المؤلفون: Brandner, Marek, Knobloch, Petr

مصطلحات موضوعية: keyword:convection, keyword:diffusion, keyword:stabilization, keyword:finite element method, keyword:finite volume method, keyword:finite difference method, msc:65M06, msc:65M08, msc:65M12, msc:65M60, msc:65N06, msc:65N08, msc:65N12, msc:65N30, msc:76Rxx

وصف الملف: application/pdf

الاتاحة: http://hdl.handle.net/10338.dmlcz/703069

المؤلفون: Yang, Yun-Bo, Jiang, Yao-Lin, Kong, Qiong-Xiang

مصطلحات موضوعية: keyword:magnetohydrodynamics equations, keyword:pressure segregation method, keyword:higher order scheme, keyword:stability, keyword:error estimate, msc:65N12, msc:65N15, msc:65N30

وصف الملف: application/pdf

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Modelling 39 (2015), 1889-1898 \99999DOI99999 10.1016/j.apm.2014.10.007 \goodbreak. MR 3325585, 10.1016/j.apm.2014.10.007

الاتاحة: http://hdl.handle.net/10338.dmlcz/147849

المؤلفون: Valášek, Jan, Sváček, Petr, Horáček, Jaromír

مصطلحات موضوعية: keyword:flow-induced vibration, keyword:2D incompressible Navier-Stokes equations, keyword:linear elasticity, keyword:inlet boundary conditions, keyword:flutter instability, msc:65N12, msc:65N30, msc:76D05

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/147662

المؤلفون: Imoto, Yusuke

مصطلحات موضوعية: keyword:generalized particle method, keyword:Poisson equation, keyword:unique solvability, keyword:stability, keyword:discrete Sobolev norm, msc:65M12, msc:65N12, msc:65N75

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/147593

المؤلفون: König, Sergej, Varnhorn, Werner

مصطلحات موضوعية: Approximate approximations, boundary point method, Stokes potentials, ddc:510, msc:31B10, msc:35J05, msc:41A30, msc:65N12, msc:76D07

وصف الملف: 148137 bytes; application/pdf

Relation: http://nbn-resolving.org/urn:nbn:de:hebis:34-2007041717711; urn:nbn:de:hebis:34-2007041717711

الاتاحة: http://nbn-resolving.org/urn:nbn:de:hebis:34-2007041717711
https://nbn-resolving.org/urn:nbn:de:hebis:34-2007041717711

المؤلفون: Samrowski, Tatiana S., Varnhorn, Werner

مصطلحات موضوعية: Approximate approximations, volume potentials, Poisson equation, Stokes system, ddc:510, msc:31B10, msc:35J05, msc:41A30, msc:65N12, msc:76D07

وصف الملف: 193118 bytes; application/pdf

Relation: urn:nbn:de:hebis:2006110215417; http://nbn-resolving.org/urn:nbn:de:hebis:34-2007032817552; urn:nbn:de:hebis:34-2007032817552

الاتاحة: http://nbn-resolving.org/urn:nbn:de:hebis:34-2007032817552
https://nbn-resolving.org/urn:nbn:de:hebis:34-2007032817552

المؤلفون: Verfürth, Barbara

مصطلحات موضوعية: keyword:Multiscale method, wave propagation, Maxwell’s equations, finite element method, msc:35Q61, msc:65N12, msc:65N15, msc:65N30, msc:78M10

