Finite element methods for Monge–Ampère type equations

Finite element methods for Monge–Ampère type equations

<p>This thesis focuses on the numerical analysis of partial differential equations (PDEs), the main goal being the development and analysis of finite element methods (FEMs) for fully nonlinear elliptic PDEs, particularly Monge-Ampère (MA) and Hamilton-Jacobi-Bellman (HJB) equations.</p>...

Bibliografiset tiedot
Päätekijä:	Kawecki, E
Muut tekijät:	Suli, E
Aineistotyyppi:	Opinnäyte
Kieli:	English
Julkaistu:	2018
Aiheet:	Mathematics

Samankaltaisia teoksia

Multidimensional monge-ampere equation /
Tekijä: Pogorelov, A. V. (Aleksei Vasilevich), 1919-2002
Julkaistu: (2008)

Degenerate Monge-Ampere equations over projective manifolds
Tekijä: Zhang, Zhou, Ph. D. Massachusetts Institute of Technology
Julkaistu: (2006)

The Monge-Ampere equation /
Tekijä: Gutierrez, Cristian E., 1950-
Julkaistu: (2001)

On Neumann problem for the degenerate Monge–Ampère type equations
Tekijä: Juhua Shi, et al.
Julkaistu: (2021-01-01)

Discrete Aleksandrov solutions of the Monge-Ampere equation
Tekijä: Gerard Awanou
Julkaistu: (2022-08-01)

Higher asymptotics of the complex Monge-Ampère equation and geometry of CR-manifolds
Tekijä: Lee, John Marshall.
Julkaistu: (2022)

Aleksandrov-type estimates for a parabolic Monge-Ampere equation
Tekijä: David Hartenstine
Julkaistu: (2005-01-01)

Symmetries, Reductions and Exact Solutions of Nonstationary Monge–Ampère Type Equations
Tekijä: Alexander V. Aksenov, et al.
Julkaistu: (2025-02-01)

A note on second derivative estimates for Monge-Ampère-type equations
Tekijä: Trudinger Neil S.
Julkaistu: (2023-01-01)

Extended symmetry of the Witten-Dijkgraaf-Verlinde-Verlinde equation of Monge-Ampere type
Tekijä: Patryk Sitko, et al.
Julkaistu: (2025-03-01)

A sharp global estimate and an overdetermined problem for Monge-Ampère type equations
Tekijä: Mohammed Ahmed, et al.
Julkaistu: (2022-02-01)

An adaptive least-squares algorithm for the elliptic Monge–Ampère equation
Tekijä: Caboussat, Alexandre, et al.
Julkaistu: (2023-10-01)

Convex radial solutions for Monge-Ampère equations involving the gradient
Tekijä: Zhilin Yang
Julkaistu: (2023-11-01)

Singular structures in solutions to the Monge-Ampère equation with point masses
Tekijä: Connor Mooney, et al.
Julkaistu: (2023-10-01)

Convex solutions of systems arising from Monge-Ampere equations
Tekijä: Haiyan Wang
Julkaistu: (2009-10-01)

Entire Solutions of Cauchy Problem for Parabolic Monge–Ampère Equations
Tekijä: Dai Limei, et al.
Julkaistu: (2020-11-01)

Design of optical surfaces conform the hyperbolic Monge-Ampère equation
Tekijä: Bertens M.W.M.C., et al.
Julkaistu: (2022-01-01)

Dirichlet problem for degenerate elliptic complex Monge-Ampere equation
Tekijä: Saoussen Kallel-Jallouli
Julkaistu: (2004-04-01)

Global Bifurcation from Intervals for the Monge-Ampère Equations and Its Applications
Tekijä: Wenguo Shen
Julkaistu: (2018-01-01)

Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator
Tekijä: Du Guangwei, et al.
Julkaistu: (2024-02-01)

A monotonicity approach to Pogorelov's Hessian estimates for Monge- Ampère equation
Tekijä: Yu Yuan
Julkaistu: (2023-06-01)

A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds
Tekijä: Qiang Ru
Julkaistu: (2013-01-01)

Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values
Tekijä: Jia, Xiaobiao, et al.
Julkaistu: (2023-01-01)

Positive Solutions of Two-Point Boundary Value Problems for Monge-Ampère Equations
Tekijä: Baoqiang Yan, et al.
Julkaistu: (2015-01-01)

Continuous and Lp estimates for the complex Monge-Ampère equation on bounded domains in ℂn
Tekijä: Patrick W. Darko
Julkaistu: (2002-01-01)

Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation
Tekijä: Jian Huaiyu, et al.
Julkaistu: (2023-04-01)

Asymptotic behavior of solutions to the Monge-Ampère equations with slow convergence rate at infinity
Tekijä: Liu Zixiao, et al.
Julkaistu: (2023-03-01)

Convex solutions of Monge-Ampère equations and systems: Existence, uniqueness and asymptotic behavior
Tekijä: Feng Meiqiang
Julkaistu: (2020-08-01)

Regularity theory for quasilinear elliptic systems and Monge-Ampere equations in two dimensions /
Tekijä: 231498 Schulz, Friedmar
Julkaistu: (1990)

A C 2,α,β estimate for complex Monge–Ampère type equations with conic sigularities
Tekijä: Huang Liding, et al.
Julkaistu: (2024-03-01)

The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation
Tekijä: Juan Wang, et al.
Julkaistu: (2013-01-01)

Solvability Criterion for a System Arising from Monge–Ampère Equations with Two Parameters
Tekijä: Liangyu Wang, et al.
Julkaistu: (2024-03-01)

Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator
Tekijä: Xuemei Zhang, et al.
Julkaistu: (2017-11-01)

The inverse Monge–Ampère flow and applications to Kähler–Einstein metrics
Tekijä: Collins, Tristan C, et al.
Julkaistu: (2022)

Unsteady Magnetohydrodynamics PDE of Monge–Ampère Type: Symmetries, Closed-Form Solutions, and Reductions
Tekijä: Andrei D. Polyanin, et al.
Julkaistu: (2024-07-01)

On an {\it a priori} $L^\infty$ estimate for a class of Monge-Ampère type equations on compact almost Hermitian manifolds
Tekijä: Masaya Kawamura
Julkaistu: (2022-08-01)

Some applications and maximum principles for multi-term time-space fractional parabolic Monge-Ampère equation
Tekijä: Guan Tingting, et al.
Julkaistu: (2024-08-01)

Refined Boundary Behavior of the Unique Convex Solution to a Singular Dirichlet Problem for the Monge–Ampère Equation
Tekijä: Zhang Zhijun
Julkaistu: (2018-04-01)

On symmetry reduction and some classes of invariant solutions of the (1+3)-dimensional homogeneous Monge-Ampère equation
Tekijä: Vasyl Fedorchuk, et al.
Julkaistu: (2021-12-01)

Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation
Tekijä: Wan Haitao, et al.
Julkaistu: (2021-08-01)