Sun, Xianbo; Zhang, Yahui Adaptive stochastic isogeometric analysis for nonlinear bending of thin functionally graded shells with material uncertainties. (English) Zbl 1536.74302 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116407, 20 p. (2023). MSC: 74S22 74K25 × Cite Format Result Cite Review PDF Full Text: DOI
Barbarino, Mattia; Bianco, Davide A BEM-FMM approach applied to the combined convected Helmholtz integral formulation for the solution of aeroacoustic problems. (English) Zbl 1440.76048 Comput. Methods Appl. Mech. Eng. 342, 585-603 (2018). MSC: 76M10 65N38 76Q05 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Shilei; Bauchau, Olivier A. On the global interpolation of motion. (English) Zbl 1440.70008 Comput. Methods Appl. Mech. Eng. 337, 352-386 (2018). MSC: 70Exx 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Versino, Daniele; Bronkhorst, Curt A. A computationally efficient ductile damage model accounting for nucleation and micro-inertia at high triaxialities. (English) Zbl 1440.74039 Comput. Methods Appl. Mech. Eng. 333, 395-420 (2018). MSC: 74A45 65N30 74S05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Jaśkowiec, Jan Application of discontinuous Galerkin method to mechanical 2D problem with arbitrary polygonal and very high-order finite elements. (English) Zbl 1439.74425 Comput. Methods Appl. Mech. Eng. 323, 389-415 (2017). MSC: 74S05 65N30 74A10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Yin, Shengwen; Yu, Dejie; Yin, Hui; Xia, Baizhan A new evidence-theory-based method for response analysis of acoustic system with epistemic uncertainty by using Jacobi expansion. (English) Zbl 1439.76148 Comput. Methods Appl. Mech. Eng. 322, 419-440 (2017). MSC: 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Jinglai; Luo, Zhen; Li, Hao; Zhang, Nong Level-set topology optimization for mechanical metamaterials under hybrid uncertainties. (English) Zbl 1439.74302 Comput. Methods Appl. Mech. Eng. 319, 414-441 (2017). MSC: 74P15 × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Jinyou; Meng, Shuangshuang; Zhang, Chuanzeng; Zheng, Changjun Resolvent sampling based Rayleigh-Ritz method for large-scale nonlinear eigenvalue problems. (English) Zbl 1439.65141 Comput. Methods Appl. Mech. Eng. 310, 33-57 (2016). MSC: 65N25 65H17 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kulikov, G. M.; Plotnikova, S. V. Hybrid-mixed ANS finite elements for stress analysis of laminated composite structures: sampling surfaces plate formulation. (English) Zbl 1425.74479 Comput. Methods Appl. Mech. Eng. 303, 374-399 (2016). MSC: 74S05 65N30 74E30 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
May, D. A.; Brown, J.; Le Pourhiet, L. A scalable, matrix-free multigrid preconditioner for finite element discretizations of heterogeneous Stokes flow. (English) Zbl 1423.76259 Comput. Methods Appl. Mech. Eng. 290, 496-523 (2015). MSC: 76M10 65N30 65F08 65N22 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Paredes, Pedro; Hermanns, Miguel; Le Clainche, Soledad; Theofilis, Vassilis Order \(10^4\) speedup in global linear instability analysis using matrix formation. (English) Zbl 1297.76125 Comput. Methods Appl. Mech. Eng. 253, 287-304 (2013). MSC: 76M20 65M06 76Exx × Cite Format Result Cite Review PDF Full Text: DOI
Khodakarami, M. I.; Khaji, N.; Ahmadi, M. T. Modeling transient elastodynamic problems using a novel semi-analytical method yielding decoupled partial differential equations. (English) Zbl 1243.74047 Comput. Methods Appl. Mech. Eng. 213-216, 183-195 (2012). MSC: 74H10 74B05 74H15 65N99 × Cite Format Result Cite Review PDF Full Text: DOI
Husain, S. Z.; Floryan, J. M.; Szumbarski, J. Over-determined formulation of the immersed boundary conditions method. (English) Zbl 1231.76207 Comput. Methods Appl. Mech. Eng. 199, No. 1-4, 94-112 (2009). MSC: 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Husain, S. Z.; Floryan, J. M. Gridless spectral algorithm for Stokes flow with moving boundaries. (English) Zbl 1194.76190 Comput. Methods Appl. Mech. Eng. 198, No. 2, 245-259 (2008). MSC: 76M22 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Jie; Wang, Li-Lian Legendre and Chebyshev dual-Petrov-Galerkin methods for hyperbolic equations. (English) Zbl 1173.65342 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3785-3797 (2007). MSC: 65M70 35L50 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Lingyan; Ng, Chiu-On; Chwang, Allen T. A Fourier-Chebyshev collocation method