Brenner, Susanne C.; Sung, Li-yeng; Gedicke, Joscha \(P_1\) finite element methods for an elliptic optimal control problem with pointwise state constraints. (English) Zbl 07330012 IMA J. Numer. Anal. 40, No. 1, 1-28 (2020). MSC: 65 PDF BibTeX XML Cite \textit{S. C. Brenner} et al., IMA J. Numer. Anal. 40, No. 1, 1--28 (2020; Zbl 07330012) Full Text: DOI
Egger, Herbert; Schöbel-Kröhn, Lukas Chemotaxis on networks: analysis and numerical approximation. (English) Zbl 1445.35199 ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1339-1372 (2020). MSC: 35K45 35R02 65M60 92C17 PDF BibTeX XML Cite \textit{H. Egger} and \textit{L. Schöbel-Kröhn}, ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1339--1372 (2020; Zbl 1445.35199) Full Text: DOI
Beilina, Larisa; Ruas, Vitoriano Convergence of explicit \(P_1\) finite-element solutions to Maxwell’s equations. (English) Zbl 07240119 Beilina, Larisa (ed.) et al., Mathematical and numerical approaches for multi-wave inverse problems. Selected papers based on the presentations at the conference, CIRM, Marseille, France, April 1–5, 2019. Cham: Springer (ISBN 978-3-030-48633-4/hbk; 978-3-030-48634-1/ebook). Springer Proceedings in Mathematics & Statistics 328, 91-103 (2020). MSC: 65 PDF BibTeX XML Cite \textit{L. Beilina} and \textit{V. Ruas}, in: Mathematical and numerical approaches for multi-wave inverse problems. Selected papers based on the presentations at the conference, CIRM, Marseille, France, April 1--5, 2019. Cham: Springer. 91--103 (2020; Zbl 07240119) Full Text: DOI
Both, Jakub W.; Nordbotten, Jan M.; Radu, Florin A. Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media. (English) Zbl 1454.65073 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 203-211 (2020). MSC: 65M08 65M06 65N30 65N12 76S05 74F10 74L15 PDF BibTeX XML Cite \textit{J. W. Both} et al., Springer Proc. Math. Stat. 323, 203--211 (2020; Zbl 1454.65073) Full Text: DOI
Egger, Herbert; Radu, Bogdan On a second-order multipoint flux mixed finite element methods on hybrid meshes. (English) Zbl 1447.65136 SIAM J. Numer. Anal. 58, No. 3, 1822-1844 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N12 35F45 76S05 76M10 35Q35 PDF BibTeX XML Cite \textit{H. Egger} and \textit{B. Radu}, SIAM J. Numer. Anal. 58, No. 3, 1822--1844 (2020; Zbl 1447.65136) Full Text: DOI
Egger, H.; Radu, B. A mass-lumped mixed finite element method for acoustic wave propagation. (English) Zbl 1450.65120 Numer. Math. 145, No. 2, 239-269 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65M12 35L05 35L50 65L20 76Q05 PDF BibTeX XML Cite \textit{H. Egger} and \textit{B. Radu}, Numer. Math. 145, No. 2, 239--269 (2020; Zbl 1450.65120) Full Text: DOI
Droniou, Jerome; Eymard, Robert High-order mass-lumped schemes for nonlinear degenerate elliptic equations. (English) Zbl 1447.65116 SIAM J. Numer. Anal. 58, No. 1, 153-188 (2020). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N12 65N15 65N30 35J70 PDF BibTeX XML Cite \textit{J. Droniou} and \textit{R. Eymard}, SIAM J. Numer. Anal. 58, No. 1, 153--188 (2020; Zbl 1447.65116) Full Text: DOI arXiv
Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne; Venkataraman, Chandrasekhar Preserving invariance properties of reaction-diffusion systems on stationary surfaces. (English) Zbl 07208103 IMA J. Numer. Anal. 39, No. 1, 235-270 (2019). MSC: 65 PDF BibTeX XML Cite \textit{M. Frittelli} et al., IMA J. Numer. Anal. 39, No. 1, 235--270 (2019; Zbl 07208103) Full Text: DOI
Duczek, S.; Gravenkamp, H. Mass lumping techniques in the spectral element method: on the equivalence of the row-sum, nodal quadrature, and diagonal scaling methods. (English) Zbl 1441.74238 Comput. Methods Appl. Mech. Eng. 353, 516-569 (2019). MSC: 74S05 65M70 65M60 PDF BibTeX XML Cite \textit{S. Duczek} and \textit{H. Gravenkamp}, Comput. Methods Appl. Mech. Eng. 353, 516--569 (2019; Zbl 1441.74238) Full Text: DOI
Wu, Wenan; Zheng, Hong; Yang, Yongtao Enriched three-field numerical manifold formulation for dynamics of fractured saturated porous media. (English) Zbl 1441.74069 Comput. Methods Appl. Mech. Eng. 353, 217-252 (2019). MSC: 74F10 74S05 76M10 65M60 74R10 76S05 PDF BibTeX XML Cite \textit{W. Wu} et al., Comput. Methods Appl. Mech. Eng. 353, 217--252 (2019; Zbl 1441.74069) Full Text: DOI
Duczek, S.; Gravenkamp, Hauke Critical assessment of different mass lumping schemes for higher order serendipity finite elements. (English) Zbl 1441.74239 Comput. Methods Appl. Mech. Eng. 350, 836-897 (2019). MSC: 74S05 65N30 PDF BibTeX XML Cite \textit{S. Duczek} and \textit{H. Gravenkamp}, Comput. Methods Appl. Mech. Eng. 350, 836--897 (2019; Zbl 1441.74239) Full Text: DOI
