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>...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awdur:	Kawecki, E
Awduron Eraill:	Suli, E
Fformat:	Traethawd Ymchwil
Iaith:	English
Cyhoeddwyd:	2018
Pynciau:	Mathematics

Eitemau Tebyg

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

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

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

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

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

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

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

Differential invariants of generic hyperbolic Monge-Ampère equations
gan: Marvan Michal, et al.
Cyhoeddwyd: (2007-03-01)

Scalar differential invariants of symplectic Monge-Ampère equations
gan: Paris Alessandro, et al.
Cyhoeddwyd: (2011-08-01)

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

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

Radial solutions for fully nonlinear elliptic equations of Monge–Ampère type
gan: Limei Dai, et al.
Cyhoeddwyd: (2021-09-01)

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

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

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

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

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

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

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

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

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

Global interval bifurcation and convex solutions for the Monge-Ampere equations
gan: Wenguo Shen
Cyhoeddwyd: (2018-01-01)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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