وصف الملف: application/pdf

Relation: reference:[1] Abdulle, A., Henning, P.: Localized orthogonal decomposition method for the wave equation with a continuum of scales., Math. Comp., 86 (2017), pp. 549–587. MR 3584540, 10.1090/mcom/3114; reference:[2] Babuška, I. M., Sauter, S. A.: Is the pollution effect avoidable for the Helmholtz equation considering high wave numbers?., SIAM Rev., 42 (2000), pp. 451–484. MR 1786934; reference:[3] Jr., P. Ciarlet, Fliss, S., HASH(0x2ad2750), Stohrer, C.: On the approximation of electromagnetic fields by edge finite elements. Part 2: A heterogeneous multiscale method for Maxwell’s equations, Comput. Math. Appl., 73 (2017), pp. 1900–1919. MR 3634959, 10.1016/j.camwa.2017.02.043; reference:[4] Falk, R. S., Winther, R.: Local bounded cochain projections., Math. Comp., 83 (2014), pp. 2631–2656. MR 3246803, 10.1090/S0025-5718-2014-02827-5; reference:[5] Gallistl, D., Henning, P., HASH(0x2ad4f60), Verf\"urth, B.: Numerical homogenization of H(curl)-problems., arXiv:1706.02966 (2017), preprint. MR 3810505; reference:[6] Gallistl, D., Peterseim, D.: Stable multiscale Petrov-Galerkin finite element method for high frequency acoustic scattering., Comp. Appl. Mech. Eng., 295 (2015), pp. 1–17. MR 3388822, 10.1016/j.cma.2015.06.017; reference:[7] Hellman, F., P.Henning, HASH(0x2ad7fe0), M{\aa}lqvist, A.: Multiscale mixed finite elements., Discr. Contin. Dyn. Syst. Ser. S, 9 (2016), pp. 1269–1298. MR 3591945, 10.3934/dcdss.2016051; reference:[8] Henning, P., M{\aa}lqvist, A.: Localized orthogonal decomposition techniques for boundary value problems., SIAM J. Sci. Comput., 36 (2014), pp. A1609–A1634. MR 3240855, 10.1137/130933198; reference:[9] Henning, P., Ohlberger, M., HASH(0x2adb738), Verf\"urth, B.: A new Heterogeneous Multiscale Method for time-harmonic Maxwell’s equations., SIAM J. Numer. Anal., 54 (2016), pp. 3493–3522. MR 3578028, 10.1137/15M1039225; reference:[10] Henning, P., Ohlberger, M., HASH(0x2adc158), Verf\"urth, B.: Analysis of multiscale methods for time harmonic Maxwell’s equations., Pro. Appl. Math. Mech., 16 (2016), pp. 559–560. MR 3578028, 10.1002/pamm.201610268; reference:[11] Hiptmair, R.: Maxwell equations: continuous and discrete., in Computational Electromagnetism, A. Bermúdez de Castro and A. Valli, eds., Lecture Notes in Mathematics, Springer, Cham, 2015, pp. 1–58. MR 3382059; reference:[12] M{\aa}lqvist, A., Peterseim, D.: Localization of elliptic multiscale problems., Math. Comp., 83 (2014), pp. 2583–2603. MR 3246801, 10.1090/S0025-5718-2014-02868-8; reference:[13] Moiola, A.: Trefftz-Discontinuous Galerkin methods for time-harmonic wave problems., PhD thesis, ETH Z\"urich, 2011.; reference:[14] Monk, P.: Finite element methods for Maxwell’s equation., Numerical Mathematics and Scientific Computation, Oxford University Press, New York, 2003. MR 2059447; reference:[15] Ohlberger, M., Verf\"urth, B.: Localized Orthogonal Decomposition for two-scale Helmholtz-type problems., AIMS Mathematics, 2 (2017), pp. 458–478. 10.3934/Math.2017.2.458; reference:[16] Peterseim, D.: Eliminating the pollution effect by local subscale correction., Math. Comp., 86(2017), pp. 1005–1036. MR 3614010, 10.1090/mcom/3156; reference:[17] Wellander, N., Kristensson, G.: Homogenization of the Maxwell equations at fixed frequency., AIAM J. Appl. Math., 64 (2003), pp. 170–195. MR 2029130, 10.1137/S0036139902403366

الاتاحة: http://hdl.handle.net/10338.dmlcz/703038

المؤلفون: Khademi, Ali, Korotov, Sergey, Vatne, Jon Eivind

مصطلحات موضوعية: keyword:prismatic finite element, keyword:interpolation error, keyword:semiregular family of prismatic partitions, msc:65N12, msc:65N15, msc:65N30, msc:65N50