for the mass transport in a layer of power-law fluid mud. (English) Zbl 1176.76091 Comput. Methods Appl. Mech. Eng. 195, No. 9-12, 1136-1153 (2006). MSC: 76M22 76A05 80A20 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Kirby, R. M.; Yosibash, Z. Solution of von Kármán dynamic nonlinear plate equations using a pseudo-spectral method. (English) Zbl 1060.74660 Comput. Methods Appl. Mech. Eng. 193, No. 6-8, 575-599 (2004). MSC: 74S25 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, D.; Cheung, Y. K.; Lo, S. H.; Au, F. T. K. 3D vibration analysis of solid and hollow circular cylinders via Chebyshev-Ritz method. (English) Zbl 1050.74024 Comput. Methods Appl. Mech. Eng. 192, No. 13-14, 1575-1589 (2003). MSC: 74H45 74H15 74S30 × Cite Format Result Cite Review PDF Full Text: DOI
Shirron, Joseph J.; Dey, Saikat Acoustic infinite elements for non-separable geometries. (English) Zbl 1039.76036 Comput. Methods Appl. Mech. Eng. 191, No. 37-38, 4123-4139 (2002). MSC: 76M10 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Fung, T. C. Stability and accuracy of differential quadrature method in solving dynamic problems. (English) Zbl 0993.65086 Comput. Methods Appl. Mech. Eng. 191, No. 13-14, 1311-1331 (2002). MSC: 65L20 65L05 34A34 65L50 × Cite Format Result Cite Review PDF Full Text: DOI
Chaidron, G.; Chinesta, F. On the steady solution of nonlinear advection equations in steady recirculating flows. (English) Zbl 0997.76008 Comput. Methods Appl. Mech. Eng. 191, No. 11-12, 1159-1172 (2002). MSC: 76A10 76M22 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Y. Z.; Lee, Kang Yong Numerical solution of three-dimensional crack problem by using hypersingular integral equation. (English) Zbl 1029.74050 Comput. Methods Appl. Mech. Eng. 190, No. 31, 4019-4026 (2001). MSC: 74S15 74R10 74G70 × Cite Format Result Cite Review PDF Full Text: DOI
Dauksher, W.; Emery, A. F. The solution of elastostatic and elastodynamic problems with Chebyshev spectral finite elements. (English) Zbl 0963.74059 Comput. Methods Appl. Mech. Eng. 188, No. 1-3, 217-233 (2000). MSC: 74S05 74S25 74H15 74G15 × Cite Format Result Cite Review PDF Full Text: DOI
Boyd, John P.; Flyer, Natasha Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods. (English) Zbl 0932.65109 Comput. Methods Appl. Mech. Eng. 175, No. 3-4, 281-309 (1999). Reviewer: W.Heinrichs (Essen) MSC: 65M70 65M12 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Karageorghis, A.; Sivaloganathan, S. Conforming spectral approximations for non-conforming domain decompositions. (English) Zbl 0943.65149 Comput. Methods Appl. Mech. Eng. 156, No. 1-4, 299-308 (1998). MSC: 65N55 65N35 35J25 35J40 × Cite Format Result Cite Review PDF Full Text: DOI
Denda, Mitsunori; Dong, Y. F. Complex variable approach to the BEM for multiple crack problems. (English) Zbl 0898.73069 Comput. Methods Appl. Mech. Eng. 141, No. 3-4, 247-264 (1997). MSC: 74S15 74S30 74R99 × Cite Format Result Cite Review PDF Full Text: DOI
Carcione, José M. A 2D Chebyshev differential operator for the elastic wave equation. (English) Zbl 0860.73077 Comput. Methods Appl. Mech. Eng. 130, No. 1-2, 33-45 (1996). MSC: 74S30 74J10 × Cite Format Result Cite Review PDF Full Text: DOI
Kuria, Isaac M.; Raad, Peter E. An implicit multidomain spectral collocation method for stiff highly nonlinear fluid dynamics problems. (English) Zbl 0851.76066 Comput. Methods Appl. Mech. Eng. 120, No. 1-2, 163-182 (1995). MSC: 76M25 76D08 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Henry H.; Shizgal, Bernie Chebyshev pseudospectral multi-domain technique for viscous flow calculation. (English) Zbl 0848.76071 Comput. Methods Appl. Mech. Eng. 118, No. 1-2, 47-61 (1994). MSC: 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Pinelli, Alfredo; Benocci, Carlo; Deville, Michel A Chebyshev collocation algorithm for the solution of advection-diffusion equations. (English) Zbl 0824.76069 Comput. Methods Appl. Mech. Eng. 116, 201-210 (1994). MSC: 76M25 76R99 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Deville, M. O.; Mund, E. H.; Van Kemenade, V. Preconditioned Chebyshev collocation methods and triangular finite elements. (English) Zbl 0925.76404 Comput. Methods Appl. Mech. Eng. 116, 193-200 (1994). MSC: 76M25 76M10 76D05 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Ould Kaber, Sidi Mahmoud Filtering non-periodic functions. (English) Zbl 0823.65016 Comput. Methods Appl. Mech. Eng. 116, 123-130 (1994). Reviewer: A.Bultheel (Leuven) MSC: 65D15 41A10 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Giannakouros, John G.; Sidilkover, David; Karniadakis, George Em Spectral element-FCT method for the one- and two-dimensional compressible Euler equations. (English) Zbl 0826.76062 Comput. Methods Appl. Mech. Eng. 116, 113-121 (1994). MSC: 76M25 76N10 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Schneidesch, C. R.; Deville, M. O. Multidomain decomposition of curved geometries in the Chebyshev collocation method for thermal problems. (English) Zbl 0826.76073 Comput. Methods Appl. Mech. Eng. 116, 87-94 (1994). MSC: 76M25 76R10 65N35 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Godon, Patrick; Shaviv, Giora A two-dimensional time dependent Chebyshev method of collocation for the study of astrophysical flows. (English) Zbl 0844.76072 Comput. Methods Appl. Mech. Eng. 110, No. 1-2, 171-194 (1993). MSC: 76M25 76N10 85A30 × Cite Format Result Cite Review PDF Full Text: DOI
Gambolati, Giuseppe; Sartoretto, Flavio; Florian, Paolo An orthogonal accelerated deflation technique for large symmetric eigenproblems. (English) Zbl 0754.65039 Comput. Methods Appl. Mech. Eng. 94, No. 1, 13-23 (1992). Reviewer: A.Ruhe (Göteborg) MSC: 65F15 65F50 65F35 × Cite Format Result Cite Review PDF Full Text: DOI
Iranzo, V.; Falqués, A. Some spectral approximations for differential equations in unbounded domains. (English) Zbl 0762.76081 Comput. Methods Appl. Mech. Eng. 98, No. 1, 105-126 (1992). MSC: 76M25 76B15 65L60 86A10 × Cite Format Result Cite Review PDF Full Text: DOI
Dewynne, J. N.; Hills, D. A.; Nowell, D. Calculation of the opening displacement of surface-breaking plane cracks. (English) Zbl 0764.73098 Comput. Methods Appl. Mech. Eng. 97, No. 3, 321-331 (1992). MSC: 74S30 74R99 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Karageorghis, Andreas The numerical solution of laminar flow in a re-entrant tube geometry by a Chebyshev spectral element collocation method. (English) Zbl 0825.76607 Comput. Methods Appl. Mech. Eng. 100, No. 3, 339-358 (1992). MSC: 76M25 76D05 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Dhanish, P. B.; Shunmugam, M. S. An algorithm for form error evaluation - using the theory of discrete and linear Chebyshev approximation. (English) Zbl 0810.65015 Comput. Methods Appl. Mech. Eng. 92, No. 3, 309-324 (1991). Reviewer: H.Mühlig (Dresden) MSC: 65D17 41A50 68U07 × Cite Format Result Cite Review PDF Full Text: DOI
Bressan, Nicoletta; Pavoni, Donatella Truncation versus mapping in the spectral approximation to the Korteweg- de Vries equation. (English) Zbl 0733.65080 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 443-450 (1990). Reviewer: V.Subba Rao (Madras) MSC: 65Z05 65M06 65M70 35Q51 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Gastaldi, F.; Quateroni, A.; Landriani, Sacchi G. Coupling of two-dimensional hyperbolic and elliptic equations. (English) Zbl 0727.65091 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 347-354 (1990). Reviewer: P.Y.Yalamov (Russe) MSC: 65N35 35M20 × Cite Format Result Cite Review PDF Full Text: DOI
Francken, P.; Deville, M. O.; Mund, E. H. On the spectrum of the iteration operator associated to the finite element preconditioning of Chebyshev collocation calculations. (English) Zbl 0727.65089 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 295-304 (1990). Reviewer: P.Y.Yalamov (Russe) MSC: 65N35 65F10 15A42 65F15 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Pelz, Richard B. Pseudospectral methods on massively parallel computers. (English) Zbl 0723.76071 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 493-503 (1990). MSC: 76M25 65Y05 76D07 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Chaouche, A.; Randriamampianina, A.; Bontoux, P. A collocation method based on the influence matrix technique for Navier- Stokes problems in annular domains. (English) Zbl 0722.76061 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 237-244 (1990). MSC: 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Jie Numerical simulation of the regularized driven cavity flows at high Reynolds numbers. (English) Zbl 0722.76060 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 273-280 (1990). MSC: 76M25 76R05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Wasberg, Carl Erik; Andreassen, Øyvind Pseudospectral methods with open boundary conditions for the study of atmospheric wave phenomena. (English) Zbl 0722.76058 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 459-465 (1990). MSC: 76M25 76B60 86A10 × Cite Format Result Cite Review PDF Full Text: DOI
