Liu, Zhen-Yi; Li, Chong-Jun; Zhang, Ying; Jia, Yan-Mei; Chen, Juan Construction of a new class of quadrilateral spline elements based on the scaled boundary coordinates. (English) Zbl 07801637 Comput. Math. Appl. 156, 129-156 (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{Z.-Y. Liu} et al., Comput. Math. Appl. 156, 129--156 (2024; Zbl 07801637) Full Text: DOI
Xiao, B.; Natarajan, S.; Birk, C.; Ooi, E. H.; Song, C.; Ooi, E. T. Construction of generalized shape functions over arbitrary polytopes based on scaled boundary finite element method’s solution of Poisson’s equation. (English) Zbl 07772282 Int. J. Numer. Methods Eng. 124, No. 17, 3603-3636 (2023). MSC: 74Sxx 65Nxx 65Dxx PDFBibTeX XMLCite \textit{B. Xiao} et al., Int. J. Numer. Methods Eng. 124, No. 17, 3603--3636 (2023; Zbl 07772282) Full Text: DOI OA License
Reichel, Rainer; Klinkel, Sven A non-uniform rational B-splines enhanced finite element formulation based on the scaled boundary parameterization for the analysis of heterogeneous solids. (English) Zbl 07769150 Int. J. Numer. Methods Eng. 124, No. 9, 2068-2092 (2023). MSC: 74S22 74S05 74E05 74K25 PDFBibTeX XMLCite \textit{R. Reichel} and \textit{S. Klinkel}, Int. J. Numer. Methods Eng. 124, No. 9, 2068--2092 (2023; Zbl 07769150) Full Text: DOI OA License
Zang, Quansheng; Bordas, Stéphane P. A.; Liu, Jun; Natarajan, Sundararajan NURBS-enhanced polygonal scaled boundary finite element method for heat diffusion in anisotropic media with internal heat sources. (English) Zbl 1521.74271 Eng. Anal. Bound. Elem. 148, 279-292 (2023). MSC: 74S05 65M60 65D07 80A19 PDFBibTeX XMLCite \textit{Q. Zang} et al., Eng. Anal. Bound. Elem. 148, 279--292 (2023; Zbl 1521.74271) Full Text: DOI
Sauren, Bjorn; Klarmann, Simon; Kobbelt, Leif; Klinkel, Sven A mixed polygonal finite element formulation for nearly-incompressible finite elasticity. (English) Zbl 07644154 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115656, 24 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{B. Sauren} et al., Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115656, 24 p. (2023; Zbl 07644154) Full Text: DOI
Li, Chong-Jun; Jia, Yan-Mei; Zhang, Ying; Chen, Juan Three-dimensional spline scaled boundary finite elements with high-order completeness. (English) Zbl 07767225 Int. J. Numer. Methods Eng. 123, No. 5, 1253-1276 (2022). MSC: 74S05 74S22 74K10 74K20 PDFBibTeX XMLCite \textit{C.-J. Li} et al., Int. J. Numer. Methods Eng. 123, No. 5, 1253--1276 (2022; Zbl 07767225) Full Text: DOI
Chasapi, Margarita; Mester, Leonie; Simeon, Bernd; Klinkel, Sven Isogeometric analysis of 3D solids in boundary representation for problems in nonlinear solid mechanics and structural dynamics. (English) Zbl 07767224 Int. J. Numer. Methods Eng. 123, No. 5, 1228-1252 (2022); erratum ibid. 123, No. 22, 5695 (2022). MSC: 74S22 74K99 74E30 PDFBibTeX XMLCite \textit{M. Chasapi} et al., Int. J. Numer. Methods Eng. 123, No. 5, 1228--1252 (2022; Zbl 07767224) Full Text: DOI OA License
Zhang, Junqi; Zhao, Mi; Eisenträger, Sascha; Du, Xiuli; Song, Chongmin An asynchronous parallel explicit solver based on scaled boundary finite element method using octree meshes. (English) Zbl 1507.74525 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115653, 29 p. (2022). MSC: 74S05 65N30 74H15 PDFBibTeX XMLCite \textit{J. Zhang} et al., Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115653, 29 p. (2022; Zbl 1507.74525) Full Text: DOI
