Results 1 to 10 of about 23,409 (291)

Stochastic Boundary-Domain Integral Method for heat transfer simulations

2019 4th International Conference on Smart and Sustainable Technologies (SpliTech), 2019
In this paper we couple a numerical method aimed at simulation of flow and heat transfer of nanofluids with stochastic modelling of input and material parameters. A fast Boundary- Domain Integral Method has been developed to solve the governing equations and set up the deterministic flow and heat transfer solver. Furthermore, the Stochastic Collocation
Ravnik, Jure, Šušnjara, Anna, Tibaut, Jan, Poljak, Dragan, Cvetković, Mario   +4 more
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Preconditioned conjugate gradient methods for boundary-domain integral method

Engineering Analysis with Boundary Elements, 1993
Abstract The paper deals with the iterative solution of systems of linear equations arising in viscous flow computation by the boundary-domain integral method (BDIM) with the subdomain technique. Three versions of conjugate gradient method — the bi-conjugate gradient method (bi-CG), conjugate gradients squared (CGS) and its variant bi-CGSTAB - are ...
Matjaž Hriberšek, Polde Škerget, Herbert Mang   +2 more
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On boundary discretization and integration in frequency-domain boundary element method

Structural Engineering and Mechanics, 1998
The computation size and accuracy in the boundary element method are mutually coupled and strongly influenced by the formulations in boundary discretization and integration. This aspect is studied numerically for two-dimensional elastodynamic problems in the frequency-domain. The localized nature of error is observed in the computed results. A boundary
Tia Ming Fu, Toyoaki Nogami
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A boundary integral method for parabolic equations in non‐smooth domains

Communications on Pure and Applied Mathematics, 1994
We treat the heat equation in a Lipschitz cylinder and device a Galerkin method for solving the integral equations associated with parabolic partial differential equations in nonsmooth domains. The main results state that the approximate solutions, obtained by using the Galerkin method, converge to the exact solutions as long as the mesh sizes balance ...
Adolfsson, V., Jawerth, B., Torres, R.
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A stable computation on local boundary-domain integral method for elliptic PDEs

Mathematics and Computers in Simulation, 2021
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Luciano Ponzellini Marinelli, Nahuel D. Caruso, M. Portapila   +2 more
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On the alternating method and boundary-domain integrals for elliptic Cauchy problems

Computers & Mathematics with Applications, 2019
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Andriy Beshley, Roman Chapko, B. Tomas Johansson   +2 more
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The radial integration method for evaluation of domain integrals with boundary-only discretization

Engineering Analysis with Boundary Elements, 2002
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On a method of Atkinson for evaluating domain integrals in the boundary element method

Applied Mathematics and Computation, 1994
This paper applies a technique of \textit{K. E. Atkinson} [IMA J. Numer. Anal. 5, 319-338 (1985; Zbl 0576.65114)] to boundary integral methods for the Poisson equation. One limitation of boundary integral methods is that for inhomogeneous problems the source term produces an integral over the entire domain.
Golberg, Michael A., Chen, C. S.
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Boundary Integral Equation Methods for Lipschitz Domains

2014
For the boundary value problems of Chaps. 3 and 4 we made assumptions which are often not met in applications. Indeed, the classical integral equation methods discussed in Chap. 3 require smoothness of the boundary ∂ D. In case of the cavity problem of Chap. 4 just a homogeneous boundary condition has been treated.
Andreas Kirsch, Frank Hettlich
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Integration over simplexes for accurate domain and boundary integral evaluation in boundary element methods

Computers & Structures, 2004
The accuracy of boundary element methods is heavily dependent on the accurate determination of singular domain and boundary integrals on element domains. Many methods have been developed for accurate integral determination but none that is universally applicable across the range of boundary element applications.
Davey, K.; id_orcid 0000-0002-2212-9388, Alonso Rasgado, M. T.   +1 more
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