Neoh, S. S.; Ismail, F. Residual distribution schemes for Maxwell’s equations. (English) Zbl 1428.78034 Appl. Math. Comput. 348, 275-317 (2019). MSC: 78M20 65M06 78A25 PDF BibTeX XML Cite \textit{S. S. Neoh} and \textit{F. Ismail}, Appl. Math. Comput. 348, 275--317 (2019; Zbl 1428.78034) Full Text: DOI
Siryk, Sergii V. A note on the application of the Guermond-Pasquetti mass lumping correction technique for convection-diffusion problems. (English) Zbl 1416.65359 J. Comput. Phys. 376, 1273-1291 (2019). MSC: 65M60 42A16 PDF BibTeX XML Cite \textit{S. V. Siryk}, J. Comput. Phys. 376, 1273--1291 (2019; Zbl 1416.65359) Full Text: DOI
Geevers, S.; Mulder, W. A.; van der Vegt, J. J. W. Efficient quadrature rules for computing the stiffness matrices of mass-lumped tetrahedral elements for linear wave problems. (English) Zbl 1414.65014 SIAM J. Sci. Comput. 41, No. 2, A1041-A1065 (2019). MSC: 65M12 65M60 65M70 65D32 PDF BibTeX XML Cite \textit{S. Geevers} et al., SIAM J. Sci. Comput. 41, No. 2, A1041--A1065 (2019; Zbl 1414.65014) Full Text: DOI arXiv
Albrecht, Clelia; Klaar, Constanze; Pask, John Ernest; Schweitzer, Marc Alexander; Sukumar, N.; Ziegenhagel, Albert Orbital-enriched flat-top partition of unity method for the Schrödinger eigenproblem. (English) Zbl 1440.65163 Comput. Methods Appl. Mech. Eng. 342, 224-239 (2018). MSC: 65N25 81Q05 PDF BibTeX XML Cite \textit{C. Albrecht} et al., Comput. Methods Appl. Mech. Eng. 342, 224--239 (2018; Zbl 1440.65163) Full Text: DOI
Geevers, S.; Mulder, W. A.; van der Vegt, J. J. W. Dispersion properties of explicit finite element methods for wave propagation modelling on tetrahedral meshes. (English) Zbl 1407.65190 J. Sci. Comput. 77, No. 1, 372-396 (2018). MSC: 65M60 76Q05 74J30 74B20 PDF BibTeX XML Cite \textit{S. Geevers} et al., J. Sci. Comput. 77, No. 1, 372--396 (2018; Zbl 1407.65190) Full Text: DOI
Geevers, S.; Mulder, W. A.; van der Vegt, J. J. W. New higher-order mass-lumped tetrahedral elements for wave propagation modelling. (English) Zbl 1397.65158 SIAM J. Sci. Comput. 40, No. 5, A2830-A2857 (2018). MSC: 65M12 65M60 PDF BibTeX XML Cite \textit{S. Geevers} et al., SIAM J. Sci. Comput. 40, No. 5, A2830--A2857 (2018; Zbl 1397.65158) Full Text: DOI arXiv
Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne; Venkataraman, Chandrasekhar Lumped finite elements for reaction-cross-diffusion systems on stationary surfaces. (English) Zbl 1397.65185 Comput. Math. Appl. 74, No. 12, 3008-3023 (2017). MSC: 65M60 35K51 35K57 35K58 65M06 65M15 65M12 PDF BibTeX XML Cite \textit{M. Frittelli} et al., Comput. Math. Appl. 74, No. 12, 3008--3023 (2017; Zbl 1397.65185) Full Text: DOI
Cui, Tao; Leng, Wei; Lin, Deng; Ma, Shichao; Zhang, Linbo High order mass-lumping finite elements on simplexes. (English) Zbl 1399.65246 Numer. Math., Theory Methods Appl. 10, No. 2, 331-350 (2017). MSC: 65M60 65D05 65D32 PDF BibTeX XML Cite \textit{T. Cui} et al., Numer. Math., Theory Methods Appl. 10, No. 2, 331--350 (2017; Zbl 1399.65246) Full Text: DOI
Chan, Jesse; Wang, Zheng; Hewett, Russell J.; Warburton, T. Reduced storage nodal discontinuous Galerkin methods on semi-structured prismatic meshes. (English) Zbl 1371.65107 Comput. Math. Appl. 73, No. 5, 775-793 (2017). MSC: 65M60 65M12 65M50 35L05 65Y10 PDF BibTeX XML Cite \textit{J. Chan} et al., Comput. Math. Appl. 73, No. 5, 775--793 (2017; Zbl 1371.65107) Full Text: DOI arXiv
Rösch, Arnd; Wachsmuth, Gerd Mass lumping for the optimal control of elliptic partial differential equations. (English) Zbl 1368.49037 SIAM J. Numer. Anal. 55, No. 3, 1412-1436 (2017). MSC: 49M25 49K20 65N30 PDF BibTeX XML Cite \textit{A. Rösch} and \textit{G. Wachsmuth}, SIAM J. Numer. Anal. 55, No. 3, 1412--1436 (2017; Zbl 1368.49037) 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 PDF BibTeX XML Cite \textit{J.-L. Guermond} et al., J. Sci. Comput. 70, No. 3, 1358--1366 (2017; Zbl 1368.65192) Full Text: DOI
Cohen, Gary; Pernet, Sébastien Finite element and discontinuous Galerkin methods for transient wave equations. (English) Zbl 1360.65233 Scientific Computation. Dordrecht: Springer (ISBN 978-94-017-7759-9/hbk; 978-94-017-7761-2/ebook). xvii, 381 p. (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65M60 65-02 65M12 65M15 35L05 74S05 76M10 78M10 35Q61 74B05 PDF BibTeX XML Cite \textit{G. Cohen} and \textit{S. Pernet}, Finite element and discontinuous Galerkin methods for transient wave equations. Dordrecht: Springer (2017; Zbl 1360.65233) Full Text: DOI
Fernández, Miguel A.; Mullaert, Jimmy Convergence and error analysis for a class of splitting schemes in incompressible fluid-structure interaction. (English) Zbl 1433.76082 IMA J. Numer. Anal. 36, No. 4, 1748-1782 (2016). MSC: 76M10 74S05 65M60 65M15 74F10 76D07 PDF BibTeX XML Cite \textit{M. A. Fernández} and \textit{J. Mullaert}, IMA J. Numer. Anal. 36, No. 4, 1748--1782 (2016; Zbl 1433.76082) Full Text: DOI
