Frachon, Thomas; Nilsson, Erik; Zahedi, Sara Divergence-free cut finite element methods for Stokes flow. (English) Zbl 07930660 BIT 64, No. 4, Paper No. 39, 43 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N85 65N50 65N22 65N12 65F35 41A25 76D07 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Dongdong; Fu, Saisai; Deng, Like; Lin, Zhiwei Frequency convergence characteristics of lumped mass Galerkin meshfree methods. (English) Zbl 07868710 Comput. Mech. 73, No. 6, 1253-1282 (2024). MSC: 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Gui, Qiang; Li, Wei; Chai, Yingbin Improved modal analyses using the novel quadrilateral overlapping elements. (English) Zbl 1528.65107 Comput. Math. Appl. 154, 138-152 (2024). MSC: 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Greif, Chen; He, Yunhui A closed-form multigrid smoothing factor for an additive Vanka-type smoother applied to the Poisson equation. (English) Zbl 07790625 Numer. Linear Algebra Appl. 30, No. 5, e2500, 19 p. (2023). MSC: 65N55 65N30 65N06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Hua-Yu; Gao, Xiao-Wei; Zhang, Gui-Yong; Cui, Miao Explicit spectral element collocation method for nonlinear transient heat transfer. (English) Zbl 1538.65422 Comput. Math. Appl. 143, 289-302 (2023). MSC: 65M70 65M06 65L06 65N35 65N30 76M10 65M60 76N10 80A19 80M22 35Q79 65D05 65F05 × Cite Format Result Cite Review PDF Full Text: DOI
Petrov, Miroslav S.; Todorov, Todor D. Isoparametric numerical integration on enriched 4D simplicial elements. (English) Zbl 1498.65206 Appl. Numer. Math. 183, 221-235 (2023). MSC: 65N30 65N15 65N25 65D32 33C10 × Cite Format Result Cite Review PDF Full Text: DOI
Voet, Yannis On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems. (English) Zbl 1510.65254 Appl. Math. Comput. 436, Article ID 127516, 18 p. (2023). MSC: 65M60 35K05 80A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saha, Tinni; Parveen, Nazma; Islam, Tarikul Analysis of reciprocal thermal conductivity on free convection flow along a wavy vertical surface. (English) Zbl 1506.80002 Adv. Math. Phys. 2022, Article ID 6389275, 12 p. (2022). MSC: 80A19 76R10 74F10 74M10 80M10 74S20 65F05 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Shuaizhen; Chen, Ju; Tian, Qiang An implicit asynchronous variational integrator for flexible multibody dynamics. (English) Zbl 1507.74156 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115660, 29 p. (2022). MSC: 74H15 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Stoter, Stein K. F.; Nguyen, Thi-Hoa; Hiemstra, René R.; Schillinger, Dominik Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods. (English) Zbl 1507.65191 Comput. Methods Appl. Mech. Eng. 399, Article ID 115310, 23 p. (2022). MSC: 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ainsworth, Mark; Jiang, Shuai A systematic approach to constructing preconditioners for the \(hp\)-version mass matrix on unstructured and hybrid finite element meshes. (English) Zbl 1492.65295 SIAM J. Sci. Comput. 44, No. 2, A901-A934 (2022). MSC: 65N30 65N55 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Loli, Gabriele; Sangalli, Giancarlo; Tani, Mattia Easy and efficient preconditioning of the isogeometric mass matrix. (English) Zbl 1524.65841 Comput. Math. Appl. 116, 245-264 (2022). MSC: 65N30 65D07 41A15 65M60 74S05 65F08 65F10 65M06 65F35 65N50 49M41 65M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tkachuk, Anton Reciprocal mass matrices and a feasible time step estimator for finite elements with Allman’s rotations. (English) Zbl 1548.74911 Int. J. Numer. Methods Eng. 122, No. 5, 1401-1422 (2021). MSC: 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Vasil’ev, V. I.; Vasil’eva, M. V.; Nikiforov, D. Ya.; Sidnyaev, N. I.; Stepanov, S. P.; Tseeva, A. N. Computational