Parallel implementation of the FETI-DPEM algorithm for general 3D EM simulations

Li, Yujia; Jin, Jian‐Ming

doi:10.1016/j.jcp.2009.01.029

Cited by 36 publications

(24 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Each subdomain is composed of a set of tetrahedra and shares a set of common triangular faces with neighboring subdomains. In each subdomain, edges are grouped into corner edges shared by more than two subdomains (denoted by c) and the remaining edges (r) (Farhat et al, 2001;Li and Jin, 2009) as shown in Figure 1. The remaining edges can be further categorized into interface edges and noninterface edges (boundary edges and internal edges).…”

Section: Methodsmentioning

confidence: 99%

“…Therefore, nonoverlapping approaches can be treated as a direct approach, which avoids the iterative procedures associated with approaches using overlapping subdomains. Among the nonoverlapping approaches, the recently developed dual-primal finite-element tearing and interconnecting (FETI-DP) method (Farhat et al (2001)) has shown remarkable performance and has swiftly gained widespread acceptance and success in structural analysis (Pierson et al, 2003), open-region electromagnetic propagation (Li and Jin, 2009), and electromechanical problems (Yao et al, 2012).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A finite-element-based domain-decomposition approach for plane wave 3D electromagnetic modeling

et al. 2014

View full text Add to dashboard Cite

We developed a novel parallel domain-decomposition approach for 3D large-scale electromagnetic induction modeling in the earth. We used the edge-based finite-element method and unstructured meshes. Unstructured meshes were divided into sets of nonoverlapping subdomains. We used the curlcurl electric field equation to carry out the analysis. In each subdomain, the electric field was discretized by first-order vector shape functions along the edges of tetrahedral elements. The tangential components of the magnetic field on the interfaces of the subdomains were defined as a set of Lagrange multipliers. The unknown Lagrange multipliers were solved from an interface problem defined on the interfaces of the subdomains. With the availability of the Lagrange multipliers, the electric field values in each subdomain were solved independently. Three synthetic examples were evaluated to verify our code. Excellent agreement with previously published solutions was obtained. Synthetic examples revealed that our domain decomposition technique is scalable with respect to the number of subdomains and robust with regard to frequency and the heterogeneous distribution of material parameters, i.e., electric conductivity, electric permittivity, and magnetic permeability.

show abstract

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A finite-element-based domain-decomposition approach for plane wave 3D electromagnetic modeling

et al. 2014

View full text Add to dashboard Cite

show abstract

“…To this end, a three-dimensional vector finite element method [18] in the frequency domain is developed to deal with nonlinear materials through the Newton-Raphson method with relaxation factors [19,20]. The method is further extended by using a domain decomposition method, the dual-primal finite element tearing and interconnecting (FETI-DP) method [21][22][23], to enhance its computational capability [24]. In the meantime, a preliminary study of the three-dimensional vector finite element method in the time domain is also conducted to deal with nonlinear materials [25].…”

Section: Introductionmentioning

confidence: 99%

THEORETICAL FORMULATION OF A TIME-DOMAIN FINITE ELEMENT METHOD FOR NONLINEAR MAGNETIC PROBLEMS IN THREE DIMENSIONS (Invited Paper)

Yan¹,

Jin²

2015

PIER

Self Cite

View full text Add to dashboard Cite

Abstract-In this work, a numerical solution of nonlinear ferromagnetic problems is formulated using the three-dimensional time-domain finite element method (TDFEM) combined with the inverse JilesAtherton (J-A) vector hysteresis model. After a brief introduction of the J-A constitutive model, the second-order nonlinear partial differential equation (PDE) is constructed through the magnetic vector potential in the time domain, which is then discretized by employing the Newmark-β scheme, and solved by applying the Newton-Raphson method. Different Newton-Raphson schemes are constructed and compared. The capability of the proposed methods is demonstrated by several numerical examples including the simulation of the physical demagnetization process, the prediction of the magnetic remanence in the ferromagnetic material, and the generation of higher-order harmonics.

show abstract

“…FETI-DP [3], devising alternative solution schemes, e.g BDDC , choosing well conditioned basis for the dual variable spaces i.e. modal fields [4] or plane waves, or even optimizing geometrical or mesh decomposition strategies i.e.…”

Section: Introductionmentioning

confidence: 99%

Recent advances on domain decomposition finite element methods

Vouvakis

2015

2015 International Conference on Electromagnetics in Advanced Applications (ICEAA)

View full text Add to dashboard Cite

This paper gives a birds eye view of the most recent algebraic acceleration and memory reduction techniques used in the finite element domain decomposition solution of electrodynamic boundary value problems arising in radiation, scattering and signal integrity applications. The presentation will focus on techniques that reliably deliver robust computational improvements and are resilient on plethora of realistic industrial grade models. These state-of-the-art techniques will be broadly grouped and presented into three categories: iterative solution preconditioning, low-rank randomized approximations, and direct solutions. The methodologies herein are rather general and can be adopted to other variational solutions of second order partial differential equation boundary value problems.

show abstract

Parallel implementation of the FETI-DPEM algorithm for general 3D EM simulations

Cited by 36 publications

References 21 publications

A finite-element-based domain-decomposition approach for plane wave 3D electromagnetic modeling

A finite-element-based domain-decomposition approach for plane wave 3D electromagnetic modeling

THEORETICAL FORMULATION OF A TIME-DOMAIN FINITE ELEMENT METHOD FOR NONLINEAR MAGNETIC PROBLEMS IN THREE DIMENSIONS (Invited Paper)

Recent advances on domain decomposition finite element methods

Contact Info

Product

Resources

About