Islam, M. S. A mass lumping and distributing finite element algorithm for modeling flow in variably saturated porous media. (English) Zbl 1352.76056 J. Korean Soc. Ind. Appl. Math. 20, No. 3, 243-259 (2016). MSC: 76M10 65M60 35Q35 76S05 PDF BibTeX XML Cite \textit{M. S. Islam}, J. Korean Soc. Ind. Appl. Math. 20, No. 3, 243--259 (2016; Zbl 1352.76056) Full Text: DOI Link
Shamasundar, R.; Mulder, W. A. Improving the accuracy of mass-lumped finite-elements in the first-order formulation of the wave equation by defect correction. (English) Zbl 1352.65370 J. Comput. Phys. 322, 689-707 (2016). MSC: 65M60 PDF BibTeX XML Cite \textit{R. Shamasundar} and \textit{W. A. Mulder}, J. Comput. Phys. 322, 689--707 (2016; Zbl 1352.65370) Full Text: DOI
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle Gradient schemes: generic tools for the numerical analysis of diffusion equations. (English) Zbl 1346.65042 ESAIM, Math. Model. Numer. Anal. 50, No. 3, 749-781 (2016). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M08 65M12 65M60 35K05 PDF BibTeX XML Cite \textit{J. Droniou} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 3, 749--781 (2016; Zbl 1346.65042) Full Text: DOI
Thompson, Travis A discrete commutator theory for the consistency and phase error analysis of semi-discrete \(C^0\) finite element approximations to the linear transport equation. (English) Zbl 1382.65329 J. Comput. Appl. Math. 303, 229-248 (2016). MSC: 65M60 65M12 PDF BibTeX XML Cite \textit{T. Thompson}, J. Comput. Appl. Math. 303, 229--248 (2016; Zbl 1382.65329) Full Text: DOI
Adam, C.; Bouabdallah, S.; Zarroug, M.; Maitournam, H. Stable time step estimates for NURBS-based explicit dynamics. (English) Zbl 1425.65105 Comput. Methods Appl. Mech. Eng. 295, 581-605 (2015). MSC: 65M60 65D17 PDF BibTeX XML Cite \textit{C. Adam} et al., Comput. Methods Appl. Mech. Eng. 295, 581--605 (2015; Zbl 1425.65105) Full Text: DOI
Ganguly, Smitadhi; Nandi, A.; Neogy, S. Stability analysis of non-axisymmetric three-dimensional finite element rotor models with partial and full mass lumping. (English) Zbl 1322.70004 Sādhanā 39, No. 3, 597-606 (2014). MSC: 70E17 PDF BibTeX XML Cite \textit{S. Ganguly} et al., Sādhanā 39, No. 3, 597--606 (2014; Zbl 1322.70004) Full Text: DOI
Zhang, Huirong; Cao, Jianwen; Sun, Jiachang Calculations and analyses of several high accuracy schemes for solving ODE eigenproblem on non-uniform grid. (Chinese. English summary) Zbl 1313.65200 J. Numer. Methods Comput. Appl. 35, No. 2, 131-152 (2014). MSC: 65L15 65L50 34L16 65L70 65L12 65L60 PDF BibTeX XML Cite \textit{H. Zhang} et al., J. Numer. Methods Comput. Appl. 35, No. 2, 131--152 (2014; Zbl 1313.65200)
Joulaian, Meysam; Duczek, Sascha; Gabbert, Ulrich; Düster, Alexander Finite and spectral cell method for wave propagation in heterogeneous materials. (English) Zbl 1311.74056 Comput. Mech. 54, No. 3, 661-675 (2014). MSC: 74J05 74S05 65N30 65N35 PDF BibTeX XML Cite \textit{M. Joulaian} et al., Comput. Mech. 54, No. 3, 661--675 (2014; Zbl 1311.74056) 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 PDF BibTeX XML Cite \textit{K. T. Danielson}, Comput. Methods Appl. Mech. Eng. 272, 160--180 (2014; Zbl 1296.74109) Full Text: DOI
Xu, Dandan; Liu, Zhanli; Liu, Xiaoming; Zeng, Qinglei; Zhuang, Zhuo Modeling of dynamic crack branching by enhanced extended finite element method. (English) Zbl 1398.74422 Comput. Mech. 54, No. 2, 489-502 (2014). MSC: 74S05 74R10 74R99 74H60 PDF BibTeX XML Cite \textit{D. Xu} et al., Comput. Mech. 54, No. 2, 489--502 (2014; Zbl 1398.74422) 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 PDF BibTeX XML Cite \textit{M. J. Brazell} and \textit{B. T. Helenbrook}, Comput. Fluids 88, 643--652 (2013; Zbl 1391.76307) Full Text: DOI
Guermond, Jean-Luc; Pasquetti, Richard A correction technique for the dispersive effects of mass lumping for transport problems. (English) Zbl 1297.65168 Comput. Methods Appl. Mech. Eng. 253, 186-198 (2013). MSC: 65N35 65D30 PDF BibTeX XML Cite \textit{J.-L. Guermond} and \textit{R. Pasquetti}, Comput. Methods Appl. Mech. Eng. 253, 186--198 (2013; Zbl 1297.65168) Full Text: DOI
Schweitzer, Marc Alexander Variational mass lumping in the partition of unity method. (English) Zbl 1266.65162 SIAM J. Sci. Comput. 35, No. 2, A1073-A1097 (2013). MSC: 65M50 65M15 PDF BibTeX XML Cite \textit{M. A. Schweitzer}, SIAM J. Sci. Comput. 35, No. 2, A1073--A1097 (2013; Zbl 1266.65162) Full Text: DOI
Grote, Marcus J.; Mitkova, Teodora High-order explicit local time-stepping methods for damped wave equations. (English) Zbl 1255.65174 J. Comput. Appl. Math. 239, 270-289 (2013). MSC: 65M60 PDF BibTeX XML Cite \textit{M. J. Grote} and \textit{T. Mitkova}, J. Comput. Appl. Math. 239, 270--289 (2013; Zbl 1255.65174) Full Text: DOI arXiv