implementation of a mixed-dimensional model of heat transfer in the soil-pipe system in cryolithic zone. (English. Russian original) Zbl 1480.80013 Comput. Math. Math. Phys. 61, No. 12, 2054-2067 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 12, 2060-2073 (2021). MSC: 80A22 80A19 76S05 80M10 80M20 76M10 76M20 65M60 65M06 65N30 65F05 65F50 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Lin; Wagner, Gregory J. An optimally-coupled multi-time stepping method for transient heat conduction simulation for additive manufacturing. (English) Zbl 1506.74395 Comput. Methods Appl. Mech. Eng. 381, Article ID 113825, 31 p. (2021). MSC: 74S05 74F05 65M60 65M12 74A15 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Appleton, Jay Miles; Helenbrook, Brian T. A high-order lower-triangular pseudo-mass matrix for explicit time advancement of \(hp\) triangular finite element methods. (English) Zbl 1486.65161 SIAM J. Numer. Anal. 59, No. 3, 1618-1638 (2021). Reviewer: Konstantinos Chrysafinos (Athens) MSC: 65M60 65N35 65D30 65M20 65N40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nairn, John A.; Hammerquist, Chad C. Material point method simulations using an approximate full mass matrix inverse. (English) Zbl 1506.74422 Comput. Methods Appl. Mech. Eng. 377, Article ID 113667, 19 p. (2021). MSC: 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Ainsworth, Mark; Jiang, Shuai Preconditioning the mass matrix for high order finite element approximation on tetrahedra. (English) Zbl 1466.65174 SIAM J. Sci. Comput. 43, No. 1, A384-A414 (2021). MSC: 65N30 65N55 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
González, José A.; Park, K. C. Large-step explicit time integration via mass matrix tailoring. (English) Zbl 1548.74806 Int. J. Numer. Methods Eng. 121, No. 8, 1647-1664 (2020). MSC: 74S05 65M60 65M12 74K10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tkachuk, Anton Customization of reciprocal mass matrices via log-det heuristic. (English) Zbl 1548.74910 Int. J. Numer. Methods Eng. 121, No. 4, 690-711 (2020). MSC: 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Kyoungsoo; Chi, Heng; Paulino, Glaucio H. Numerical recipes for elastodynamic virtual element methods with explicit time integration. (English) Zbl 1548.74874 Int. J. Numer. Methods Eng. 121, No. 1, 1-31 (2020). MSC: 74S05 65N30 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Pasquetti, Richard Elliptic problems in curved domains using cubature points based triangular spectral elements and isoparametric mappings. (English) Zbl 1463.65396 J. Math. Study 53, No. 3, 237-246 (2020). MSC: 65N35 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Ainsworth, Mark; Jiang, Shuai; Sanchéz, Manuel A. An \(\mathcal{O}(p^3)\) \(hp\)-version FEM in two dimensions: preconditioning and post-processing. (English) Zbl 1441.65089 Comput. Methods Appl. Mech. Eng. 350, 766-802 (2019). MSC: 65N30 65F08 65N22 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Hongwei; Zheng, Hong; Zhuang, Xiaoying Numerical manifold method for vibration analysis of Kirchhoff’s plates of arbitrary geometry. (English) Zbl 1481.74259 Appl. Math. Modelling 66, 695-727 (2019). MSC: 74H45 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Gorbushin, Nikolai; Nguyen, Vu-Hieu; Parnell, William J.; Assier, Raphaël C.; Naili, Salah Transient thermal boundary value problems in the half-space with mixed convective boundary conditions. (English) Zbl 1426.80003 J. Eng. Math. 114, 141-158 (2019). MSC: 80A20 65F30 80M25 80M10 76R10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ainsworth, Mark; Jiang, Shuai Preconditioning the mass matrix for high order finite element approximation