Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Demlow, Alan"'
Autor:
Demlow, Alan
Trace finite element methods have become a popular option for solving surface partial differential equations, especially in problems where surface and bulk effects are coupled. In such methods a surface mesh is formed by approximately intersecting th
Externí odkaz:
http://arxiv.org/abs/2309.12209
Autor:
Demlow, Alan, Neilan, Michael
Surface Stokes and Navier-Stokes equations are used to model fluid flow on surfaces. They have attracted significant recent attention in the numerical analysis literature because approximation of their solutions poses significant challenges not encou
Externí odkaz:
http://arxiv.org/abs/2307.01435
We prove residual-type a posteriori error estimates in the maximum norm for a linear scalar elliptic convection-diffusion problem that may be singularly perturbed. Similar error analysis in the energy norm by Verf\"{u}rth indicates that a dual norm o
Externí odkaz:
http://arxiv.org/abs/2207.08251
The Stokes equation posed on surfaces is important in some physical models, but its numerical solution poses several challenges not encountered in the corresponding Euclidean setting. These include the fact that the velocity vector should be tangent
Externí odkaz:
http://arxiv.org/abs/1908.11460
Partial differential equations posed on surfaces arise in a number of applications. In this survey we describe three popular finite element methods for approximating solutions to the Laplace-Beltrami problem posed on an $n$-dimensional surface $\gamm
Externí odkaz:
http://arxiv.org/abs/1906.02786
Autor:
Bonito, Andrea, Demlow, Alan
We prove new a posteriori error estimates for surface finite element methods (SFEM). Surface FEM approximate solutions to PDE posed on surfaces. Prototypical examples are elliptic PDE involving the Laplace-Beltrami operator. Typically the surface is
Externí odkaz:
http://arxiv.org/abs/1802.01625
Elliptic partial differential equations on surfaces play an essential role in geometry, relativity theory, phase transitions, materials science, image processing, and other applications. They are typically governed by the Laplace-Beltrami operator. W
Externí odkaz:
http://arxiv.org/abs/1801.00197
Autor:
Demlow, Alan
Numerical computation of harmonic forms (typically called harmonic fields in three space dimensions) arises in various areas, including computer graphics and computational electromagnetics. The finite element exterior calculus framework also relies e
Externí odkaz:
http://arxiv.org/abs/1605.08813
Autor:
Bonito, Andrea, Demlow, Alan
Proofs of convergence of adaptive finite element methods for the approximation of eigenvalues and eigenfunctions of linear elliptic problems have been given in a several recent papers. A key step in establishing such results for multiple and clustere
Externí odkaz:
http://arxiv.org/abs/1508.06265
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.