Annavarapu, Chandrasekhar; Hautefeuille, Martin; Dolbow, John E. Stable imposition of stiff constraints in explicit dynamics for embedded finite element methods. (English) Zbl 1352.74314 Int. J. Numer. Methods Eng. 92, No. 2, 206-228 (2012). MSC: 74S05 65N30 PDF BibTeX XML Cite \textit{C. Annavarapu} et al., Int. J. Numer. Methods Eng. 92, No. 2, 206--228 (2012; Zbl 1352.74314) Full Text: DOI
Weber, Steffen; Arnold, Martin; Valášek, Michael Quasistatic approximations for stiff second order differential equations. (English) Zbl 1251.65102 Appl. Numer. Math. 62, No. 10, 1579-1590 (2012). MSC: 65L05 65L04 65L11 34A34 34E15 70E60 PDF BibTeX XML Cite \textit{S. Weber} et al., Appl. Numer. Math. 62, No. 10, 1579--1590 (2012; Zbl 1251.65102) 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 PDF BibTeX XML Cite \textit{M. J. Brazell} and \textit{B. T. Helenbrook}, Comput. Methods Appl. Mech. Eng. 213--216, 289--298 (2012; Zbl 1242.74098) Full Text: DOI
Nœtinger, B.; Jarrige, N. A quasi steady state method for solving transient Darcy flow in complex 3D fractured networks. (English) Zbl 1415.76460 J. Comput. Phys. 231, No. 1, 23-38 (2012). MSC: 76M10 76S05 86A05 PDF BibTeX XML Cite \textit{B. Nœtinger} and \textit{N. Jarrige}, J. Comput. Phys. 231, No. 1, 23--38 (2012; Zbl 1415.76460) Full Text: DOI
Kormann, Katharina; Kronbichler, Martin; Müller, Bernhard Derivation of strictly stable high order difference approximations for variable-coefficient PDE. (English) Zbl 1262.65104 J. Sci. Comput. 50, No. 1, 167-197 (2012). Reviewer: Muhammad Akram (Lahore) MSC: 65M06 35K20 35Q30 65M12 65M15 PDF BibTeX XML Cite \textit{K. Kormann} et al., J. Sci. Comput. 50, No. 1, 167--197 (2012; Zbl 1262.65104) Full Text: DOI
Fang, Jun; Gao, Xingyu; Zhou, Aihui A Kohn-Sham equation solver based on hexahedral finite elements. (English) Zbl 1245.82007 J. Comput. Phys. 231, No. 8, 3166-3180 (2012). MSC: 82B10 35Q55 82-08 65N30 65N50 PDF BibTeX XML Cite \textit{J. Fang} et al., J. Comput. Phys. 231, No. 8, 3166--3180 (2012; Zbl 1245.82007) Full Text: DOI
Zhu, Liyong; Du, Qiang Mesh-dependent stability for finite element approximations of parabolic equations with mass lumping. (English) Zbl 1269.65084 J. Comput. Appl. Math. 236, No. 5, 801-811 (2011). MSC: 65M12 65M60 35K20 65M50 PDF BibTeX XML Cite \textit{L. Zhu} and \textit{Q. Du}, J. Comput. Appl. Math. 236, No. 5, 801--811 (2011; Zbl 1269.65084) Full Text: DOI
Danielson, Kent T.; O’Daniel, James L. Reliable second-order hexahedral elements for explicit methods in nonlinear solid dynamics. (English) Zbl 1217.74118 Int. J. Numer. Methods Eng. 85, No. 9, 1073-1102 (2011). MSC: 74S05 74H45 74M20 PDF BibTeX XML Cite \textit{K. T. Danielson} and \textit{J. L. O'Daniel}, Int. J. Numer. Methods Eng. 85, No. 9, 1073--1102 (2011; Zbl 1217.74118) Full Text: DOI
Castel, N.; Cohen, G.; Duruflé, M. Application of discontinuous Galerkin spectral method on hexahedral elements for aeroacoustic. (English) Zbl 1257.76047 J. Comput. Acoust. 17, No. 2, 175-196 (2009). MSC: 76M10 76M22 76Q05 PDF BibTeX XML Cite \textit{N. Castel} et al., J. Comput. Acoust. 17, No. 2, 175--196 (2009; Zbl 1257.76047) Full Text: DOI
Gravouil, A.; Elguedj, T.; Maigre, H. An explicit dynamics extended finite element method. II: Element-by-element stable-explicit/explicit dynamic scheme. (English) Zbl 1229.74129 Comput. Methods Appl. Mech. Eng. 198, No. 30-32, 2318-2328 (2009). MSC: 74S05 74R10 74B05 PDF BibTeX XML Cite \textit{A. Gravouil} et al., Comput. Methods Appl. Mech. Eng. 198, No. 30--32, 2318--2328 (2009; Zbl 1229.74129) Full Text: DOI
Elguedj, T.; Gravouil, A.; Maigre, H. An explicit dynamics extended finite element method. I: Mass lumping for arbitrary enrichment functions. (English) Zbl 1229.74128 Comput. Methods Appl. Mech. Eng. 198, No. 30-32, 2297-2317 (2009). MSC: 74S05 74R10 74B05 PDF BibTeX XML Cite \textit{T. Elguedj} et al., Comput. Methods Appl. Mech. Eng. 198, No. 30--32, 2297--2317 (2009; Zbl 1229.74128) Full Text: DOI
Hager, C.; Wohlmuth, B. I. Analysis of a space-time discretization for dynamic elasticity problems based on mass-free surface elements. (English) Zbl 1406.74631 SIAM J. Numer. Anal. 47, No. 3, 1863-1885 (2009). MSC: 74S05 74B05 74M15 65D32 65M60 PDF BibTeX XML Cite \textit{C. Hager} and \textit{B. I. Wohlmuth}, SIAM J. Numer. Anal. 47, No. 3, 1863--1885 (2009; Zbl 1406.74631) Full Text: DOI