on triangles. (English) Zbl 1426.65168 SIAM J. Numer. Anal. 57, No. 1, 355-377 (2019). Reviewer: Petr Sváček (Praha) MSC: 65N30 65N55 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, J. J.; Wang, Zi Xuan; Adetoro, O. B.; Wen, P. H.; Bailey, C. G. The thermal analysis of cutting/grinding processes by meshless finite block method. (English) Zbl 1464.80020 Eng. Anal. Bound. Elem. 100, 68-79 (2019). MSC: 80M10 65N30 80A19 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wang, Ying; Mei, Liquan; Li, Qi; Bu, Linlin Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation. (English) Zbl 1407.65230 Appl. Numer. Math. 136, 257-278 (2019). MSC: 65M70 65M60 65M15 35R11 35Q55 65M06 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
González, José A.; Kolman, R.; Cho, S. S.; Felippa, C. A.; Park, K. C. Inverse mass matrix via the method of localized Lagrange multipliers. (English) Zbl 1548.74805 Int. J. Numer. Methods Eng. 113, No. 2, 277-295 (2018). MSC: 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Junchao; Wang, Dongdong; Lin, Zeng A meshfree higher order mass matrix formulation for structural vibration analysis. (English) Zbl 1535.74317 Int. J. Struct. Stab. Dyn. 18, No. 10, Article ID 1850121, 35 p. (2018). MSC: 74H45 65N30 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Dongdong; Liang, Qingwen; Wu, Junchao A quadrature-based superconvergent isogeometric frequency analysis with macro-integration cells and quadratic splines. (English) Zbl 1439.65122 Comput. Methods Appl. Mech. Eng. 320, 712-744 (2017). MSC: 65M60 65D07 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Dongdong; Li, Xiwei; Pan, Feixu A unified quadrature-based superconvergent finite element formulation for eigenvalue computation of wave equations. (English) Zbl 1398.74418 Comput. Mech. 59, No. 1, 37-72 (2017). MSC: 74S05 65N30 65M60 74H45 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Pasquetti, Richard; Rapetti, Francesca Cubature versus Fekete-Gauss nodes for spectral element methods on simplicial meshes. (English) Zbl 1380.65211 J. Comput. Phys. 347, 463-466 (2017). MSC: 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Yang, Gang A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities. (English) Zbl 1365.65265 Int. J. Numer. Methods Eng. 110, No. 3, 203-226 (2017). MSC: 65N30 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, Jean-Luc; Popov, Bojan; Yang, Yong The effect of the consistent mass matrix on the maximum-principle for scalar conservation equations. (English) Zbl 1368.65192 J. Sci. Comput. 70, No. 3, 1358-1366 (2017). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M60 35L65 35B50 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Bin; Chen, Luoping; Hu, Xiaozhe; Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao Fast multilevel solvers for a class of discrete fourth order parabolic problems. (English) Zbl 1410.65386 J. Sci. Comput. 69, No. 1, 201-226 (2016). Reviewer: Zhiming Chen (Beijing) MSC: 65M60 65F10 65F08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Dongdong; Liang, Qingwen; Zhang, Hanjie A superconvergent isogeometric formulation for eigenvalue computation of three dimensional wave equation. (English) Zbl 1382.65374 Comput. Mech. 57, No. 6, 1037-1060 (2016). MSC: 65N25 65N30 65D17 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Nithiarasu, Perumal; Lewis, Roland W.; Seetharamu, Kankanhalli N. Fundamentals of the finite element method for heat and mass transfer. 2nd edition. (English) Zbl 1348.80001 Wiley Series in Computational Mechanics. Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-75625-6/hbk). xiii, 450 p. (2016). Reviewer: Alain Brillard (Riedisheim) MSC: 80-01 80A20 80M10 76F60 76F65 76R10 65N50 × Cite Format Result Cite Review PDF
