๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Analysis of a nonoverlapping domain decomposition method for elliptic partial differential equations

โœ Scribed by J.R. Rice; E.A. Vavalis; Daoqi Yang

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
463 KB
Volume
87
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this study we analyze a nonoverlapping domain decomposition method for the solution of elliptic Partial Differential Equation (PDE) problems. This domain decomposition method involves the solution of Dirichlet and Neumann PDE problems on each subdomain, coupled with smoothing operations on the interfaces of the subdomains. The convergence analysis of the method at the differential equation level is presented. The numerical results confirm the theoretical ones and exhibit the computational efficiency of the method.

๐Ÿ“œ SIMILAR VOLUMES

A domain decomposition method for optimi
A domain decomposition method for optimization problems for partial differential equations
โœ M.D. Gunzburger; Jeehyun Lee ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 786 KB

A nonoverlapping domain decomposition method for optimization problems for partial differential equations is presented. The domain decomposition is effected through an auxiliary optimization problem. This results in an multiobjective optimization problem involving the given functional and the auxili

An optimization based domain decompositi
An optimization based domain decomposition method for partial differential equations
โœ M.D. Gunzburger; J.S. Peterson; H. Kwon ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 906 KB

An optimization-based domain decomposition method for the solution of partial differential equations is presented. The crux of the method is a constrained minimization problem for which the objective functional measures the jump in the dependent variables across the common boundaries between subdoma

A Schwarz domain decomposition method wi
A Schwarz domain decomposition method with gradient projection for optimal control governed by elliptic partial differential equations
โœ Huibin Chang; Danping Yang ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 604 KB

Geometric convergence rate a b s t r a c t A domain decomposition method (DDM) is presented to solve the distributed optimal control problem. The optimal control problem essentially couples an elliptic partial differential equation with respect to the state variable and a variational inequality with