Diaz, Julien; Grote, Marcus J. Energy conserving explicit local time stepping for second-order wave equations. (English) Zbl 1195.65131 SIAM J. Sci. Comput. 31, No. 3, 1985-2014 (2009). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65M60 35L05 65M06 65Y05 PDF BibTeX XML Cite \textit{J. Diaz} and \textit{M. J. Grote}, SIAM J. Sci. Comput. 31, No. 3, 1985--2014 (2009; Zbl 1195.65131) Full Text: DOI
Helenbrook, B. T. On the existence of explicit \(hp\)-finite element methods using Gauss-Lobatto integration on the triangle. (English) Zbl 1191.65154 SIAM J. Numer. Anal. 47, No. 2, 1304-1318 (2009). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65D32 74S05 74S25 76M10 76M22 PDF BibTeX XML Cite \textit{B. T. Helenbrook}, SIAM J. Numer. Anal. 47, No. 2, 1304--1318 (2009; Zbl 1191.65154) Full Text: DOI
Durufle, M.; Grob, P.; Joly, P. Influence of Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain. (English) Zbl 1167.65057 Numer. Methods Partial Differ. Equations 25, No. 3, 526-551 (2009). Reviewer: Nicolae Pop (Baia Mare) MSC: 65M60 65M15 65M50 35L15 PDF BibTeX XML Cite \textit{M. Durufle} et al., Numer. Methods Partial Differ. Equations 25, No. 3, 526--551 (2009; Zbl 1167.65057) Full Text: DOI
Jund, Sébastien Higher-order finite element methods for the numerical simulation of wave propagation. (Méthodes d’éléments finis d’ordre élevé pour la simulation numérique de la propagation d’ondes.) (French) Zbl 1216.65131 Strasbourg: Univ. de Strasbourg, Institut de Recherche Mathématique Avancée (IRMA) (Diss. 2007). xiv, 189 p. (2008). MSC: 65M60 PDF BibTeX XML Cite \textit{S. Jund}, Méthodes d'éléments finis d'ordre élevé pour la simulation numérique de la propagation d'ondes. Strasbourg: Univ. de Strasbourg, Institut de Recherche Mathématique Avancée (IRMA) (Diss. 2007) (2008; Zbl 1216.65131) Full Text: Link
Hager, C.; Hüeber, S.; Wohlmuth, B. I. A stable energy-conserving approach for frictional contact problems based on quadrature formulas. (English) Zbl 1166.74050 Int. J. Numer. Methods Eng. 73, No. 2, 205-225 (2008). MSC: 74S30 74M15 74M10 PDF BibTeX XML Cite \textit{C. Hager} et al., Int. J. Numer. Methods Eng. 73, No. 2, 205--225 (2008; Zbl 1166.74050) Full Text: DOI
Becker, Roland; Hansbo, Peter A simple pressure stabilization method for the Stokes equation. (English) Zbl 1153.76036 Commun. Numer. Methods Eng. 24, No. 11, 1421-1430 (2008). MSC: 76M10 76D07 PDF BibTeX XML Cite \textit{R. Becker} and \textit{P. Hansbo}, Commun. Numer. Methods Eng. 24, No. 11, 1421--1430 (2008; Zbl 1153.76036) Full Text: DOI
Younes, A.; Fahs, M.; Ackerer, P. A new approach to avoid excessive numerical diffusion in Eulerian-Lagrangian methods. (English) Zbl 1153.76042 Commun. Numer. Methods Eng. 24, No. 11, 897-910 (2008). MSC: 76M10 76M20 76R99 PDF BibTeX XML Cite \textit{A. Younes} et al., Commun. Numer. Methods Eng. 24, No. 11, 897--910 (2008; Zbl 1153.76042) Full Text: DOI
Zadeh, Kouroush Sadegh Parameter estimation in flow through partially saturated porous materials. (English) Zbl 1218.76030 J. Comput. Phys. 227, No. 24, 10243-10262 (2008). MSC: 76M10 65R32 76S05 PDF BibTeX XML Cite \textit{K. S. Zadeh}, J. Comput. Phys. 227, No. 24, 10243--10262 (2008; Zbl 1218.76030) Full Text: DOI
Mönkölä, Sanna; Heikkola, Erkki; Pennanen, Anssi; Rossi, Tuomo Time-harmonic elasticity with controllability and higher-order discretization methods. (English) Zbl 1141.74045 J. Comput. Phys. 227, No. 11, 5513-5534 (2008). MSC: 74S25 74S20 74J10 74B05 74M05 PDF BibTeX XML Cite \textit{S. Mönkölä} et al., J. Comput. Phys. 227, No. 11, 5513--5534 (2008; Zbl 1141.74045) Full Text: DOI
Jund, Sébastien; Salmon, Stéphanie Arbitrary high-order finite element schemes and high-order mass lumping. (English) Zbl 1220.65137 Int. J. Appl. Math. Comput. Sci. 17, No. 3, 375-393 (2007). Reviewer: Pavel Burda (Praha) MSC: 65M60 35L05 PDF BibTeX XML Cite \textit{S. Jund} and \textit{S. Salmon}, Int. J. Appl. Math. Comput. Sci. 17, No. 3, 375--393 (2007; Zbl 1220.65137) Full Text: DOI EuDML
Cohen, G.; Grob, P. Mixed higher-order spectral finite elements for Reissner-Mindlin equations. (English) Zbl 1138.74047 SIAM J. Sci. Comput. 29, No. 3, 986-1005 (2007). MSC: 74S05 74S25 74K20 PDF BibTeX XML Cite \textit{G. Cohen} and \textit{P. Grob}, SIAM J. Sci. Comput. 29, No. 3, 986--1005 (2007; Zbl 1138.74047) Full Text: DOI
Heikkola, Erkki; Mönkölä, Sanna; Pennanen, Anssi; Rossi, Tuomo Controllability method for the Helmholtz equation with higher-order discretizations. (English) Zbl 1117.93014 J. Comput. Phys. 225, No. 2, 1553-1576 (2007). MSC: 93B05 93C20 93B40 35J05 PDF BibTeX XML Cite \textit{E. Heikkola} et al., J. Comput. Phys. 225, No. 2, 1553--1576 (2007; Zbl 1117.93014) Full Text: DOI