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin Certified reduced basis methods for parametrized partial differential equations. (English) Zbl 1329.65203 SpringerBriefs in Mathematics; BCAM SpringerBriefs. Cham: Springer; Bilbao: BCAM – Basque Center for Applied Mathematics (ISBN 978-3-319-22469-5/pbk; 978-3-319-22470-1/ebook). xiii, 131 p. (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M15 65N15 65-02 65M12 65N12 65N30 74B05 80A20 35K05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Mirbagheri, Y.; Nahvi, H.; Parvizian, J.; Düster, Alexander Reducing spurious oscillations in discontinuous wave propagation simulation using high-order finite elements. (English) Zbl 1443.65217 Comput. Math. Appl. 70, No. 7, 1640-1658 (2015). MSC: 65M60 65L05 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Dongdong; Liu, Wei; Zhang, Hanjie Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices. (English) Zbl 1423.74415 Comput. Methods Appl. Mech. Eng. 286, 230-267 (2015). MSC: 74H45 65D17 65M60 74K10 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Mantzaflaris, Angelos; Jüttler, Bert Integration by interpolation and look-up for Galerkin-based isogeometric analysis. (English) Zbl 1425.65169 Comput. Methods Appl. Mech. Eng. 284, 373-400 (2015). MSC: 65N30 65D05 65D17 65D30 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Tkachuk, A.; Bischoff, M. Direct and sparse construction of consistent inverse mass matrices: general variational formulation and application to selective mass scaling. (English) Zbl 1352.74441 Int. J. Numer. Methods Eng. 101, No. 6, 435-469 (2015). MSC: 74S05 65M60 65M22 × Cite Format Result Cite Review PDF Full Text: DOI
Teukolsky, Saul A. Short note on the mass matrix for Gauss-Lobatto grid points. (English) Zbl 1352.65578 J. Comput. Phys. 283, 408-413 (2015). MSC: 65N35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Longfei; Calo, Victor M. Fast isogeometric solvers for explicit dynamics. (English) Zbl 1296.65129 Comput. Methods Appl. Mech. Eng. 274, 19-41 (2014). MSC: 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Danielson, Kent T. Fifteen node tetrahedral elements for explicit methods in nonlinear solid dynamics. (English) Zbl 1296.74109 Comput. Methods Appl. Mech. Eng. 272, 160-180 (2014). MSC: 74S05 74A05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Kuzmin, Dmitri Slope limiting for discontinuous Galerkin approximations with a possibly non-orthogonal Taylor basis. (English) Zbl 1431.65173 Int. J. Numer. Methods Fluids 71, No. 9, 1178-1190 (2013). MSC: 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Brazell, Michael J.; Helenbrook, Brian T. \(p=2\) continuous finite elements on tetrahedra with local mass matrix inversion to solve the preconditioned compressible Navier-Stokes equations. (English) Zbl 1391.76307 Comput. Fluids 88, 643-652 (2013). MSC: 76M10 65M60 76Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Soares, Delfim jun.; Anne, Schönewald; von Estorff, Otto An efficient smoothed point interpolation method for dynamic analyses. (English) Zbl 1359.74400 Int. J. Comput. Methods 10, No. 1, Article ID 1340007, 20 p. (2013). MSC: 74S05 65M60 74S25 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Dongdong; Liu, Wei; Zhang, Hanjie Novel higher order mass matrices for isogeometric structural vibration analysis. (English) Zbl 1286.74051 Comput. Methods Appl. Mech. Eng. 260, 92-108 (2013). MSC: 74H45 74S25 65N30 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Dehghan, Mehdi; Sabouri, Mania A spectral element method for solving the Pennes bioheat transfer equation by using triangular and quadrilateral elements. (English) Zbl 1349.74320 Appl. Math. Modelling 36, No. 12, 6031-6049 (2012). MSC: 74S05 74L15 74F05 65M60 92-08 92C50 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Belhout, Mohamed; Pousin, Jerome; Renard, Yves Singular perturbation with a reduced approximation order in space for the transport equation. (English) Zbl 1251.65128 Int. Math. Forum 7, No. 25-28, 1309-1315 (2012). MSC: 65M15 65M60 35F16 × Cite Format Result Cite Review PDF Full Text: Link