وصف الملف: application/pdf

Relation: mr:MR3833659; zbl:Zbl 06945731; reference:[1] Apel, T.: Anisotropic Finite Elements: Local Estimates and Applications.Advances in Numerical Mathematics, Teubner, Leipzig; Technische Univ., Chemnitz (1999). Zbl 0934.65121, MR 1716824; reference:[2] Apel, T., Dobrowolski, M.: Anisotropic interpolation with applications to the finite element method.Computing 47 (1992), 277-293. Zbl 0746.65077, MR 1155498, 10.1007/BF02320197; reference:[3] Atkinson, K. E.: An Introduction to Numerical Analysis.John Wiley & Sons, New York (1978). Zbl 0402.65001, MR 0504339; reference:[4] Babuška, I., Aziz, A. K.: On the angle condition in the finite element method.SIAM J. Numer. Anal. 13 (1976), 214-226. Zbl 0324.65046, MR 0455462, 10.1137/0713021; reference:[5] Barnhill, R. E., Gregory, J. A.: Sard kernel theorems on triangular domains with application to finite element error bounds.Numer. Math. 25 (1976), 215-229. 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الاتاحة: http://hdl.handle.net/10338.dmlcz/147309

المؤلفون: Tang, Yaozong, Li, Xiaolin

مصطلحات موضوعية: keyword:meshless, keyword:element-free Galerkin method, keyword:hyperbolic partial differential equation, keyword:error estimate, keyword:convergence, msc:65M60, msc:65N12, msc:65N30

وصف الملف: application/pdf

Relation: mr:MR3722900; zbl:Zbl 06819517; reference:[1] Abbasbandy, S., Ghehsareh, H. Roohani, Hashim, I., Alsaedi, A.: A comparison study of meshfree techniques for solving the two-dimensional linear hyperbolic telegraph equation.Eng. Anal. Bound. Elem. 47 (2014), 10-20. Zbl 1297.65125, MR 3233886, 10.1016/j.enganabound.2014.04.006; reference:[2] Belytschko, T., Lu, Y. Y., Gu, L.: Element-free Galerkin methods.Int. J. Numer. Methods Eng. 37 (1994), 229-256. Zbl 0796.73077, MR 1256818, 10.1002/nme.1620370205; reference:[3] Berger, M. J., Oliger, J.: Adaptive mesh refinement for hyperbolic partial differential equations.J. Comput. Phys. 53 (1984), 484-512. Zbl 0536.65071, MR 0739112, 10.1016/0021-9991(84)90073-1; reference:[4] Cheng, Y. M.: Meshless Methods.Science Press, Beijing (2015), Chinese.; reference:[5] Cheng, R.-J., Ge, H.-X.: Element-free Galerkin (EFG) method for a kind of two-dimensional linear hyperbolic equation.Chin. Phys. 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الاتاحة: http://hdl.handle.net/10338.dmlcz/146917

المؤلفون: Oswald, Peter

مصطلحات موضوعية: keyword:nonconforming P1 element, keyword:lowest order Raviart-Thomas element, keyword:discrete energy norm estimate, keyword:divergence of finite element method, keyword:maximum angle condition, keyword:distorted triangulation, msc:65N12, msc:65N15, msc:65N30