Abedi-Shahri, Seyed Sadjad; Ghalichi, Farzan; Oskui, Iman Zoljanahi A scaled boundary finite element formulation for solving plane-strain viscoelastic problems. (English) Zbl 1497.74075 Eur. J. Mech., A, Solids 96, Article ID 104755, 10 p. (2022). MSC: 74S15 74S05 74D05 PDFBibTeX XMLCite \textit{S. S. Abedi-Shahri} et al., Eur. J. Mech., A, Solids 96, Article ID 104755, 10 p. (2022; Zbl 1497.74075) Full Text: DOI
Wang, Chongshuai; Long, Xiangyun; He, Yiqian; Yang, Haitian; Han, Xu An adaptive recursive SBFE algorithm for the statistical analysis of stochastic viscoelastic problems. (English) Zbl 1507.74560 Comput. Methods Appl. Mech. Eng. 395, Article ID 114878, 30 p. (2022). MSC: 74S60 PDFBibTeX XMLCite \textit{C. Wang} et al., Comput. Methods Appl. Mech. Eng. 395, Article ID 114878, 30 p. (2022; Zbl 1507.74560) Full Text: DOI
Zhang, Ying; Li, Chong-Jun; Jia, Yan-Mei; Liu, Zhen-Yi; Chen, Juan Revised SBFEM on arbitrary polygons and faceted polyhedrons with the second order completeness by elimination of bubble functions. (English) Zbl 1524.74453 Comput. Math. Appl. 109, 74-99 (2022). MSC: 74S05 74S15 65N30 65N38 65N50 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Comput. Math. Appl. 109, 74--99 (2022; Zbl 1524.74453) Full Text: DOI
Zhang, Peng; Du, Chengbin; Zhao, Wenhu; Sun, Liguo Dynamic crack face contact and propagation simulation based on the scaled boundary finite element method. (English) Zbl 1502.74100 Comput. Methods Appl. Mech. Eng. 385, Article ID 114044, 20 p. (2021). MSC: 74R10 74S05 PDFBibTeX XMLCite \textit{P. Zhang} et al., Comput. Methods Appl. Mech. Eng. 385, Article ID 114044, 20 p. (2021; Zbl 1502.74100) Full Text: DOI
Ya, Shukai; Eisenträger, Sascha; Song, Chongmin; Li, Jianbo An open-source ABAQUS implementation of the scaled boundary finite element method to study interfacial problems using polyhedral meshes. (English) Zbl 1506.74473 Comput. Methods Appl. Mech. Eng. 381, Article ID 113766, 36 p. (2021). MSC: 74S15 65M38 74A50 PDFBibTeX XMLCite \textit{S. Ya} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113766, 36 p. (2021; Zbl 1506.74473) Full Text: DOI arXiv
Bertrand, Fleurianne; Boffi, Daniele; G. de Diego, Gonzalo Convergence analysis of the scaled boundary finite element method for the Laplace equation. (English) Zbl 1475.65208 Adv. Comput. Math. 47, No. 3, Paper No. 34, 17 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65N38 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{F. Bertrand} et al., Adv. Comput. Math. 47, No. 3, Paper No. 34, 17 p. (2021; Zbl 1475.65208) Full Text: DOI arXiv
Chasapi, Margarita; Klinkel, Sven Geometrically nonlinear analysis of solids using an isogeometric formulation in boundary representation. (English) Zbl 1490.74116 Comput. Mech. 65, No. 2, 355-373 (2020). MSC: 74S22 74S05 PDFBibTeX XMLCite \textit{M. Chasapi} and \textit{S. Klinkel}, Comput. Mech. 65, No. 2, 355--373 (2020; Zbl 1490.74116) Full Text: DOI
Mellati, Afshin; Tangaramvong, Sawekchai; Tin-Loi, Francis; Song, Chongmin An iterative elastic SBFE approach for collapse load analysis of inelastic structures. (English) Zbl 1481.74052 Appl. Math. Modelling 81, 320-341 (2020). MSC: 74A45 65N38 PDFBibTeX XMLCite \textit{A. Mellati} et al., Appl. Math. Modelling 81, 320--341 (2020; Zbl 1481.74052) Full Text: DOI
Gravenkamp, Hauke; Saputra, Albert A.; Eisenträger, Sascha Three-dimensional image-based modeling by combining SBFEM and transfinite element shape functions. (English) Zbl 1466.74044 Comput. Mech. 66, No. 4, 911-930 (2020). MSC: 74S05 74S15 65M50 PDFBibTeX XMLCite \textit{H. Gravenkamp} et al., Comput. Mech. 66, No. 4, 911--930 (2020; Zbl 1466.74044) Full Text: DOI
