Coupling of boundary integral equation and finite element methods for transmission problems in acoustics
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-0610-3
Abstract: In this paper, we propose a coupling of finite element method (FEM) and boundary integral equation (BIE) method for solving acoustic transmission problems in two dimensions. The original transmission problem is firstly reduced to a… read more here.
Keywords: acoustics; finite element; integral equation; transmission problems ... See more keywords
High-accuracy quadrature methods for solving nonlinear boundary integral equations of axisymmetric Laplace’s equation
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-018-0714-3
Abstract: In this article, we study the numerical solutions of axisymmetric Laplace’s equation with nonlinear boundary conditions. The problem could be converted into nonlinear boundary integral equations by the ring potential theory. The mechanical quadrature method… read more here.
Keywords: laplace equation; axisymmetric laplace; accuracy; boundary integral ... See more keywords
Boundary Integral Formula for Harmonic Functions on Riemann Surfaces
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DOI: 10.1007/s40315-020-00308-x
Abstract: We construct a boundary integral formula for harmonic functions on smoothly-bordered subdomains of Riemann surfaces embeddable into $${\mathbb {C}}{\mathbb {P}}^2$$ C P 2 . The formula may be considered as an analogue of the Green’s… read more here.
Keywords: harmonic functions; integral formula; formula; riemann surfaces ... See more keywords
Analysis of 2D anisotropic thermoelasticity involving constant volume heat source by directly transformed boundary integral equation
Sign Up to like & getrecommendations! Published in 2018 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2018.03.022
Abstract: Abstract For treating 2D anisotropic thermoelasticity without heat sources, a new volume-to-surface integral transformation has been reported, where no coordinate transformation is involved. In that approach, it is still inevitable to add an extra line… read more here.
Keywords: integral equation; volume; anisotropic thermoelasticity; heat ... See more keywords
Eigenstrain formulation of boundary integral equations for modeling 2D solids with fluid-filled pores
Sign Up to like & getrecommendations! Published in 2019 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2019.03.043
Abstract: Abstract By introducing Eshelby's idea of eigenstrain and equivalent inclusion into the boundary integral equations (BIE), the computational model of eigenstrain boundary integral equations and the corresponding iterative solution procedures are presented in the paper… read more here.
Keywords: integral equations; solids fluid; boundary integral; fluid filled ... See more keywords
A log-linear time algorithm for the elastodynamic boundary integral equation method
Sign Up to like & getrecommendations! Published in 2021 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2021.08.026
Abstract: We present a fast algorithm with small memory storage to compute the spatiotemporal boundary integral equation method (ST-BIEM) particularly for the elastodynamic problem. The time complexity of the spatiotemporal convolution and memory consumption to store… read more here.
Keywords: boundary integral; time; method; equation method ... See more keywords
UGUCA: A spectral-boundary-integral method for modeling fracture and friction
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DOI: 10.1016/j.softx.2021.100785
Abstract: Abstract Uguca is a C++ parallel implementation of the spectral-boundary-integral method to model the dynamic failure of interfaces between two elastic half-spaces. Due to its computational efficiency, uguca is suitable for fundamental research on dynamic… read more here.
Keywords: spectral boundary; uguca spectral; boundary integral; integral method ... See more keywords
The boundary integral formulation of Stokes flows includes slender-body theory
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2018.483
Abstract: The incompressible Stokes equations can classically be recast in a boundary integral (BI) representation, which provides a general method to solve low-Reynolds-number problems analytically and computationally. Alternatively, one can solve the Stokes equations by using… read more here.
Keywords: slender body; body theory; slender; boundary integral ... See more keywords
Solution of the elastodynamic contact problem for a cracked body using the boundary integral equation method
Sign Up to like & getrecommendations! Published in 2019 at "Mechanics of Advanced Materials and Structures"
DOI: 10.1080/15376494.2018.1430279
Abstract: ABSTRACT This paper considers the mathematical formulation of the elastodynamic contact problem for a cracked body. The contact interaction of the crack edges in 2D is studied for the case of normal incidence of a… read more here.
Keywords: contact problem; problem cracked; cracked body; boundary integral ... See more keywords
A global domain/boundary integral equation method for the inverse wave source and backward wave problems
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DOI: 10.1080/17415977.2016.1172223
Abstract: A g-analytic function theory, the Cauchy–Riemann equations of g-analytic function and the g-conformal invariant for the wave equation are derived in this paper. As a consequence, there exist two global spectral relations for the wave… read more here.
Keywords: integral equation; global domain; domain boundary; wave source ... See more keywords
The boundary integral equation for curved solid/liquid interfaces propagating into a binary liquid with convection
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac463e
Abstract: The boundary integral method is developed for unsteady solid/liquid interfaces propagating into undercooled binary liquids with convection. A single integrodifferential equation for the interface function is derived using the Green function technique. In the limiting… read more here.
Keywords: boundary integral; solid liquid; liquid interfaces; equation ... See more keywords