وصف الملف: application/pdf

Relation: mr:MR3722898; zbl:Zbl 06819515; reference:[1] Acosta, G., Durán, R. G.: The maximum angle condition for mixed and nonconforming elements: Application to the Stokes equations.SIAM J. Numer. Anal. 37 (1999), 18-36. Zbl 0948.65115, MR 1721268, 10.1137/S0036142997331293; reference:[2] Babuška, I., Aziz, A. K.: On the angle condition in the finite element method.SIAM J. Numer. Anal. 13 (1976), 214-226. Zbl 0324.65046, MR 0455462, 10.1137/0713021; reference:[3] Braess, D.: Finite Elements. Theory, Fast Solvers and Applications in Solid Mechanics.Cambridge University Press, Cambridge (2007). Zbl 1118.65117, MR 2322235, 10.1017/CBO9780511618635; reference:[4] Braess, D.: An a posteriori error estimate and a comparison theorem for the nonconforming $P_1$ element.Calcolo 46 (2009), 149-155. Zbl 1192.65142, MR 2520373, 10.1007/s10092-009-0003-z; reference:[5] Brenner, S. C.: Poincaré-Friedrichs inequalities for piecewise $H^1$ functions.SIAM J. Numer. Anal. 41 (2003), 306-324. Zbl 1045.65100, MR 1974504, 10.1137/S0036142902401311; reference:[6] Brenner, S. C., Scott, L. R.: The Mathematical Theory of Finite Element Methods.Texts in Applied Mathematics 15, Springer, New York (2008). Zbl 0804.65101, MR 2373954, 10.1007/978-0-387-75934-0; reference:[7] Carstensen, C., Gedicke, J., Rim, D.: Explicit error estimates for Courant, Crouzeix-Raviart and Raviart-Thomas finite element methods.J. Comput. Math. 30 (2012), 337-353. Zbl 1274.65290, MR 2965987, 10.4208/jcm.1108-m3677; reference:[8] Carstensen, C., Peterseim, D., Schedensack, M.: Comparison results of finite element methods for the Poisson model problem.SIAM J. Numer. Anal. 50 (2012), 2803-2823. Zbl 1261.65115, MR 3022243, 10.1137/110845707; reference:[9] Crouzeix, M., Raviart, P.-A.: Conforming and nonconforming finite element methods for solving the stationary Stokes equations I.Rev. Franc. Automat. Inform. Rech. Operat. 7 (1973), 33-76. Zbl 0302.65087, MR 0343661, 10.1051/m2an/197307R300331; reference:[10] Hannukainen, A., Korotov, S., Křížek, M.: The maximum angle condition is not necessary for convergence of the finite element method.Numer. Math. 120 (2012), 79-88. Zbl 1255.65196, MR 2885598, 10.1007/s00211-011-0403-2; reference:[11] Jamet, P.: Estimations d'erreur pour des éléments finis droits presque dégénérés.Rev. Franc. Automat. Inform. Rech. Operat. 10, Analyse Numer. 10 (1976), 43-60. Zbl 0346.65052, MR 0455282, 10.1051/m2an/197610r100431; reference:[12] Kučera, V.: On necessary and sufficient conditions for finite element convergence.arXiv:1601.02942 (2016). MR 3700195; reference:[13] Marini, L. D.: An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method.SIAM J. Numer. Anal. 22 (1985), 493-496. Zbl 0573.65082, MR 0787572, 10.1137/0722029; reference:[14] Oswald, P.: Divergence of FEM: Babuška-Aziz triangulatiuons revisited.Appl. Math., Praha 60 (2015), 473-484. Zbl 1363.65202, MR 3396476, 10.1007/s10492-015-0107-5; reference:[15] Raviart, P.-A., Thomas, J. M.: A mixed finite element method for 2nd order elliptic problems.Mathematical Aspects of Finite Element Method I. Galligani, E. Magenes Proc. Conf., Rome, 1975, Lect. Notes Math. 606, Springer, New York (1977), 292-315. Zbl 0362.65089, MR 0483555, 10.1007/bfb0064470; reference:[16] Schwarz, H. A.: Sur une définition erroneé de l'aire d'une surface courbe.Gesammelte Mathematische Abhandlungen 2 Springer, Berlin (1890), 309-311, 369-370.; reference:[17] Vohralík, M.: On the discrete Poincaré-Friedrichs inequalities for nonconforming approximations of the Sobolev space $H^1$.Numer. Funct. Anal. Optimization 26 (2005), 925-952. Zbl 1089.65124, MR 2192029, 10.1080/01630560500444533

الاتاحة: http://hdl.handle.net/10338.dmlcz/146914

المؤلفون: Yang, Yun-Bo, Kong, Qiong-Xiang

مصطلحات موضوعية: keyword:Navier-Stokes equation, keyword:finite element method, keyword:variational multiscale, keyword:two local Gauss integrations, keyword:error correction method, msc:65N12, msc:65N15, msc:65N30, msc:76D05, msc:76M10

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/145990

المؤلفون: Hannukainen, Antti, Korotov, Sergey, Křížek, Michal

مصطلحات موضوعية: keyword:simplicial element, keyword:maximum angle condition, keyword:interpolation error, keyword:higher-dimensional problem, keyword:$d$-dimensional sine, keyword:semiregular family of simplicial partitions, msc:65N12, msc:65N15, msc:65N30, msc:65N50