Klinkel, Sven; Chasapi, Margarita Isogeometric analysis of solids in boundary representation. (English) Zbl 1444.74054 Schröder, Jörg (ed.) et al., Novel finite element technologies for solids and structures. Papers based on the presentations at the CISM course, Udine, Italy, September 18–22, 2017. Cham: Springer. CISM Courses Lect. 597, 153-197 (2020). MSC: 74S22 74B05 65D17 65D07 PDFBibTeX XMLCite \textit{S. Klinkel} and \textit{M. Chasapi}, CISM Courses Lect. 597, 153--197 (2020; Zbl 1444.74054) Full Text: DOI
Yang, Z. J.; Yao, F.; Huang, Y. J. Development of ABAQUS UEL/VUEL subroutines for scaled boundary finite element method for general static and dynamic stress analyses. (English) Zbl 1464.74345 Eng. Anal. Bound. Elem. 114, 58-73 (2020). MSC: 74S15 65N38 74A10 PDFBibTeX XMLCite \textit{Z. J. Yang} et al., Eng. Anal. Bound. Elem. 114, 58--73 (2020; Zbl 1464.74345) Full Text: DOI
Jia, Yan-Mei; Li, Chong-Jun; Zhang, Ying; Chen, Juan The high-order completeness analysis of the scaled boundary finite element method. (English) Zbl 1439.74426 Comput. Methods Appl. Mech. Eng. 362, Article ID 112867, 34 p. (2020). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{Y.-M. Jia} et al., Comput. Methods Appl. Mech. Eng. 362, Article ID 112867, 34 p. (2020; Zbl 1439.74426) Full Text: DOI
Ho-Nguyen-Tan, Thuan; Kim, Hyun-Gyu Polygonal shell elements with assumed transverse shear and membrane strains. (English) Zbl 1441.74246 Comput. Methods Appl. Mech. Eng. 349, 595-627 (2019). MSC: 74S05 65N30 74K15 PDFBibTeX XMLCite \textit{T. Ho-Nguyen-Tan} and \textit{H.-G. Kim}, Comput. Methods Appl. Mech. Eng. 349, 595--627 (2019; Zbl 1441.74246) Full Text: DOI
Bulling, Jannis; Gravenkamp, Hauke; Birk, Carolin A high-order finite element technique with automatic treatment of stress singularities by semi-analytical enrichment. (English) Zbl 1441.74232 Comput. Methods Appl. Mech. Eng. 355, 135-156 (2019). MSC: 74S05 65N30 74G70 PDFBibTeX XMLCite \textit{J. Bulling} et al., Comput. Methods Appl. Mech. Eng. 355, 135--156 (2019; Zbl 1441.74232) Full Text: DOI
Xing, Weiwei; Zhang, Junqi; Song, Chongmin; Tin-Loi, Francis A node-to-node scheme for three-dimensional contact problems using the scaled boundary finite element method. (English) Zbl 1440.74251 Comput. Methods Appl. Mech. Eng. 347, 928-956 (2019). MSC: 74M15 74S05 65N30 PDFBibTeX XMLCite \textit{W. Xing} et al., Comput. Methods Appl. Mech. Eng. 347, 928--956 (2019; Zbl 1440.74251) Full Text: DOI
Klinkel, S.; Reichel, R. A finite element formulation in boundary representation for the analysis of nonlinear problems in solid mechanics. (English) Zbl 1440.74410 Comput. Methods Appl. Mech. Eng. 347, 295-315 (2019). MSC: 74S05 65N30 74B20 PDFBibTeX XMLCite \textit{S. Klinkel} and \textit{R. Reichel}, Comput. Methods Appl. Mech. Eng. 347, 295--315 (2019; Zbl 1440.74410) Full Text: DOI
Chen, Shenshen; Wang, Wei; Zhao, Xiushao An interpolating element-free Galerkin scaled boundary method applied to structural dynamic analysis. (English) Zbl 1481.74708 Appl. Math. Modelling 75, 494-505 (2019). MSC: 74S15 PDFBibTeX XMLCite \textit{S. Chen} et al., Appl. Math. Modelling 75, 494--505 (2019; Zbl 1481.74708) Full Text: DOI
Zou, Degao; Chen, Kai; Kong, Xianjing; Yu, Xiang An approach integrating BIM, octree and FEM-SBFEM for highly efficient modeling and seismic damage analysis of building structures. (English) Zbl 1464.74361 Eng. Anal. Bound. Elem. 104, 332-346 (2019). MSC: 74S15 65N38 74L05 86A15 PDFBibTeX XMLCite \textit{D. Zou} et al., Eng. Anal. Bound. Elem. 104, 332--346 (2019; Zbl 1464.74361) Full Text: DOI
