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>...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолч:	Kawecki, E
Бусад зохиолчид:	Suli, E
Формат:	Дипломын ажил
Хэл сонгох:	English
Хэвлэсэн:	2018
Нөхцлүүд:	Mathematics

Ижил төстэй зүйлс

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

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

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

On Neumann problem for the degenerate Monge–Ampère type equations
-н: Juhua Shi, зэрэг
Хэвлэсэн: (2021-01-01)

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

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

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

Symmetries, Reductions and Exact Solutions of Nonstationary Monge–Ampère Type Equations
-н: Alexander V. Aksenov, зэрэг
Хэвлэсэн: (2025-02-01)

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

Extended symmetry of the Witten-Dijkgraaf-Verlinde-Verlinde equation of Monge-Ampere type
-н: Patryk Sitko, зэрэг
Хэвлэсэн: (2025-03-01)

A sharp global estimate and an overdetermined problem for Monge-Ampère type equations
-н: Mohammed Ahmed, зэрэг
Хэвлэсэн: (2022-02-01)

An adaptive least-squares algorithm for the elliptic Monge–Ampère equation
-н: Caboussat, Alexandre, зэрэг
Хэвлэсэн: (2023-10-01)

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

Singular structures in solutions to the Monge-Ampère equation with point masses
-н: Connor Mooney, зэрэг
Хэвлэсэн: (2023-10-01)

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

Entire Solutions of Cauchy Problem for Parabolic Monge–Ampère Equations
-н: Dai Limei, зэрэг
Хэвлэсэн: (2020-11-01)

Design of optical surfaces conform the hyperbolic Monge-Ampère equation
-н: Bertens M.W.M.C., зэрэг
Хэвлэсэн: (2022-01-01)

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

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

Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator
-н: Du Guangwei, зэрэг
Хэвлэсэн: (2024-02-01)

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

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

Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values
-н: Jia, Xiaobiao, зэрэг
Хэвлэсэн: (2023-01-01)

Positive Solutions of Two-Point Boundary Value Problems for Monge-Ampère Equations
-н: Baoqiang Yan, зэрэг
Хэвлэсэн: (2015-01-01)

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

Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation
-н: Jian Huaiyu, зэрэг
Хэвлэсэн: (2023-04-01)

Asymptotic behavior of solutions to the Monge-Ampère equations with slow convergence rate at infinity
-н: Liu Zixiao, зэрэг
Хэвлэсэн: (2023-03-01)

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

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

A C 2,α,β estimate for complex Monge–Ampère type equations with conic sigularities
-н: Huang Liding, зэрэг
Хэвлэсэн: (2024-03-01)

The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation
-н: Juan Wang, зэрэг
Хэвлэсэн: (2013-01-01)

Solvability Criterion for a System Arising from Monge–Ampère Equations with Two Parameters
-н: Liangyu Wang, зэрэг
Хэвлэсэн: (2024-03-01)

Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator
-н: Xuemei Zhang, зэрэг
Хэвлэсэн: (2017-11-01)

The inverse Monge–Ampère flow and applications to Kähler–Einstein metrics
-н: Collins, Tristan C, зэрэг
Хэвлэсэн: (2022)

Unsteady Magnetohydrodynamics PDE of Monge–Ampère Type: Symmetries, Closed-Form Solutions, and Reductions
-н: Andrei D. Polyanin, зэрэг
Хэвлэсэн: (2024-07-01)

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

Some applications and maximum principles for multi-term time-space fractional parabolic Monge-Ampère equation
-н: Guan Tingting, зэрэг
Хэвлэсэн: (2024-08-01)

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

On symmetry reduction and some classes of invariant solutions of the (1+3)-dimensional homogeneous Monge-Ampère equation
-н: Vasyl Fedorchuk, зэрэг
Хэвлэсэн: (2021-12-01)

Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation
-н: Wan Haitao, зэрэг
Хэвлэсэн: (2021-08-01)