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/145984

المؤلفون: Hu, Xiaohui, Huang, Pengzhan, Feng, Xinlong

مصطلحات موضوعية: keyword:Burgers' equation, keyword:mixed finite element method, keyword:stable conforming finite element, keyword:Crank-Nicolson scheme, keyword:inf-sup condition, msc:35Q30, msc:65B05, msc:65N12, msc:65N30

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/144810

المؤلفون: Brousek, Jan, Fraňková, Pavla, Vaněk, Petr

مصطلحات موضوعية: keyword:smoothed aggregation, keyword:improved convergence bound, msc:65F10, msc:65N12, msc:65N55

وصف الملف: application/pdf

Relation: mr:MR3556870; zbl:Zbl 06644036; reference:[1] Bramble, J. H., Pasciak, J. E., Wang, J., Xu, J.: Convergence estimates for multigrid algorithms without regularity assumptions.Math. Comput. 57 (1991), 23-45. Zbl 0727.65101, MR 1079008, 10.1090/S0025-5718-1991-1079008-4; reference:[2] Brezina, M., Vaněk, P., Vassilevski, P. S.: An improved convergence analysis of smoothed aggregation algebraic multigrid.Numer. Linear Algebra Appl. 19 (2012), 441-469. Zbl 1274.65315, MR 2911383, 10.1002/nla.775; reference:[3] Fraňková, P., Mandel, J., Vaněk, P.: Model analysis of BPX preconditioner based on smoothed aggregations.Appl. Math., Praha 60 (2015), 219-250. MR 3419960, 10.1007/s10492-015-0093-7; reference:[4] Vaněk, P.: Fast multigrid solver.Appl. Math., Praha 40 (1995), 1-20. Zbl 0824.65016, MR 1305645; reference:[5] Vaněk, P.: Acceleration of convergence of a two-level algorithm by smoothing transfer operator.Appl. Math., Praha 37 (1992), 265-274. MR 1180605; reference:[6] Vaněk, P., Brezina, M.: Nearly optimal convergence result for multigrid with aggressive coarsening and polynomial smoothing.Appl. Math., Praha 58 (2013), 369-388. Zbl 1289.65064, MR 3083519, 10.1007/s10492-013-0018-2; reference:[7] Vaněk, P., Brezina, M., Mandel, J.: Convergence of algebraic multigrid based on smoothed aggregations.Numer. Math. 88 (2001), 559-579. MR 1835471, 10.1007/s211-001-8015-y; reference:[8] Vaněk, P., Brezina, M., Tezaur, R.: Two-grid method for linear elasticity on unstructured meshes.SIAM J. Sci Comput. 21 (1999), 900-923. MR 1755171, 10.1137/S1064827596297112; reference:[9] Vaněk, P., Mandel, J., Brezina, R.: Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems.Computing 56 (1996), 179-196. MR 1393006, 10.1007/BF02238511

الاتاحة: http://hdl.handle.net/10338.dmlcz/145874

المؤلفون: Gerardo-Giorda, Luca

مصطلحات موضوعية: keyword:finite elements, keyword:convergence, keyword:stability, keyword:parabolic problem, msc:65N12, msc:65N30, msc:92D25

وصف الملف: application/pdf

Relation: mr:MR3204433; zbl:Zbl 1340.92046

الاتاحة: http://hdl.handle.net/10338.dmlcz/702934

المؤلفون: Zhang, Tie, Zhang, Shuhua, Azari, Hossein

مصطلحات موضوعية: keyword:finite element approximation, keyword:a priori error estimates, keyword:a posteriori error estimates, keyword:numerical examples, keyword:variational inequality, keyword:stability, msc:49J40, msc:49M25, msc:65K15, msc:65N12, msc:65N15, msc:65N30

