Monge-Ampère Equation and Its Numerical Analysis

Simple item page
dc.contributor.advisorSabra, Ahmad
dc.contributor.authorIsmail, Dima
dc.contributor.commembersLakkis, Omar
dc.contributor.commembersNassif, Nabil
dc.contributor.commembersMoufawad, Sophie
dc.contributor.degreeMS
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences
dc.contributor.institutionAmerican University of Beirut
dc.date2025
dc.date.accessioned2025-05-15T08:24:15Z
dc.date.available2025-05-15T08:24:15Z
dc.date.issued2025-05-14T21:00:00Z
dc.date.submitted2025-05-05T21:00:00Z
dc.descriptionRelease date : 2027-05-06.
dc.description.abstractIn this study, we focus on the Monge-Ampère equation and its applications in non linear partial differential equations (PDEs). The work extends upon existing math ematical frameworks to include the derivation of the Monge-Ampère equation and its numerical solution. Employing a rigorous analytical approach, the derivation highlights the intrinsic geometric and variational principles underlying the equa tion. Furthermore, in the numerical solution, we use finite element techniques, implementing them to solve the Monge-Ampère equation efficiently using FEniCS.
dc.identifier.urihttp://hdl.handle.net/10938/34941
dc.language.isoen
dc.subject.lcshMonge-Ampère equations
dc.subject.lcshDifferential equations, Partial
dc.subject.lcshNumerical analysis
dc.titleMonge-Ampère Equation and Its Numerical Analysis
dc.typeThesis
local.AUBID202473102

Files

Collections

AUB Students' Theses, Dissertations, and Projects