Beuchler, Sven; Pillwein, Veronika; Schöberl, Joachim; Zaglmayr, Sabine Sparsity optimized high order finite element functions on simplices. (English) Zbl 1250.65137 Langer, Ulrich (ed.) et al., Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer (ISBN 978-3-7091-0793-5/pbk; 978-3-7091-0794-2/ebook). Texts & Monographs in Symbolic Computation, 21-44 (2012). MSC: 65N30 35J25 74S05 65N50 65Y15 × Cite Format Result Cite Review PDF Full Text: DOI
Brazell, Michael J.; Helenbrook, Brian T. \(P = 2\) continuous finite elements on tetrahedra with local mass matrix inversion. (English) Zbl 1242.74098 Comput. Methods Appl. Mech. Eng. 213-216, 289-298 (2012). MSC: 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Lukkassen, Dag; Meidell, Annette Generalized chessboard structures whose effective conductivities are integer valued. (English) Zbl 1238.80002 J. Appl. Math. 2012, Article ID 874239, 7 p. (2012). MSC: 80A20 80M40 80M10 × Cite Format Result Cite Review PDF Full Text: DOI
He, Xin; Neytcheva, Maya; Capizzano, Stefano Serra On an augmented Lagrangian-based preconditioning of Oseen type problems. (English) Zbl 1269.65030 BIT 51, No. 4, 865-888 (2011). MSC: 65F08 65F10 35Q30 76D05 65M60 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Kirby, Robert C. Fast simplicial finite element algorithms using Bernstein polynomials. (English) Zbl 1211.65156 Numer. Math. 117, No. 4, 631-652 (2011). MSC: 65N30 35J25 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI
Branets, Larisa V.; Carey, Graham F. Condition number bounds and mesh quality. (English) Zbl 1240.65328 Numer. Linear Algebra Appl. 17, No. 5, 855-869 (2010). MSC: 65N30 65F35 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Wathen, Andy; Rees, Tyrone Chebyshev semi-iteration in preconditioning for problems including the mass matrix. (English) Zbl 1189.65065 ETNA, Electron. Trans. Numer. Anal. 34(2008-2009), 125-135 (2009). MSC: 65F10 65F08 65N30 65N12 35Q30 49J20 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
McDermott, Christopher I.; Walsh, Robert; Mettier, Ralph; Kosakowski, Georg; Kolditz, Olaf Hybrid analytical and finite element numerical modeling of mass and heat transport in fractured rocks with matrix diffusion. (English) Zbl 1179.80027 Comput. Geosci. 13, No. 3, 349-361 (2009). MSC: 80A20 76R50 80M10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gheorghiu, C. I.; Dragomirescu, Florica-Ioana Spectral methods in linear stability. Applications to thermal convection with variable gravity field. (English) Zbl 1160.76036 Appl. Numer. Math. 59, No. 6, 1290-1302 (2009). MSC: 76M22 76E06 76R10 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Mansur, W. J.; Vasconcellos, C. A. B.; Zambrozuski, N. J. M.; Filho, O. C. Rotunno Numerical solution for the linear transient heat conduction equation using an explicit Green’s approach. (English) Zbl 1156.80352 Int. J. Heat Mass Transfer 52, No. 3-4, 694-701 (2009). MSC: 80A20 80M10 × Cite Format Result Cite Review PDF Full Text: DOI
Basak, Tanmay; Roy, S.; Babu, S. Krishna; Pop, I. Finite element simulations of natural convection flow in an isosceles triangular enclosure filled with a porous medium: Effects of various thermal boundary conditions. (English) Zbl 1143.80304 Int. J. Heat Mass Transfer 51, No. 11-12, 2733-2741 (2008). MSC: 80A20 76R10 76S05 76D05 76M10 80M10 × Cite Format Result Cite Review PDF Full Text: DOI
