Coupled Peridynamics Least Square Minimization with Finite Element Method in 3D and Implicit Solutions by Message Passing Interface

2021 ◽  
Author(s):  
Qibang Liu ◽  
X. J. Xin ◽  
Jeff Ma
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Message Passing ◽  
Message Passing Interface ◽  
Least Square ◽  
Element Method

Parallelized Simulation of a Finite Element Method in Many Integrated Core Architecture

2017 ◽  
Vol 139 (2) ◽  
Author(s):  
Moonho Tak ◽  
Taehyo Park
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Linear Algebra ◽  
Message Passing ◽  
Message Passing Interface ◽  
Domain Decomposition Method ◽  
Xeon Phi ◽  
Parallel Libraries ◽  
Many Integrated Core ◽  
Element Method

We investigate a domain decomposition method (DDM) of finite element method (FEM) using Intel's many integrated core (MIC) architecture in order to determine the most effective MIC usage. For this, recently introduced high-scalable parallel method of DDM is first introduced with a detailed procedure. Then, the Intel's Xeon Phi MIC architecture is presented to understand how to apply the parallel algorithm into a multicore architecture. The parallel simulation using the Xeon Phi MIC has an advantage that traditional parallel libraries such as the message passing interface (MPI) and the open multiprocessing (OpenMP) can be used without any additional libraries. We demonstrate the DDM using popular libraries for solving linear algebra such as the linear algebra package (LAPACK) or the basic linear algebra subprograms (BLAS). Moreover, both MPI and OpenMP are used for parallel resolutions of the DDM. Finally, numerical parallel efficiencies are validated by a two-dimensional numerical example.

Least-square finite element method for electromagnetic fields in 2-D

1993 ◽  
Vol 58 (2-3) ◽  
pp. 143-167 ◽  
Author(s):  
J.S. Li ◽  
Z.Y. Yu ◽  
X.Q. Xiang ◽  
W.P. Ni ◽  
C.L. Chang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Electromagnetic Fields ◽  
Least Square ◽  
Element Method
Sign in / Sign up

Export Citation Format

Share Document