Book ChapterDOI
Boundary‐Element Method
Alain J. Kassab,Luiz C. Wrobel,Ryszard A. Białecki,Eduardo Divo +3 more
- pp 125-165
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The article was published on 2009-01-21. It has received 586 citations till now. The article focuses on the topics: Boundary knot method & Singular boundary method.read more
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Optical tomography: forward and inverse problems
TL;DR: A review of recent mathematical and computational advances in optical tomography can be found in this paper, where the physical foundations of forward models for light propagation on microscopic, mesoscopic and macroscopic scales are discussed.
Journal ArticleDOI
Six boundary elements per wavelength: is that enough?
TL;DR: The commonly applied rule of using six (linear) elements per wavelength in linear time-harmonic acoustics is discussed in this article, and a survey of related work is collected.
Journal ArticleDOI
The finite element model for the propagation of light in scattering media: A direct method for domains with nonscattering regions
TL;DR: An improved implementation using a finite element method (FEM) that is direct to introduce extra equations into the standard diffusion FEM to represent nondiffusive light propagation across a nonscattering region.
Journal ArticleDOI
Recent Advances and Emerging Applications of the Boundary Element Method
Yijun Liu,Subrata Mukherjee,Naoshi Nishimura,Martin Schanz,Wenjing Ye,Alok Sutradhar,Ernian Pan,Ney Augusto Dumont,Attilio Frangi,Andrés Sáez +9 more
TL;DR: The paper aims to review the major research achievements in the last decade, the current status, and the future directions of the BEM in the next decade.
Reference EntryDOI
Time‐Dependent Problems with the Boundary Integral Equation Method
TL;DR: The mathematical principles governing the construction of boundary integral equation methods for time-dependent problems are presented in this paper, where the main advantages of the reduction to the boundary prevail: reduction of the dimension by one, and reduction of an unbounded exterior domain to a bounded boundary.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book
The Boundary Element Method for Engineers
TL;DR: This research attacked the mode confusion problem by developing a modeling framework to estimate the number of neurons in the response of the immune system to earthquake-related injuries.
Book
Boundary Element Techniques: Theory and Applications in Engineering
TL;DR: In this article, the authors propose a method of approximate boundary refinement based on the theory of elasticity, and apply it to two-dimensional problems with different types of boundary conditions.
Journal ArticleDOI
Boundary Elements: An Introductory Course
TL;DR: Boundary concepts are introduced and immediately applied in simple - but useful - computer codes that facilitate the comprehension of boundary elements.