Ge, Aimin; Liu, Miao; Li, Weihua; Luo, En Formations of stiffness matrix,mass matrices and geometric stiffness matrices of rectangular unconventional plate element (REUNC element) – unconventional element family. II. (Chinese. English summary) Zbl 1174.74321 J. Numer. Methods Comput. Appl. 28, No. 3, 230-240 (2007). MSC: 74K20 74S30 65M60 74S05 × Cite Format Result Cite Review PDF
Piperno, Serge DGTD methods using modal basis functions and symplectic local time-stepping. Application to wave propagation problems. (English) Zbl 1208.76093 Rev. Eur. Méc. Numér. 15, No. 6, 643-670 (2006). MSC: 76M10 76Q05 65P10 78M10 × Cite Format Result Cite Review PDF Full Text: DOI
Younes, Anis; Ackerer, Philippe; Lehmann, François A new mass lumping scheme for the mixed hybrid finite element method. (English) Zbl 1114.65116 Int. J. Numer. Methods Eng. 67, No. 1, 89-107 (2006). MSC: 65M60 35K15 × Cite Format Result Cite Review PDF Full Text: DOI
Kuzmin, D. On the design of general-purpose flux limiters for finite element schemes. I: Scalar convection. (English) Zbl 1189.76342 J. Comput. Phys. 219, No. 2, 513-531 (2006). MSC: 76M10 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Botella, Olivier; Shariff, Karim B-spline methods in fluid dynamics. (English) Zbl 1115.76382 Int. J. Comput. Fluid Dyn. 17, No. 2, 133-149 (2003). MSC: 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Bebendorf, Mario; Hackbusch, Wolfgang Existence of \(\mathcal H\)-matrix approximants to the inverse FE-matrix of elliptic operators with \(L^\infty\)-coefficients. (English) Zbl 1033.65100 Numer. Math. 95, No. 1, 1-28 (2003). Reviewer: Myron Sussman (Bethel Park) MSC: 65N30 65F05 65F50 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Scheerlinck, Nico; Verboven, Pieter; Stigter, Johannes D.; De Baerdemaeker, Josse; Van Impe, Jan F.; Nicolai, Bart M. A variance propagation algorithm for stochastic heat and mass transfer problems in food processes. (English) Zbl 0982.80008 Int. J. Numer. Methods Eng. 51, No. 8, 961-983 (2001). MSC: 80M10 × Cite Format Result Cite Review PDF Full Text: DOI
Koning, Joe; Rodrigue, Garry; White, Dan Scalable preconditioned conjugate gradient inversion of vector finite element mass matrices. (English) Zbl 0964.65131 J. Comput. Appl. Math. 123, No. 1-2, 307-321 (2000). Reviewer: Peter Reichensperger (Oberasbach) MSC: 65N30 65F35 65F10 35Q60 78A25 78M10 × Cite Format Result Cite Review PDF Full Text: DOI
Colin, Olivier; Rudgyard, Michael Development of high-order Taylor-Galerkin schemes for LES. (English) Zbl 0982.76058 J. Comput. Phys. 162, No. 2, 338-371 (2000). MSC: 76M10 76F65 × Cite Format Result Cite Review PDF Full Text: DOI
Taylor, Mark A.; Wingate, B. A. A generalized diagonal mass matrix spectral element method for non-quatrilateral elements. (English) Zbl 0964.65107 Appl. Numer. Math. 33, No. 1-4, 259-265 (2000). MSC: 65M60 65M50 65M70 35L45 × Cite Format Result Cite Review PDF Full Text: DOI
Kirchner, N. P. Computational aspects of the spectral Galerkin FEM for the Orr-Sommerfeld equation. (English) Zbl 0979.76048 Int. J. Numer. Methods Fluids 32, No. 1, 119-137 (2000). Reviewer: Z.Dżygadło (Warszawa) MSC: 76M10 76M22 76E05 × Cite Format Result Cite Review PDF Full Text: DOI
Miura, Shinichiro; Kakuda, Kazuhiko; Tosaka, Nobuyoshi Large eddy simulation of flow around a rectangular cylinder using the finite element method. (English) Zbl 0964.76034 Int. J. Comput. Fluid Dyn. 12, No. 3-4, 291-299 (1999). MSC: 76F65 76M10 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Klein, Bernd FEM. Foundations and applications of the finite element method. 3., überarb. Aufl. (FEM. Grundlagen und Anwendungen der Finite-Elemente-Methode.) (German) Zbl 0931.74002 Braunschweig: Vieweg. xiv, 346 S. (1999). Reviewer: Hans Bufler (Gräfelding) MSC: 74-01 74S05 × Cite Format Result Cite Review PDF
