𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Domain Decomposition Method Based on BEM and FEM for Linear Exterior Boundary Value Problems

✍ Scribed by Gabriel N. Gatica; George C. Hsiao; Mario E. Mellado

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
137 KB
Volume
262
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

We develop the finite dimensional analysis of a new domain decomposition method for linear exterior boundary value problems arising in potential theory and heat conductivity. Our approach uses a Dirichlet-to-Neumann mapping to transform the exterior problem into an equivalent boundary value problem on a bounded domain. Then the domain is decomposed into a finite number of annular subregions and the local Steklov᎐Poincare operators are expressed conveniently éither by BEM or FEM in order to obtain a symmetric interface problem. The global Steklov᎐Poincare problem is solved by using both a Richardson-type scheme ánd the preconditioned conjugate gradient method, which yield iteration-by-subdomain algorithms well suited for parallel processing. Finally, contractivity results and finite dimensional approximations are provided.

📜 SIMILAR VOLUMES

A fast domain decomposition method based
A fast domain decomposition method based on orthogonal polynomials approximation for solving electromagnetic scattering problems
✍ Zhi-Qing Lü; Xiang An 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 301 KB

## Abstract The partial basic solution vector based domain decomposition method (PBSV‐DDM) is well suited for solving large‐scale finite periodic electromagnetic problems.In this work, a new implementation scheme is developed to improve the efficiency of the PBSV‐DDM. A set of orthogonal polynomial