- Title
- Robust modelling of implicit interfaces by the scaled boundary finite element method
- Creator
- Dsouza, Shaima; Pramod, A. L. N.; Ooi, Ean Tat; Song, Chongming; Natarajan, Sundararajan
- Date
- 2021
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/175463
- Identifier
- vital:14994
- Identifier
- http://doi.org/10.1016/j.enganabound.2020.12.025
- Identifier
- ISBN:0955-7997
- Abstract
- In this paper, we propose a robust framework based on the scaled boundary finite element method to model implicit interfaces in two-dimensional differential equations in nonhomegeneous media. The salient features of the proposed work are: (a) interfaces can be implicitly defined and need not conform to the background mesh; (b) Dirichlet boundary conditions can be imposed directly along the interface; (c) does not require special numerical integration technique to compute the bilinear and the linear forms and (d) can work with an efficient local mesh refinement using hierarchical background meshes. Numerical examples involving straight interface, circular interface and moving interface problems are solved to validate the proposed technique. Further, the presented technique is compared with conforming finite element method in terms of accuracy and convergence. From the numerical studies, it is seen that the proposed framework yields solutions whose error is O(h2) in L2 norm and O(h) in the H1 semi-norm. Further the condition number increases with the mesh size similar to the FEM. © 2021 Elsevier Ltd
- Publisher
- Elsevier Ltd
- Relation
- Engineering Analysis with Boundary Elements Vol. 124, no. (2021), p. 266-286
- Rights
- All metadata describing materials held in, or linked to, the repository is freely available under a CC0 licence
- Subject
- Bi-material interfaces; Dirichlet boundary conditions on interfaces; Material inclusions; Scaled boundary finite element method; Weak discontinuity; Boundary conditions; Mesh generation; Number theory; Numerical methods; Condition numbers; Conforming finite element method; Dirichlet boundary condition; Local mesh refinement; Numerical integration techniques; Salient features; Straight interfaces; Finite element method; 0102 Applied Mathematics; 0905 Civil Engineering; 0913 Mechanical Engineering
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