Zou, Degao; Teng, Xiaowei; Chen, Kai; Liu, Jingmao A polyhedral scaled boundary finite element method for three-dimensional dynamic analysis of saturated porous media. (English) Zbl 1464.76068 Eng. Anal. Bound. Elem. 101, 343-359 (2019). MSC: 76M10 76M15 65N30 65N38 76S05 PDFBibTeX XMLCite \textit{D. Zou} et al., Eng. Anal. Bound. Elem. 101, 343--359 (2019; Zbl 1464.76068) Full Text: DOI
Tschöke, Kilian; Gravenkamp, Hauke On the numerical convergence and performance of different spatial discretization techniques for transient elastodynamic wave propagation problems. (English) Zbl 1524.74446 Wave Motion 82, 62-85 (2018). MSC: 74S05 65Mxx 35Q74 74J05 PDFBibTeX XMLCite \textit{K. Tschöke} and \textit{H. Gravenkamp}, Wave Motion 82, 62--85 (2018; Zbl 1524.74446) Full Text: DOI
Chasapi, M.; Klinkel, S. A scaled boundary isogeometric formulation for the elasto-plastic analysis of solids in boundary representation. (English) Zbl 1440.74078 Comput. Methods Appl. Mech. Eng. 333, 475-496 (2018). MSC: 74C05 65D07 65N30 74S05 PDFBibTeX XMLCite \textit{M. Chasapi} and \textit{S. Klinkel}, Comput. Methods Appl. Mech. Eng. 333, 475--496 (2018; Zbl 1440.74078) Full Text: DOI
Xing, Weiwei; Song, Chongmin; Tin-Loi, Francis A scaled boundary finite element based node-to-node scheme for 2D frictional contact problems. (English) Zbl 1440.74241 Comput. Methods Appl. Mech. Eng. 333, 114-146 (2018). MSC: 74M10 74M15 74S15 65N38 PDFBibTeX XMLCite \textit{W. Xing} et al., Comput. Methods Appl. Mech. Eng. 333, 114--146 (2018; Zbl 1440.74241) Full Text: DOI
Zhang, Peng; Du, Chengbin; Tian, Xinran; Jiang, Shouyan A scaled boundary finite element method for modelling crack face contact problems. (English) Zbl 1439.74233 Comput. Methods Appl. Mech. Eng. 328, 431-451 (2018). MSC: 74M15 74S15 65N38 74R10 PDFBibTeX XMLCite \textit{P. Zhang} et al., Comput. Methods Appl. Mech. Eng. 328, 431--451 (2018; Zbl 1439.74233) Full Text: DOI
Perumal, Logah A brief review on polygonal/polyhedral finite element methods. (English) Zbl 1427.65375 Math. Probl. Eng. 2018, Article ID 5792372, 22 p. (2018). MSC: 65N30 65-02 PDFBibTeX XMLCite \textit{L. Perumal}, Math. Probl. Eng. 2018, Article ID 5792372, 22 p. (2018; Zbl 1427.65375) Full Text: DOI
Liu, Jun; Li, Jianbo; Li, Peng; Lin, Gao; Xu, Tiaojian; Chen, Lifen New application of the isogeometric boundary representations methodology with SBFEM to seepage problems in complex domains. (English) Zbl 1410.76185 Comput. Fluids 174, 241-255 (2018). MSC: 76M10 65N30 65D07 76S05 PDFBibTeX XMLCite \textit{J. Liu} et al., Comput. Fluids 174, 241--255 (2018; Zbl 1410.76185) Full Text: DOI
Zou, Degao; Teng, Xiaowei; Chen, Kai; Yu, Xiang An extended polygon scaled boundary finite element method for the nonlinear dynamic analysis of saturated soil. (English) Zbl 1403.74274 Eng. Anal. Bound. Elem. 91, 150-161 (2018). MSC: 74S15 65N38 74L10 PDFBibTeX XMLCite \textit{D. Zou} et al., Eng. Anal. Bound. Elem. 91, 150--161 (2018; Zbl 1403.74274) Full Text: DOI
Liu, Yan; Saputra, Albert A.; Wang, Junchao; Tin-Loi, Francis; Song, Chongmin Automatic polyhedral mesh generation and scaled boundary finite element analysis of STL models. (English) Zbl 1439.74444 Comput. Methods Appl. Mech. Eng. 313, 106-132 (2017). MSC: 74S05 65N30 65N50 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Methods Appl. Mech. Eng. 313, 106--132 (2017; Zbl 1439.74444) Full Text: DOI