Adjerid, S. A posteriori error estimation for the method of lumped masses applied to second-order hyperbolic problems. (English) Zbl 1124.65081 Comput. Methods Appl. Mech. Eng. 195, No. 33-36, 4203-4219 (2006). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M15 65M60 65M12 35L05 PDF BibTeX XML Cite \textit{S. Adjerid}, Comput. Methods Appl. Mech. Eng. 195, No. 33--36, 4203--4219 (2006; Zbl 1124.65081) 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 PDF BibTeX XML Cite \textit{A. Younes} et al., Int. J. Numer. Methods Eng. 67, No. 1, 89--107 (2006; Zbl 1114.65116) Full Text: DOI
Thomée, Vidar Galerkin finite element methods for parabolic problems. 2nd revised and expanded ed. (English) Zbl 1105.65102 Berlin: Springer (ISBN 3-540-33121-2/hbk). xii, 370 p. (2006). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M60 35K15 35K55 65M20 65M12 65M15 65-02 PDF BibTeX XML Cite \textit{V. Thomée}, Galerkin finite element methods for parabolic problems. 2nd revised and expanded ed. Berlin: Springer (2006; Zbl 1105.65102) Full Text: DOI
Duan, Huo-yuan; Lin, Ping; Saikrishnan, P.; Tan, Roger C. E. \(L^{2}\)-projected least-squares finite element methods for the Stokes equations. (English) Zbl 1118.65119 SIAM J. Numer. Anal. 44, No. 2, 732-752 (2006). Reviewer: Willy Govaerts (Gent) MSC: 65N30 65N15 35J25 35Q30 76M10 76D07 PDF BibTeX XML Cite \textit{H.-y. Duan} et al., SIAM J. Numer. Anal. 44, No. 2, 732--752 (2006; Zbl 1118.65119) Full Text: DOI
Mefire, S. M. Some remarks on a mass lumping with incidence matrix for first-order finite elements of \(H(div)\) space in dimension two. (English) Zbl 1098.65115 Far East J. Appl. Math. 19, No. 2, 181-195 (2005). Reviewer: Petr Necesal (Plzen) MSC: 65N30 65N15 35J25 PDF BibTeX XML Cite \textit{S. M. Mefire}, Far East J. Appl. Math. 19, No. 2, 181--195 (2005; Zbl 1098.65115)
Cohen, Gary; Fauqueux, Sandrine Mixed spectral finite elements for the linear elasticity system in unbounded domains. (English) Zbl 1080.74044 SIAM J. Sci. Comput. 26, No. 3, 864-884 (2005). MSC: 74S05 74S25 74B05 PDF BibTeX XML Cite \textit{G. Cohen} and \textit{S. Fauqueux}, SIAM J. Sci. Comput. 26, No. 3, 864--884 (2005; Zbl 1080.74044) Full Text: DOI
Ferreira, Raúl; Groisman, Pablo; Rossi, Julio D. Numerical blow-up for the porous medium equation with a source. (English) Zbl 1058.76033 Numer. Methods Partial Differ. Equations 20, No. 4, 552-575 (2004). MSC: 76M10 76S05 PDF BibTeX XML Cite \textit{R. Ferreira} et al., Numer. Methods Partial Differ. Equations 20, No. 4, 552--575 (2004; Zbl 1058.76033) Full Text: DOI
Armentano, María G.; Durán, Ricardo G. Mass-lumping or not mass-lumping for eigenvalue problems. (English) Zbl 1041.65086 Numer. Methods Partial Differ. Equations 19, No. 5, 653-664 (2003). Reviewer: Pavel Burda (Praha) MSC: 65N25 65N30 65N15 35P15 PDF BibTeX XML Cite \textit{M. G. Armentano} and \textit{R. G. Durán}, Numer. Methods Partial Differ. Equations 19, No. 5, 653--664 (2003; Zbl 1041.65086) Full Text: DOI
Hoteit, H.; Mosé, R.; Philippe, B.; Ackerer, Ph.; Erhel, J. The maximum principle violations of the mixed-hybrid finite-element method applied to diffusion equations. (English) Zbl 1062.76524 Int. J. Numer. Methods Eng. 55, No. 12, 1373-1390 (2002). MSC: 76M10 76R50 PDF BibTeX XML Cite \textit{H. Hoteit} et al., Int. J. Numer. Methods Eng. 55, No. 12, 1373--1390 (2002; Zbl 1062.76524) Full Text: DOI
Bécache, E.; Joly, P.; Tsogka, C. A new family of mixed finite elements for the linear elastodynamic problem. (English) Zbl 1032.74049 SIAM J. Numer. Anal. 39, No. 6, 2109-2132 (2002). Reviewer: Nicolae Pop (Baia Mare) MSC: 74S05 74H15 65M12 65M60 65M15 PDF BibTeX XML Cite \textit{E. Bécache} et al., SIAM J. Numer. Anal. 39, No. 6, 2109--2132 (2002; Zbl 1032.74049) Full Text: DOI
Botella, O. On a collocation B-spline method for the solution of the Navier-Stokes equations. (English) Zbl 1004.76059 Comput. Fluids 31, No. 4-7, 397-420 (2002). MSC: 76M20 76M25 76D05 PDF BibTeX XML Cite \textit{O. Botella}, Comput. Fluids 31, No. 4--7, 397--420 (2002; Zbl 1004.76059) Full Text: DOI
Fernández Bonder, Julián; Groisman, Pablo; Rossi, Julio D. On numerical blow-up sets. (English) Zbl 0986.35053 Proc. Am. Math. Soc. 130, No. 7, 2049-2055 (2002). Reviewer: Dana Petcu (Timişoara) MSC: 35K60 65M20 35B40 PDF BibTeX XML Cite \textit{J. Fernández Bonder} et al., Proc. Am. Math. Soc. 130, No. 7, 2049--2055 (2002; Zbl 0986.35053) Full Text: DOI
Cohen, G.; Joly, P.; Roberts, J. E.; Tordjman, N. Higher order triangular finite elements with mass lumping for the wave equation. (English) Zbl 1019.65077 SIAM J. Numer. Anal. 38, No. 6, 2047-2078 (2001). Reviewer: Hans Engler (Bonn) MSC: 65M60 65M12 35L05 PDF BibTeX XML Cite \textit{G. Cohen} et al., SIAM J. Numer. Anal. 38, No. 6, 2047--2078 (2001; Zbl 1019.65077) Full Text: DOI
