An optimal adaptive Fictitious Domain Method
نویسندگان
چکیده
منابع مشابه
An Adaptive Fictitious Domain Method for elliptic problems
In the Fictitious Domain Method with Lagrange multiplier (FDM) the physical domain is embedded into a simpler but larger domain called the fictitious domain. The partial differential equation is extended to the fictitious domain using a Lagrange multiplier to enforce the prescribed boundary conditions on the physical domain while all the other data are extended to the fictitious domain. This le...
متن کاملControl/fictitious domain method for solving optimal shape design problems
— Combining a fictitious domain and an optimal control approach, we present a new method for the numerical realization of optimal shape design problems. This approach enables us to perform ail calculations on a fixed domain with a fixed grid. Finite element approximation is studied. Résumé. — On présente une méthode nouvelle pour la résolution numérique des problèmes de Voptimisation de la form...
متن کاملA new fictitious domain method in shape optimization
The present paper is concerned with investigating the capability of the smoothness preserving fictitious domain method from Mommer (IMA J. Numer. Anal. 26:503–524, 2006) to shape optimization problems. We consider the problem of maximizing the Dirichlet energy functional in the class of all simply connected domains with fixed volume, where the state equation involves an elliptic second order di...
متن کاملA fictitious domain/finite element method for particulate flows
The paper presents a finite element method for the direct numerical simulation of 3D incompressible fluid flows with suspended rigid particles. It uses the fictitious domain approach extending the fluid domain into the domain occupied by the particles. Although the idea for the present formulation came from the fictitious domain formulation of Glowinski et al. [J. Comput. Phys. 169 (2001) 363] ...
متن کاملAn optimal adaptive mixed finite element method
Various applications in fluid dynamics and computational continuum mechanics motivate the development of reliable and efficient adaptive algorithms for mixed finite element methods. In order to save degrees of freedom, not all but just a selection of finite element domains are refined. Hence the fundamental question of convergence as well as the question of optimality require new mathematical a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2019
ISSN: 0025-5718,1088-6842
DOI: 10.1090/mcom/3414