Bulgakov, Vitaly E.; Bulgakova, Marina V. Multinode finite element based on boundary integral equations. (English) Zbl 0936.74065 Int. J. Numer. Methods Eng. 43, No. 3, 533-548 (1998). MSC: 74S05 74S15 65N30 65N38 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Li Q.; Chassapis, Constantin; Manoochehri, Souran Optimal cooling system design for multi-cavity injection molding. (English) Zbl 0914.76058 Finite Elem. Anal. Des. 26, No. 3, 229-251 (1997). MSC: 76M10 76M25 76T99 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Bailey, C.; Cross, M. A finite volume procedure to solve elastic solid mechanics problems in three dimensions on an unstructured mesh. (English) Zbl 0822.73079 Int. J. Numer. Methods Eng. 38, No. 10, 1757-1776 (1995). MSC: 74S30 74S05 74B05 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Cohen, Gary; Monk, Peter Efficient edge finite element schemes in computational electromagnetism. (English) Zbl 0870.65117 Cohen, Gary (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the third international conference, Mandelieu-La Napoule, France, April 24–28, 1995. Philadelphia, PA: Society for Industrial and Applied Mathematics. 250-259 (1995). MSC: 65Z05 35Q60 78A25 65M60 × Cite Format Result Cite Review PDF
Mukherjee, Nilanjan; Sinha, P. K. A comparative finite element heat conduction analysis of laminated composite plates. (English) Zbl 0868.73076 Comput. Struct. 52, No. 3, 505-510 (1994). MSC: 74S05 74K20 74E30 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Haugazeau, Yves; Lacoste, Patrick Lumping of the mass matrix for 1st-order mixed finite elements of \(H(\text{curl})\). (English) Zbl 0814.65127 Kleinman, Ralph (ed.) et al., Mathematical and numerical aspects of wave propagation. Proceedings of the 2nd international conference held in Newark, DE, USA, June 7-10, 1993. Philadelphia, PA: SIAM. 259-268 (1993). MSC: 65Z05 65M60 35Q60 78A25 × Cite Format Result Cite Review PDF
Cohen, Gary; Joly, Patrick; Tordjman, Nathalie Construction and analysis of higher order finite elements with mass lumping for the wave equation. (English) Zbl 0814.65096 Kleinman, Ralph (ed.) et al., Mathematical and numerical aspects of wave propagation. Proceedings of the 2nd international conference held in Newark, DE, USA, June 7-10, 1993. Philadelphia, PA: SIAM. 152-160 (1993). MSC: 65M60 65M12 35L05 × Cite Format Result Cite Review PDF
Haugazeau, Yves; Lacoste, Patrick Condensation de la matrice masse pour les éléments finis mixtes de H(rot). (Lumping of the mass matrix for mixed finite elements of H(curl) space). (French. English summary) Zbl 0767.65076 C. R. Acad. Sci., Paris, Sér. I 316, No. 5, 509-512 (1993). MSC: 65N30 35J25 × Cite Format Result Cite Review PDF
Ramaswamy, B.; Jue, T. C.; Akin, J. E. Finite element analysis of oscillatory flow with heat transfer inside a square cavity. (English) Zbl 0745.76042 AIAA J. 30, No. 2, 412-422 (1992). MSC: 76M10 76D99 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Allen, Myron B.; Ewing, Richard E.; Lu, Peng Well-conditioned iterative schemes for mixed finite-element models of porous- media flows. (English) Zbl 0777.76047 SIAM J. Sci. Stat. Comput. 13, No. 3, 794-814 (1992). Reviewer: S.Mika (Plzen) MSC: 76M10 76S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Miller, Keith On the mass matrix spectrum bounds of Wathen and the local moving finite elements of Baines. (English) Zbl 0808.65114 SIAM J. Numer. Anal. 29, No. 1, 89-106 (1992). MSC: 65N30 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Y.-N.; Liang, R. Y.; Wang, D.