An Unconventional Domain Decomposition Method for an Efficient Parallel Solution of Large-Scale Finite Element Systems

1992 ◽  
Vol 13 (1) ◽  
pp. 379-396 ◽  
Author(s):  
Charbel Farhat ◽  
Francois-Xavier Roux
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Large Scale ◽  
Domain Decomposition Method ◽  
Parallel Solution ◽  
Finite Element Systems

Large Scale Elasto-Plastic Analysis Using Domain Decomposition Method Optimized for Multi-Core CPU Architecture

2011 ◽  
Vol 462-463 ◽  
pp. 605-610 ◽  
Author(s):  
Hiroshi Kawai ◽  
Masao Ogino ◽  
Ryuji Shioya ◽  
Shinobu Yoshimura
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Large Scale ◽  
Seismic Analysis ◽  
Domain Decomposition Method ◽  
Computational Time ◽  
Finite Element Code ◽  
Direct Solver ◽  
Parallel Finite Element

To solve a large scale elasto-plastic dynamics analysis of a complicated structure, such as a seismic analysis of a nuclear power plant and a skyscraper, a new implementation strategy for a parallel finite element code, suitable on a parallel supercomputer with modern multi-core / many core scalar CPUs, has been required. In this work, we propose a new design and programming style to optimize the performance of a parallel finite element code based on the domain-decomposition method (DDM) on multi-core CPUs, considering their cache hierarchy. Instead of a traditional, memory access-intensive approach, DS (Direct solver-based matrix Storage), two new matrix storage-free approaches, DSF (Direct solver-based matrix Storage-Free) and ISF (Iterative solver-based matrix Storage-Free), are proposed. Our new DSF/ISF-based DDM solver is not only more efficient in memory usage but also comparable in computational time against existing DS-based DDM solvers on multi-core CPU architectures.

A NEW INTERFACE CEMENT EQUILIBRATED MORTAR (NICEM) METHOD WITH ROBIN INTERFACE CONDITIONS: THE P1 FINITE ELEMENT CASE

2013 ◽  
Vol 23 (12) ◽  
pp. 2253-2292 ◽  
Author(s):  
CAROLINE JAPHET ◽  
YVON MADAY ◽  
FREDERIC NATAF
Keyword(s):  
Finite Element ◽  
Error Analysis ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Numerical Results ◽  
New Method ◽  
Interface Conditions ◽  
Well Posed

We design and analyze a new non-conforming domain decomposition method, named the NICEM method, based on Schwarz-type approaches that allows for the use of Robin interface conditions on non-conforming grids. The method is proven to be well posed. The error analysis is performed in 2D and in 3D for P1 elements. Numerical results in 2D illustrate the new method.

A Nonstandard Schwarz Domain Decomposition Method for Finite-Element Mesh Truncation of Infinite Arrays

2018 ◽  
Vol 66 (11) ◽  
pp. 6179-6190
Author(s):  
Daniel Garcia-Donoro ◽  
Luis Emilio Garcia-Castillo ◽  
Tapan Kumar Sarkar ◽  
Yu Zhang
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Finite Element Mesh ◽  
Element Mesh
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