وصف الملف: application/pdf

Relation: mr:MR3204423; zbl:Zbl 1313.65176

الاتاحة: http://hdl.handle.net/10338.dmlcz/702917

المؤلفون: Ludwig, Lars, Roos, Hans-Görg

مصطلحات موضوعية: keyword:singular perturbation, keyword:finite element method, keyword:convection-diffusion boundary value problem, keyword:superconvergence, keyword:supercloseness, msc:35B25, msc:35J25, msc:65N12, msc:65N15, msc:65N30

وصف الملف: application/pdf

Relation: mr:MR3204410; zbl:Zbl 1313.65292

الاتاحة: http://hdl.handle.net/10338.dmlcz/702903

المؤلفون: Dai, Xiaoying, He, Lianhua, Zhou, Aihui

مصطلحات موضوعية: keyword:adaptive finite element method, keyword:elliptic partial differential equations, keyword:perturbation argument, keyword:boundary value problem, keyword:eigenvalue problem, keyword:convergence, keyword:nonlinear boundary value problem, keyword:nonlinear eigenvalue problem, msc:35J25, msc:35J60, msc:35P15, msc:35P30, msc:65N12, msc:65N25, msc:65N30

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Relation: mr:MR3204453; zbl:Zbl 1313.65300

الاتاحة: http://hdl.handle.net/10338.dmlcz/702893

المؤلفون: Oswald, Peter

مصطلحات موضوعية: keyword:finite elements, keyword:error bounds, keyword:divergence, keyword:maximum angle condition, keyword:triangulation, msc:65N12, msc:65N15, msc:65N30

وصف الملف: application/pdf

Relation: mr:MR3396476; zbl:Zbl 06486921; reference:[1] Apel, T.: Anisotropic Finite Elements: Local Estimates and Applications.Advances in Numerical Mathematics Teubner, Leipzig; Technische Univ., Chemnitz (1999). Zbl 0934.65121, MR 1716824; reference:[2] Babuška, I., Aziz, A. K.: On the angle condition in the finite element method.SIAM J. Numer. Anal. 13 (1976), 214-226. Zbl 0324.65046, MR 0455462, 10.1137/0713021; reference:[3] Bank, R. E., Yserentant, H.: A note on interpolation, best approximation, and the saturation property.Numer. Math. (2014), doi:10.1007/s00211-014-0687-0. MR 3383332, 10.1007/s00211-014-0687-0; reference:[4] Hannukainen, A., Juntunen, M., Huhtala, A.: Finite Element Methods I, course notes A.Mat-1.3650, Univ. Helsinki, 2015.; reference:[5] Hannukainen, A., Korotov, S., Křížek, M.: The maximum angle condition is not necessary for convergence of the finite element method.Numer. Math. 120 (2012), 79-88. Zbl 1255.65196, MR 2885598, 10.1007/s00211-011-0403-2; reference:[6] Jamet, P.: Estimations d'erreur pour des éléments finis droits presque dégénérés.Rev. Franc. Automat. Inform. Rech. Operat. {\it 10}, Analyse numer., R-1 (1976), 43-60. MR 0455282; reference:[7] Kobayashi, K., Tsuchiya, T.: A Babuška-Aziz type proof of the circumradius condition.Japan J. Ind. Appl. Math. 31 (2014), 193-210. Zbl 1295.65011, MR 3167084, 10.1007/s13160-013-0128-y; reference:[8] Křížek, M.: On semiregular families of triangulations and linear interpolation.Appl. Math., Praha 36 (1991), 223-232. Zbl 0728.41003, MR 1109126; reference:[9] Ludwig, L.: A discussion on the maximum angle condition/counterexample for the convergence of the FEM.Manuscript, TU Dresden, 2011.; reference:[10] Schwarz, H. A.: Sur une définition erroneé de l'aire d'une surface courbe.Gesammelte Mathematische Abhandlungen, vol. 2 Springer, Berlin (1890), 309-311, 369-370.

الاتاحة: http://hdl.handle.net/10338.dmlcz/144387

المؤلفون: Eymard, R., Gallouët, T., Herbin, R., Latché, J.-C.

مصطلحات موضوعية: msc:65M12, msc:65N12, msc:76D05, msc:76D07, msc:76M12

وصف الملف: application/pdf

الاتاحة: http://hdl.handle.net/10338.dmlcz/700386