Publication

An operator-splitting approach to nonoverlapping domain decomposition methods

2004
Reports

Abstract

The Robin-Robin method is an iterative substructuring method to solve boundary-value problems (b.v.p.) on domains partitioned into nonoverlapping subdomains. It involves mixed-type boundary conditions on the interface, which depend on suitable weighting coefficients in order to maximize the convergence rate. In this paper we interpret this algorithm as an alternating direction iterative method to compute the solution of the Steklov-Poincaré equation associated to the given b.v.p. . This interpretation allows the characterization of new preconditioners for the interface problem and provides a strategy to compute optimal relaxation parameters. Some numerical examples are presented.

Official source

https://infoscience.epfl.ch/entities/publication/5f2f75b3-22c8-4d64-87b8-887a0e1164c0

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

2004
Reports

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/5f2f75b3-22c8-4d64-87b8-887a0e1164c0

About this result

Related concepts (31)

Numerical methods for partial differential equations

Numerical methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs). In principle, specialized methods for hyperbolic, parabolic or elliptic partial differential equations exist. Finite difference method In this method, functions are represented by their values at certain grid points and derivatives are approximated through differences in these values.

Robin boundary condition

In mathematics, the Robin boundary condition (ˈrɒbɪn; properly ʁɔbɛ̃), or third type boundary condition, is a type of boundary condition, named after Victor Gustave Robin (1855–1897). When imposed on an ordinary or a partial differential equation, it is a specification of a linear combination of the values of a function and the values of its derivative on the boundary of the domain. Other equivalent names in use are Fourier-type condition and radiation condition.

Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts.

Related publications (9)

An operator-splitting approach to nonoverlapping domain decomposition methods

Chat with Graph Search

Mass-zero constrained molecular dynamics for electrostatic interactions

Investigation into acceleration schemes for nuclear fuel performance mechanics solvers

MATHICSE Technical Report : A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion