge–Ampère equation: Aleksandrov solutions

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A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs

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Global regularity for the Monge-Ampère equation with natural boundary condition

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Mixed Finite Element Methods for the Fully Nonlinear Monge–Ampère Equation Based on the Vanishing Moment Method

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Convergent Finite Difference Solvers for Viscosity Solutions of the Elliptic Monge–Ampère Equation in Dimensions Two and Higher

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Q5723445

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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

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Spline Functions

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Solving elliptic PDE's on domains with curved boundaries with an immersed penalized boundary method

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Q4805362

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Optimal Transport

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REGULARITY FOR MONGE-AMPERE EQUATION NEAR THE BOUNDARY

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Identifiers

zbMATH Open document ID

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10.1007/s10915-023-02183-9

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6101556