Farcy, A.; Alziary de Roquefort, T. Pseudospectral multi-domain method for incompressible viscous flow computation. (English) Zbl 0722.76051 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 337-346 (1990). MSC: 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Le Quéré, P.; Pécheux, J. A three-dimensional pseudo-spectral algorithm for the computaion of convection in a rotating annulus. (English) Zbl 0722.76050 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 261-271 (1990). MSC: 76M25 76D05 76U05 × Cite Format Result Cite Review PDF Full Text: DOI
Don, Wai-Sun; Gottlieb, David Spectral simulations of an unsteady compressible flow past a circular cylinder. (English) Zbl 0722.76047 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 39-58 (1990). MSC: 76M25 76N10 × Cite Format Result Cite Review PDF Full Text: DOI
Peyret, Roger The Chebyshev multidomain approach to stiff problems in fluid mechanics. (English) Zbl 0722.76046 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 129-145 (1990). MSC: 76M25 76R99 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Deville, M. O. Chebyshev collocation solutions of flow problems. (English) Zbl 0722.76045 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 27-37 (1990). MSC: 76M25 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Chiu, W. K.; Norton, M. P. Application of a collocation method to unsteady flow problems. (English) Zbl 0716.76057 Comput. Methods Appl. Mech. Eng. 83, No. 3, 231-245 (1990). MSC: 76M25 76F99 × Cite Format Result Cite Review PDF Full Text: DOI
Guillard, H.; Désidéri, J.-A. Iterative methods with spectral preconditioning for elliptic equations. (English) Zbl 0742.65076 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 305-312 (1990). Reviewer: O.Widlund (New York) MSC: 65N35 65F10 65F35 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Reddy, Satish C.; Trefethen, Lloyd N. Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues. (English) Zbl 0735.65070 Comput. Methods Appl. Mech. Eng. 80, No. 1-3, 147-164 (1990). Reviewer: V.Subba Rao MSC: 65M70 65M20 65M12 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Karageorghis, Andreas Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer. (English) Zbl 0636.65083 Comput. Methods Appl. Mech. Eng. 70, No. 1, 103-121 (1988). Reviewer: A.Karageorghis MSC: 65L10 34B15 34L99 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Anastasselou, E. G.; Ioakimidis, N. I. On the location of straight discontinuity intervals of arbitrary sectionally analytic functions by using complex path-independent integrals. (English) Zbl 0615.65034 Comput. Methods Appl. Mech. Eng. 65, 165-176 (1987). MSC: 65E05 65D32 30C15 74R05 76B10 × Cite Format Result Cite Review PDF Full Text: DOI
Bellet, D.; Vinatier, M. C. Numerical spectral method for flows through anevrisms. (English) Zbl 0607.76031 Comput. Methods Appl. Mech. Eng. 63, 167-182 (1987). MSC: 76D99 76Z05 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Battarra, Viliam; Canuto, Claudio; Quarteroni, Alfio A Chebyshev spectral method for gas transients in pipelines. (English) Zbl 0542.76092 Comput. Methods Appl. Mech. Eng. 48, 329-352 (1985). MSC: 76N15 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Ioakimidis, N. I. A modification of the quadrature method for the direct numerical solution of singular integral equations. (English) Zbl 0544.65096 Comput. Methods Appl. Mech. Eng. 46, 1-13 (1984). MSC: 65R20 45E05 74R05 × Cite Format Result Cite Review PDF Full Text: DOI
Lipitakis, Elias A.; Evans, David J. Solving linear finite element systems by normalized approximate matrix factorization semi-direct methods. (English) Zbl 0522.65068 Comput. Methods Appl. Mech. Eng. 43, 1-19 (1984). MSC: 65N30 65N22 65F05 15A23 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Ioakimidis, N. I. A natural quadrature formula for the numerical evaluation of the MacGregor-Westergaard complex potentials in crack problems. (English) Zbl 0478.73089 Comput. Methods Appl. Mech. Eng. 31, 221-231 (1982). MSC: 74R05 45E05 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Evans, D. J.; Murphy, C. P. The solution of the biharmonic equation in a rectangular region by Chebyshev series. (English) Zbl 0472.65085 Comput. Methods Appl. Mech. Eng. 27, 81-99 (1981). MSC: 65N35 65E05 31A20 35J40 × Cite Format Result Cite Review PDF Full Text: DOI