2-Dimensional primal domain decomposition theory in detail

A strongly convergent primal-dual method for nonoverlapping domain decomposition

We propose a primal-dual parallel proximal splitting method for solving domain decomposition problems for partial differential equations. The problem is formulated via minimization of energy functions on the subdomains with coupling constraints which model various properties of the solution at the interfaces. The proposed method can handle a wide range of linear and nonlinear problems, with fle...

Accomodating Irregular Subdomains in Domain Decomposition Theory

In the theory for domain decomposition methods, it has previously often been assumed that each subdomain is the union of a small set of coarse shaperegular triangles or tetrahedra. Recent progress is reported, which makes it possible to analyze cases with irregular subdomains such as those produced by mesh partitioners. The goal is to extend the analytic tools so that they work for problems on ...

Unified Theory of Domain Decomposition Methods

A wavelet "time-shift-detail" decomposition

Fairness and Aggregation: A Primal Decomposition Study

We examine the fair allocation of capacity to a large population of best-effort connections in a typical multiple access communication system supporting some bandwidth on demand processes. Because of stringent limitations on the signalling overhead and time available to transmit and process information, it is not possible to solve the allocation globally to obtain the optimally fair allocation ...