-J. On convergence rate of finite element eigenvalue analysis with mass lumping by nodal quadrature. (English) Zbl 0757.65108 Comput. Mech. 8, No. 4, 249-256 (1991). Reviewer: I.Aganović (Zagreb) MSC: 65N25 65N30 65N15 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Wathen, A. J. On relaxation of Jacobi iteration for consistent and generalized mass matrices. (English) Zbl 0724.65028 Commun. Appl. Numer. Methods 7, No. 2, 93-102 (1991). Reviewer: H.Hollatz (Magdeburg) MSC: 65F10 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Baclic, B. S.; Dragutinovic, G. D. Asymmetric-unbalanced counterflow thermal regenerator problem: Solution by the Galerkin method and meaning of dimensionless parameters. (English) Zbl 0714.76076 Int. J. Heat Mass Transfer 34, No. 2, 483-498 (1991). MSC: 76M25 76R99 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Vu-Quoc, L. A perturbation method for dynamic analyses using under-integrated shell elements. (English) Zbl 0743.73018 Comput. Methods Appl. Mech. Eng. 79, No. 2, 129-172 (1990). Reviewer: Z.Dżygadło (Warszawa) MSC: 74H45 74S05 65M60 74K15 35B20 × Cite Format Result Cite Review PDF Full Text: DOI
Vasilets, O. S. The computation of the shape factor matrix for a finite-element model of mechanical construction by the Monte Carlo method for the solution of radiation heat transfer problems. (English) Zbl 0703.65084 J. Chengdu Univ. Sci. Technol. 1989, No. 3, 73-80 (1989). Reviewer: H.P.Dikshit MSC: 65Z05 65C05 65M60 80A20 35K05 × Cite Format Result Cite Review PDF
Gresho, Philip M. The finite element method in viscous incompressible flows. (English) Zbl 0692.76024 Recent advances in computational fluid dynamics, Proc. US/ROC Jt. Workshop, Princeton/NJ (USA) 1988, Lect. Notes Eng. 43, 148-190 (1989). MSC: 76D05 65N30 76-02 × Cite Format Result Cite Review PDF
Chen, Hsin-Chu; Sameh, Ahmed H. A matrix decomposition method for orthotropic elasticity problems. (English) Zbl 0669.73010 SIAM J. Matrix Anal. Appl. 10, No. 1, 39-64 (1989). Reviewer: U.Langer MSC: 74S30 65F05 65F15 15A04 65N30 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Jotova, Angelina Explicit evaluation of element matrices for quadratic triangular finite elements. (Bulgarian. English summary) Zbl 0731.65086 God. Sofij. Univ., Fak. Mat. Mekh. 77(1983), No. 1, 17-23 (1988). MSC: 65M60 74S05 35K15 65F30 × Cite Format Result Cite Review PDF
Wathen, A. J. Realistic eigenvalue bounds for the Galerkin mass matrix. (English) Zbl 0648.65076 IMA J. Numer. Anal. 7, 449-457 (1987). Reviewer: D.Janovska MSC: 65N30 74S05 65F15 15A42 65F10 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Pulko, S. H.; Johns, P. B. Modelling of thermal diffusion in three dimensions by the transmission line matrix method and the incorporation of nonlinear thermal properties. (English) Zbl 0628.65124 Commun. Appl. Numer. Methods 3, 571-579 (1987). Reviewer: P.K.Mahanti MSC: 65Z05 65N30 65C20 80A20 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Stelzer, J. F.; Welzel, R. Experiences in non-linear analysis of temperature fields with finite elements. (English) Zbl 0627.65127 Int. J. Numer. Methods Eng. 24, 59-73 (1987). Reviewer: N.F.F.Ebecken MSC: 65Z05 65N30 80A20 35K60 × Cite Format Result Cite Review PDF Full Text: DOI
Chong-Shien Tsai; Lee, George C. Arch dam-fluid interactions: FEM-BEM and substructure concept. (English) Zbl 0626.76041 Int. J. Numer. Methods Eng. 24, 2367-2388 (1987). MSC: 76D10 74F10 65N30 65N35 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Staniforth, A. Review: Formulating efficient finite-element codes for flows in regular domains. (English) Zbl 0621.76024 Int. J. Numer. Methods Fluids 7, 1-16 (1987). Reviewer: H.K.Verma MSC: 76D05 76-02 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI