LAUSR

About LAUSR
Donate
Contact Us

Follow us:

You are not signed in:

Sign Up!


   Articles with "fundamental solutions" as a keyword



Photo from archive.org

On Weighted Dirac Operators and Their Fundamental Solutions for Anisotropic Media

Sign Up to like & get
recommendations! Published in 2018 at "Advances in Applied Clifford Algebras"

DOI: 10.1007/s00006-018-0860-0

Abstract: The heat transfer problem in isotropic media has been studied extensively in Clifford analysis, but very little in the anisotropic case for this setting. As a first step in this way, we introduce in this… read more here.

Keywords: fundamental solutions; dirac operators; solutions anisotropic; weighted dirac ... See more keywords

Analysis of multi-crack problems by the spline fictitious boundary element method based on Erdogan fundamental solutions

Sign Up to like & get
recommendations! Published in 2018 at "Acta Mechanica"

DOI: 10.1007/s00707-018-2160-0

Abstract: The Erdogan fundamental solutions are derived from an infinite plane containing a crack. When they are used in the formulation of the boundary element method (BEM), the stress boundary conditions on the crack surface are… read more here.

Keywords: multi crack; fundamental solutions; element method; method ... See more keywords
Photo from wikipedia

Neumann problems of 2D Laplace's equation by method of fundamental solutions

Sign Up to like & get
recommendations! Published in 2017 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2017.04.004

Abstract: Abstract The method of fundamental solutions (MFS) was first used by Kupradze in 1963 [21] . Since then, there have appeared numerous reports of the MFS. Most of the existing analysis for the MFS are… read more here.

Keywords: fundamental solutions; analysis; method fundamental; problems laplace ... See more keywords
Photo by martindorsch from unsplash

Method of fundamental solutions and high order algorithm to solve nonlinear elastic problems

Sign Up to like & get
recommendations! Published in 2018 at "Engineering Analysis With Boundary Elements"

DOI: 10.1016/j.enganabound.2018.01.007

Abstract: Abstract In this work, we propose an algorithm, which combines the Method of Fundamental Solutions (MFS) and the Asymptotic Numerical Method (ANM), to solve two-dimensional nonlinear elastic problems. Thanks to the development in Taylor series,… read more here.

Keywords: elastic problems; fundamental solutions; solutions high; high order ... See more keywords
Photo from archive.org

The adaptive algorithm for the selection of sources of the method of fundamental solutions

Sign Up to like & get
recommendations! Published in 2018 at "Engineering Analysis With Boundary Elements"

DOI: 10.1016/j.enganabound.2018.07.008

Abstract: Abstract Despite all the efforts and success for finding the optimal location of the sources outside the domain for the method of fundamental solutions (MFS), this issue continues to attract the attention from researchers for… read more here.

Keywords: fundamental solutions; selection sources; algorithm selection; method fundamental ... See more keywords
Photo by videoqueenstl from unsplash

On the use of approximate fundamental solutions: Connections with the method of fundamental solutions and the method of regularized stokeslets

Sign Up to like & get
recommendations! Published in 2019 at "Engineering Analysis with Boundary Elements"

DOI: 10.1016/j.enganabound.2018.11.001

Abstract: Abstract Approximate fundamental solutions (AFS) are designed to be similar to fundamental solutions but without singularities. They have been used in the context of the Method of Fundamental Solutions and for problems of Stokes flow… read more here.

Keywords: use approximate; fundamental solutions; regularized stokeslets; method fundamental ... See more keywords
Photo by battlecreekcoffeeroasters from unsplash

A multi-level technique for the Method of Fundamental Solutions without regularization and desingularization

Sign Up to like & get
recommendations! Published in 2019 at "Engineering Analysis with Boundary Elements"

DOI: 10.1016/j.enganabound.2019.03.006

Abstract: Abstract The traditional Method of Fundamental Solutions is revisited, based on a special strategy of defining the external source points. Unlike the classical Method of Fundamental Solutions, the sources are categorized into groups; the density… read more here.

Keywords: method; fundamental solutions; method fundamental; multi level ... See more keywords
Photo by dawson2406 from unsplash

Two-dimensional elastodynamic and free vibration analysis by the method of fundamental solutions

Sign Up to like & get
recommendations! Published in 2020 at "Engineering Analysis With Boundary Elements"

DOI: 10.1016/j.enganabound.2020.04.014

Abstract: Abstract In this paper we will present a formulation for solving elastodynamic problems in 2D using the method of fundamental solutions (MFS). The governing equation for the displacement in the elastodynamic problem is expressed by… read more here.

Keywords: fundamental solutions; analysis; method fundamental; solution ... See more keywords
Photo from wikipedia

The Erdogan fundamental solution-based hybrid boundary node method for fracture problems

Sign Up to like & get
recommendations! Published in 2020 at "Engineering Analysis With Boundary Elements"

DOI: 10.1016/j.enganabound.2020.07.015

Abstract: Abstract Based on the Erdogan fundamental solutions for infinite cracked plates, a new hybrid boundary node method for linear fracture problems is proposed in this paper. The origin singular intensity factor for the Erdogan fundamental… read more here.

Keywords: intensity factor; erdogan fundamental; fundamental solutions; method ... See more keywords
Photo from wikipedia

Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems

Sign Up to like & get
recommendations! Published in 2021 at "Engineering Analysis With Boundary Elements"

DOI: 10.1016/j.enganabound.2021.01.008

Abstract: Abstract The purpose of the presented paper is to develop further the Localized Method of Fundamental Solutions (LMFS) for solving two-dimensional anisotropic elasticity problems. The computational domain is divided into overlapping subdomains. In the LMFS,… read more here.

Keywords: localized method; anisotropic elasticity; dimensional anisotropic; fundamental solutions ... See more keywords
Photo from wikipedia

The method of fundamental solutions for the Stokes flow with the subdomain technique

Sign Up to like & get
recommendations! Published in 2021 at "Engineering Analysis with Boundary Elements"

DOI: 10.1016/j.enganabound.2021.03.020

Abstract: Abstract The collocation version of the Method of Fundamental Solutions (MFS) with subdomains is introduced in the present work for the solution of the 2D Stokes flow in backward-facing-step geometry, including Dirichlet and Neumann boundary… read more here.

Keywords: subdomain technique; fundamental solutions; method fundamental; technique ... See more keywords