Book ChapterDOI
Introduction to the Finite Element Method
Nathan Ida,João P. A. Bastos +1 more
- pp 265-342
Reads0
Chats0
TLDR
This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems and discusses the main points in the application to electromagnetic design, including formulation and implementation.Abstract:
This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems. Although we discuss the main points in the application of the finite element method to electromagnetic design, including formulation and implementation, those who seek deeper understanding of the finite element method should consult some of the works listed in the bibliography section.read more
Citations
More filters
Journal ArticleDOI
Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat
Lior Kogut,Izhak Etsion +1 more
TL;DR: An elastic-plastic finite element model for the frictionless contact of a deformable sphere pressed by a rigid flat is presented in this paper, which provides dimensionless expressions for the contact load, contact area and mean contact pressure, covering a large range of interference values from yielding inception to fully plastic regime of the spherical contact zone.
Dissertation
Krylov Projection Methods for Model Reduction
TL;DR: The cornerstone of this dissertation is a collection of theory relating Krylov projection to rational interpolation, based on which three algorithms for model reduction are proposed, which are suited for parallel or approximate computations.
Journal ArticleDOI
Isogeometric analysis: an overview and computer implementation aspects
TL;DR: An introduction to IGA applied to simple analysis problems and the related computer implementation aspects is presented, and implementation of the extended IGA which incorporates enrichment functions through the partition of unity method (PUM) is presented.
Journal ArticleDOI
Inverse problems in elasticity
TL;DR: In this paper, a review is devoted to some inverse problems arising in the context of linear elasticity, namely the identification of distributions of elastic moduli, model parameters or buried objects such as cracks.
Journal ArticleDOI
Tissue elasticity reconstruction using linear perturbation method
F. Kallel,Michel J. Bertrand +1 more
TL;DR: A new method to reconstruct the elastic modulus of soft tissue subjected to an external static compression is presented and it is shown that the method converges within a few iterations and that strain images artifacts are significantly reduced after the resolution of the inverse problem.
References
More filters
Book
Finite Element Procedures
TL;DR: The Finite Element Method as mentioned in this paper is a method for linear analysis in solid and structural mechanics, and it has been used in many applications, such as heat transfer, field problems, and Incompressible Fluid Flows.
BookDOI
Non-Linear Finite Element Analysis of Solids and Structures: de Borst/Non-Linear Finite Element Analysis of Solids and Structures
TL;DR: De Borst et al. as mentioned in this paper present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Journal ArticleDOI
Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat
Lior Kogut,Izhak Etsion +1 more
TL;DR: An elastic-plastic finite element model for the frictionless contact of a deformable sphere pressed by a rigid flat is presented in this paper, which provides dimensionless expressions for the contact load, contact area and mean contact pressure, covering a large range of interference values from yielding inception to fully plastic regime of the spherical contact zone.
Dissertation
Krylov Projection Methods for Model Reduction
TL;DR: The cornerstone of this dissertation is a collection of theory relating Krylov projection to rational interpolation, based on which three algorithms for model reduction are proposed, which are suited for parallel or approximate computations.
Journal ArticleDOI
Isogeometric analysis: an overview and computer implementation aspects
TL;DR: An introduction to IGA applied to simple analysis problems and the related computer implementation aspects is presented, and implementation of the extended IGA which incorporates enrichment functions through the partition of unity method (PUM) is presented.