Li, Peng; Liu, Jun; Lin, Gao; Zhang, Pengchong; Xu, Bin A combination of isogeometric technique and scaled boundary method for the solution of the steady-state heat transfer problems in arbitrary plane domain with Robin boundary. (English) Zbl 1403.80021 Eng. Anal. Bound. Elem. 82, 43-56 (2017). MSC: 80M15 65N38 65D07 80A20 PDFBibTeX XMLCite \textit{P. Li} et al., Eng. Anal. Bound. Elem. 82, 43--56 (2017; Zbl 1403.80021) Full Text: DOI
Li, Jianghuai; Shi, Zhiyu; Ning, Shaowu A two-dimensional consistent approach for static and dynamic analyses of uniform beams. (English) Zbl 1403.74188 Eng. Anal. Bound. Elem. 82, 1-16 (2017). MSC: 74S15 65N38 74K10 PDFBibTeX XMLCite \textit{J. Li} et al., Eng. Anal. Bound. Elem. 82, 1--16 (2017; Zbl 1403.74188) Full Text: DOI
Ooi, Ean Tat; Song, C.; Natarajan, S. A scaled boundary finite element formulation with bubble functions for elasto-static analyses of functionally graded materials. (English) Zbl 1398.74384 Comput. Mech. 60, No. 6, 943-967 (2017). MSC: 74S05 74S30 65N30 74S15 74E05 PDFBibTeX XMLCite \textit{E. T. Ooi} et al., Comput. Mech. 60, No. 6, 943--967 (2017; Zbl 1398.74384) Full Text: DOI Link
Long, X. Y.; Jiang, C.; Yang, C.; Han, X.; Gao, W.; Liu, J. A stochastic scaled boundary finite element method. (English) Zbl 1439.74445 Comput. Methods Appl. Mech. Eng. 308, 23-46 (2016). MSC: 74S05 74S15 74S60 65N38 65N75 65N30 PDFBibTeX XMLCite \textit{X. Y. Long} et al., Comput. Methods Appl. Mech. Eng. 308, 23--46 (2016; Zbl 1439.74445) Full Text: DOI
Chen, L.; Simeon, B.; Klinkel, S. A NURBS based Galerkin approach for the analysis of solids in boundary representation. (English) Zbl 1425.74456 Comput. Methods Appl. Mech. Eng. 305, 777-805 (2016). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Methods Appl. Mech. Eng. 305, 777--805 (2016; Zbl 1425.74456) Full Text: DOI
Chen, L.; Dornisch, W.; Klinkel, S. Hybrid collocation-Galerkin approach for the analysis of surface represented 3D-solids employing SB-FEM. (English) Zbl 1423.74869 Comput. Methods Appl. Mech. Eng. 295, 268-289 (2015). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Methods Appl. Mech. Eng. 295, 268--289 (2015; Zbl 1423.74869) Full Text: DOI
Gravenkamp, Hauke; Birk, Carolin; Song, Chongmin Simulation of elastic guided waves interacting with defects in arbitrarily long structures using the scaled boundary finite element method. (English) Zbl 1349.74352 J. Comput. Phys. 295, 438-455 (2015). MSC: 74S15 74S05 74J20 65N38 PDFBibTeX XMLCite \textit{H. Gravenkamp} et al., J. Comput. Phys. 295, 438--455 (2015; Zbl 1349.74352) Full Text: DOI
Long, X. Y.; Jiang, C.; Han, X.; Gao, W.; Bi, R. G. Sensitivity analysis of the scaled boundary finite element method for elastostatics. (English) Zbl 1415.74046 Comput. Methods Appl. Mech. Eng. 276, 212-232 (2014). MSC: 74S05 74G70 74A45 PDFBibTeX XMLCite \textit{X. Y. Long} et al., Comput. Methods Appl. Mech. Eng. 276, 212--232 (2014; Zbl 1415.74046) Full Text: DOI
Behnke, R.; Mundil, M.; Birk, C.; Kaliske, M. A physically and geometrically nonlinear scaled-boundary-based finite element formulation for fracture in elastomers. (English) Zbl 1352.74278 Int. J. Numer. Methods Eng. 99, No. 13, 966-999 (2014). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{R. Behnke} et al., Int. J. Numer. Methods Eng. 99, No. 13, 966--999 (2014; Zbl 1352.74278) Full Text: DOI
Chiong, Irene; Ooi, Ean Tat; Song, Chongmin; Tin-Loi, Francis Scaled boundary polygons with application to fracture analysis of functionally graded materials. (English) Zbl 1352.74020 Int. J. Numer. Methods Eng. 98, No. 8, 562-589 (2014). MSC: 74A45 74S05 65N30 PDFBibTeX XMLCite \textit{I. Chiong} et al., Int. J. Numer. Methods Eng. 98, No. 8, 562--589 (2014; Zbl 1352.74020) Full Text: DOI