Antúnez, Horacio J. Linear elements for metal-forming problems within the flow approach. (English) Zbl 1010.74059 Comput. Methods Appl. Mech. Eng. 190, No. 5-7, 783-801 (2000). MSC: 74S05 74C20 PDF BibTeX XML Cite \textit{H. J. Antúnez}, Comput. Methods Appl. Mech. Eng. 190, No. 5--7, 783--801 (2000; Zbl 1010.74059) Full Text: DOI
Bécache, E.; Joly, P.; Tsogka, C. An analysis of new mixed finite elements for the approximation of wave propagation problems. (English) Zbl 0958.65102 SIAM J. Numer. Anal. 37, No. 4, 1053-1084 (2000). Reviewer: L.G.Vulkov (Russe) MSC: 65M60 65M15 65M12 76Q05 76M10 35L05 PDF BibTeX XML Cite \textit{E. Bécache} et al., SIAM J. Numer. Anal. 37, No. 4, 1053--1084 (2000; Zbl 0958.65102) Full Text: DOI
Christon, Mark A. The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation. (English) Zbl 0964.76038 Comput. Methods Appl. Mech. Eng. 173, No. 1-2, 147-166 (1999). MSC: 76M10 76Q05 PDF BibTeX XML Cite \textit{M. A. Christon}, Comput. Methods Appl. Mech. Eng. 173, No. 1--2, 147--166 (1999; Zbl 0964.76038) Full Text: DOI
Chin-Joe-Kong, M. J. S.; Mulder, W. A.; van Veldhuizen, M. Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation. (English) Zbl 0948.74057 J. Eng. Math. 35, No. 4, 405-426 (1999). MSC: 74S05 74J10 65M60 86A15 PDF BibTeX XML Cite \textit{M. J. S. Chin-Joe-Kong} et al., J. Eng. Math. 35, No. 4, 405--426 (1999; Zbl 0948.74057) Full Text: DOI
Haug, E. J.; Pan, W. Optimal inertia lumping from modal mass matrices for structural dynamics. (English) Zbl 0956.74016 Comput. Methods Appl. Mech. Eng. 163, No. 1-4, 171-191 (1998). MSC: 74H15 74S05 74K99 PDF BibTeX XML Cite \textit{E. J. Haug} and \textit{W. Pan}, Comput. Methods Appl. Mech. Eng. 163, No. 1--4, 171--191 (1998; Zbl 0956.74016) Full Text: DOI
Elmkies, A.; Joly, P. Edge finite element with mass lumping for Maxwell’s equations. (English) Zbl 0940.65107 DeSanto, John A. (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1-5, 1998. Philadelphia, PA: SIAM. Proc. Appl. Math. 543-545 (1998). MSC: 65M60 35Q60 78A25 78M10 PDF BibTeX XML Cite \textit{A. Elmkies} and \textit{P. Joly}, in: Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1--5, 1998. Philadelphia, PA: SIAM. 543--545 (1998; Zbl 0940.65107)
Joly, P.; Bécache, E.; Tsogka, C. Fictitious domain method applied to the scattering by a crack of transient elastic waves in anisotropic media: A new family of mixed finite elements leading to explicit schemes. (English) Zbl 0969.74603 DeSanto, John A. (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1-5, 1998. Philadelphia, PA: SIAM. Proc. Appl. Math. 322-326 (1998). MSC: 74S05 74J20 74R10 PDF BibTeX XML Cite \textit{P. Joly} et al., in: Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1--5, 1998. Philadelphia, PA: SIAM. 322--326 (1998; Zbl 0969.74603)
Guedes, R. O. C. Conjugated problems. (English) Zbl 0931.76088 Cotta, Renato M. (ed.), The integral transform method in thermal and fluids sciences and engineering. Papers from the 2nd workshop on integral transforms held in Rio de Janeiro, Brazil, November 1996. New York, NY: Begell House, Inc. 281-297 (1998). MSC: 76R05 76M25 80A20 PDF BibTeX XML Cite \textit{R. O. C. Guedes}, in: The integral transform method in thermal and fluids sciences and engineering. Papers from the 2nd workshop on integral transforms held in Rio de Janeiro, Brazil, November 1996. New York, NY: Begell House, Inc.. 281--297 (1998; Zbl 0931.76088)
Uchiyama, Tomomi Discretization schemes of advection term in the finite element method for incompressible Navier-Stokes equation. (English) Zbl 0927.76052 Appl. Mech. Eng. 3, No. 1, 39-53 (1998). MSC: 76M10 76D05 PDF BibTeX XML Cite \textit{T. Uchiyama}, Appl. Mech. Eng. 3, No. 1, 39--53 (1998; Zbl 0927.76052)
Franca, Leopoldo P.; Farhat, Charbel; Lesoinne, Michel; Russo, Alessandro Unusual stabilized finite element methods and residual free bubbles. (English) Zbl 0904.76045 Int. J. Numer. Methods Fluids 27, No. 1-4, 159-168 (1998). MSC: 76M10 76R99 PDF BibTeX XML Cite \textit{L. P. Franca} et al., Int. J. Numer. Methods Fluids 27, No. 1--4, 159--168 (1998; Zbl 0904.76045) Full Text: DOI
Cohen, Gary; Monk, Peter Gauss point mass lumping schemes for Maxwell’s equations. (English) Zbl 0891.65130 Numer. Methods Partial Differ. Equations 14, No. 1, 63-88 (1998). Reviewer: Ll.G.Chambers (Bangor) MSC: 65Z05 35Q60 65M60 78A40 86A25 PDF BibTeX XML Cite \textit{G. Cohen} and \textit{P. Monk}, Numer. Methods Partial Differ. Equations 14, No. 1, 63--88 (1998; Zbl 0891.65130) Full Text: DOI
