The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems

B Yu, P Hu, AA Saputra, Y Gu - Applied Mathematical Modelling, 2021 - Elsevier
In this paper, a hybrid quadtree mesh is utilized to solve two-dimensional transient heat
conduction problems with cracks or inclusions. The current approach developed based on …

Isogeometric dual reciprocity boundary element method for solving transient heat conduction problems with heat sources

B Yu, G Cao, W Huo, H Zhou… - Journal of Computational …, 2021 - Elsevier
Up to now, the isogeometric boundary element method (IGBEM) has been widely applied in
different fields, and the solved problems are basically independent of time. But an excellent …

[HTML][HTML] The interpolating element-free Galerkin method for three-dimensional transient heat conduction problems

D Liu, YM Cheng - Results in Physics, 2020 - Elsevier
In this study, the interpolating element-free Galerkin (IEFG) method for solving three-
dimensional (3D) transient heat conduction problem is presented. By using the improved …

Three-dimensional transient heat conduction problems in FGMs via IG-DRBEM

B Yu, G Cao, Z Meng, Y Gong, C Dong - Computer Methods in Applied …, 2021 - Elsevier
In this paper, the isogeometric dual reciprocity boundary element method (IG-DRBEM) is
firstly applied to solve three-dimensional (3D) transient heat conduction problems in …

The dimension splitting element-free Galerkin method for 3D transient heat conduction problems

ZJ Meng, H Cheng, LD Ma, YM Cheng - Science China Physics …, 2019 - Springer
By transforming a 3D problem into some related 2D problems, the dimension splitting
element-free Galerkin (DSEFG) method is proposed to solve 3D transient heat conduction …

The dual reciprocity boundary element method for one-dimensional nonlinear parabolic partial differential equations

P Alipour - Journal of Mathematical Sciences, 2024 - Springer
This article describes a numerical method based on the dual reciprocity boundary element
method (DRBEM) for solving some well-known nonlinear parabolic partial differential …

A fast reduced-order model for radial integral boundary element method based on proper orthogonal decomposition in nonlinear transient heat conduction problems

G Jiang, H Liu, K Yang, X Gao - Computer Methods in Applied Mechanics …, 2020 - Elsevier
In order to efficiently solve nonlinear transient heat conduction problem, a method
combining the radial integration boundary element method (RIBEM) and the proper …

Analyzing three-dimensional transient heat conduction problems with the dimension splitting reproducing kernel particle method

PP Peng, YM Cheng - Engineering Analysis with Boundary Elements, 2020 - Elsevier
In this paper, to improve the computational speed of the reproducing kernel particle method
(RKPM), the dimension splitting reproducing kernel particle method (DSRKPM) is presented …

An adaptive recursive SBFE algorithm for the statistical analysis of stochastic viscoelastic problems

C Wang, X Long, Y He, H Yang, X Han - Computer Methods in Applied …, 2022 - Elsevier
Integrating the advantages of Taylor series expansion and TPAA-SBFEM (temporally
adaptive recursive algorithm-scaled boundary finite element method), two efficient …

IG-DRBEM of three-dimensional transient heat conduction problems

B Yu, G Cao, Y Gong, S Ren, C Dong - Engineering Analysis with …, 2021 - Elsevier
In this paper, the isogeometric dual reciprocity boundary element method (IG-DRBEM) is
proposed to solve three-dimensional transient heat conduction problems. It is well known …