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Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11–15, 2004. (English) Zbl 1097.65003

The IMA Volumes in Mathematics and its Applications 142. New York, NY: Springer (ISBN 0-387-30916-0/hbk). xiv, 238 p. (2006).

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The articles of this volume will be reviewed individually.
Indexed articles:
Aavatsmark, Ivar; Eigestad, Geir Terje; Klausen, Runhild Aae, Numerical convergence of the MPFA \(O\)-method for general quadrilateral grids in two and three dimensions, 1-21 [Zbl 1110.65106]
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar, Differential complexes and stability of finite element methods. I: The de Rham complex, 23-46 [Zbl 1119.65398]
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar, Differential complexes and stability of finite element methods. II: The elasticity complex, 47-67 [Zbl 1119.65399]
Barth, Timothy, On the role of involutions in the discontinuous Galerkin discretization of Maxwell and magnetohydrodynamic systems, 69-88 [Zbl 1135.78008]
Bochev, Pavel B.; Hyman, James M., Principles of mimetic discretizations of differential operators, 89-119 [Zbl 1110.65103]
Boffi, Daniele, Compatible discretizations for eigenvalue problems, 121-142 [Zbl 1110.65104]
Demkowicz, L.; Kurtz, J., Conjugated Bubnov-Galerkin infinite element for Maxwell equations, 143-159 [Zbl 1135.78009]
Nicolaides, R. A.; Trapp, K. A., Covolume discretization of differential forms, 161-171 [Zbl 1110.65024]
Blair Perot, J.; Vidovic, Dragan; Wesseling, Pieter, Mimetic reconstruction of vectors, 173-188 [Zbl 1110.65108]
Wheeler, Mary F.; Yotov, Ivan, A cell-centered finite difference method on quadrilaterals, 189-207 [Zbl 1110.65099]
White, Daniel A.; Koning, Joseph M.; Rieben, Robert N., Development and application of compatible discretizations of Maxwell’s equations, 209-234 [Zbl 1135.78011]

MSC:

65-06 Proceedings, conferences, collections, etc. pertaining to numerical analysis
35-06 Proceedings, conferences, collections, etc. pertaining to partial differential equations
00B25 Proceedings of conferences of miscellaneous specific interest
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