scientific article; zbMATH DE number 7485177

zbMath1499.65643MaRDI QIDQ5862221

Gerard Awanou, Hengguang Li

Publication date: 7 March 2022

Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/550.html

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zbMATH Keywords

fixed pointmixed finite elementsLagrange elementsMonge-Ampère

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Monge-Ampère equations (35J96)

Related Items (7)

Erratum to: ``Quadratic mixed finite element approximations of the Monge-Ampère equation in 2D ⋮ A least-squares/relaxation method for the numerical solution of the three-dimensional elliptic Monge-Ampère equation ⋮ Quadratic mixed finite element approximations of the Monge-Ampère equation in 2D ⋮ Trivariate spline collocation methods for numerical solution to 3D Monge-Ampère equation ⋮ Residual-based a posteriori error estimates for a conforming mixed finite element discretization of the Monge-Amp\`ere equation ⋮ Unnamed Item ⋮ Spline element method for Monge-Ampère equations

Cites Work

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• Finite element methods for fully nonlinear second order PDEs based on a discrete Hessian with applications to the Monge-Ampère equation
• Boundary regularity for the Monge-Ampère and affine maximal surface equations
• A Finite Element Method for Nonlinear Elliptic Problems
• 𝒞⁰ penalty methods for the fully nonlinear Monge-Ampère equation
• Mixed Finite Element Methods for the Fully Nonlinear Monge–Ampère Equation Based on the Vanishing Moment Method
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I

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