Elmkies, Alexandre; Joly, Patrick Edge finite elements and mass lumping for Maxwell’s equations: The 3D case. (Éléments finis d’arête et condensation de masse pour les équations de Maxwell: Le cas de dimension 3.) (French. Abridged English version) Zbl 0893.65068 C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 11, 1217-1222 (1997). MSC: 65Z05 35Q60 78A25 65M60 PDF BibTeX XML Cite \textit{A. Elmkies} and \textit{P. Joly}, C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 11, 1217--1222 (1997; Zbl 0893.65068) Full Text: DOI
Franca, Leopoldo P.; Russo, Alessandro Mass lumping emanating from residual-free bubbles. (English) Zbl 0883.65086 Comput. Methods Appl. Mech. Eng. 142, No. 3-4, 353-360 (1997). MSC: 65N30 35J25 PDF BibTeX XML Cite \textit{L. P. Franca} and \textit{A. Russo}, Comput. Methods Appl. Mech. Eng. 142, No. 3--4, 353--360 (1997; Zbl 0883.65086) Full Text: DOI
Wu, Jiankang A wave equation model to solve the multidimensional transport equation. (English) Zbl 0892.76048 Int. J. Numer. Methods Fluids 24, No. 5, 423-439 (1997). MSC: 76M10 76R10 PDF BibTeX XML Cite \textit{J. Wu}, Int. J. Numer. Methods Fluids 24, No. 5, 423--439 (1997; Zbl 0892.76048) Full Text: DOI
Elmkies, Alexandre; Joly, Patrick Edge finite elements and mass lumping for Maxwell’s equations: The 2D case. (Éléments finis d’arête et condensation de masse pour la équations de Maxwell: Le cas 2D.) (French. Abridged English version) Zbl 0877.65081 C. R. Acad. Sci., Paris, Sér. I 324, No. 11, 1287-1293 (1997). MSC: 65Z05 65M60 35Q60 78A25 PDF BibTeX XML Cite \textit{A. Elmkies} and \textit{P. Joly}, C. R. Acad. Sci., Paris, Sér. I 324, No. 11, 1287--1293 (1997; Zbl 0877.65081) Full Text: DOI
Bécache, Éliane; Joly, Patrick; Tsogka, Chrysoula Construction and analysis of a new mixed finite element allowing mass lumping. (Étude d’un nouvel élément fini mixte permettant la condensation de masse.) (French. Abridged English version) Zbl 0877.65072 C. R. Acad. Sci., Paris, Sér. I 324, No. 11, 1281-1286 (1997). MSC: 65N30 35J25 65N15 PDF BibTeX XML Cite \textit{É. Bécache} et al., C. R. Acad. Sci., Paris, Sér. I 324, No. 11, 1281--1286 (1997; Zbl 0877.65072) Full Text: DOI
Franca, L. P.; Russo, A. Deriving upwinding, mass lumping and selective reduced integration by residual-free bubbles. (English) Zbl 0903.65082 Appl. Math. Lett. 9, No. 5, 83-88 (1996). MSC: 65N30 35J25 PDF BibTeX XML Cite \textit{L. P. Franca} and \textit{A. Russo}, Appl. Math. Lett. 9, No. 5, 83--88 (1996; Zbl 0903.65082) Full Text: DOI
Grosh, Karl; Pinsky, Peter M. Design of Galerkin generalized least squares methods for Timoshenko beams. (English) Zbl 0890.73065 Comput. Methods Appl. Mech. Eng. 132, No. 1-2, 1-16 (1996). MSC: 74S05 74K10 PDF BibTeX XML Cite \textit{K. Grosh} and \textit{P. M. Pinsky}, Comput. Methods Appl. Mech. Eng. 132, No. 1--2, 1--16 (1996; Zbl 0890.73065) 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 PDF BibTeX XML Cite \textit{G. Cohen} and \textit{P. Monk}, in: 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; Zbl 0870.65117)
Hansbo, Peter Aspects of conservation in finite element flow computations. (English) Zbl 0847.76034 Comput. Methods Appl. Mech. Eng. 117, No. 3-4, 423-437 (1994). MSC: 76M10 PDF BibTeX XML Cite \textit{P. Hansbo}, Comput. Methods Appl. Mech. Eng. 117, No. 3--4, 423--437 (1994; Zbl 0847.76034) Full Text: DOI
Cohen, Gary; Joly, Patrick; Tordjman, Nathalie Higher-order finite elements with mass-lumping for the 1D wave equation. (English) Zbl 0865.65072 Finite Elem. Anal. Des. 16, No. 3-4, 329-336 (1994). MSC: 65M60 35L15 65M12 PDF BibTeX XML Cite \textit{G. Cohen} et al., Finite Elem. Anal. Des. 16, No. 3--4, 329--336 (1994; Zbl 0865.65072) Full Text: DOI
El Dabaghi, Fadi Finite element solutions and full \(2^{nd}\) order absorbing boundary conditions for 2D unsteady Maxwell equations. (English) Zbl 0814.65126 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. 207-216 (1993). MSC: 65Z05 65M60 35Q60 78A25 PDF BibTeX XML Cite \textit{F. El Dabaghi}, in: 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. 207--216 (1993; Zbl 0814.65126)
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 PDF BibTeX XML Cite \textit{G. Cohen} et al., in: 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; Zbl 0814.65096)
Ben-Zvi, R.; Perl, M.; Libai, A. A curved axisymmetric shell element for nonlinear dynamic elastoplastic problems. II: Implementation and results. (English) Zbl 0755.73088 Comput. Struct. 42, No. 4, 641-648 (1992). MSC: 74S05 74K15 74S20 PDF BibTeX XML Cite \textit{R. Ben-Zvi} et al., Comput. Struct. 42, No. 4, 641--648 (1992; Zbl 0755.73088) Full Text: DOI
Rezayat, Mohsen Fast decomposition of matrices generated by the boundary element method. (English) Zbl 0829.65043 Int. J. Numer. Methods Eng. 33, No. 6, 1109-1118 (1992). MSC: 65F30 65N38 80A20 PDF BibTeX XML Cite \textit{M. Rezayat}, Int. J. Numer. Methods Eng. 33, No. 6, 1109--1118 (1992; Zbl 0829.65043) Full Text: DOI