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References
Adams, R.A.: Sobolev Spaces. New York et al., Academic Press 1975
Cattabriga, L.: Su un Problema al Contorno Relativo al Sistema di Equazioni di Stokes. Sem. Mat. Univ. Padova 31 (1964) 308–340
Girault, V., Raviart, P.A.: Finite Element Approximation of the Navier-Stokes Equations. Berlin et al., Springer 1979
Heywood, J.G., Rannacher, R.: Finite Element Approximation of the Nonstationary Navier-Stokes Problem. II. Stability of Solutions and Error Estimates Uniform in Time. Siam J. Numer. Anal. 23 (1986) 750–777
Hopf, E.: Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Math. Nachr. 4 (1951) 213–231
Kaniel, S., Shinbrot, M.: The Initial Value Problem for the Navier-Stokes Equations. Arch. Rat. Anal. 21 (1966) 270–285
Lax, P.D., Richtmeyer, R.D.: Survey of the Stability of Linear Finite Difference Equations. Com. Pure Appl. Math. 9 (1956) 267–293
Rautmann, R.: Zur Konvergenz des Rothe-Verfahrens für instationäre Stokes-Probleme in dreidimensionalen Gebieten. Z. Angew. Math. Mech. (ZAMM) 64 (1984) T387–T388
Temam, R.: Navier-Stokes Equations. Amsterdam et al., North Holland 1977
Varnhorn, W.: Zur Numerik der Gleichungen von Navier-Stokes. Universität Paderborn, Dissertation 1985
Varnhorn, W.: Time Stepping Procedures for the Nonstationary Stokes Equations. Preprint 1353 Technische Hochschule Darmstadt (1991) 1–20 (to appear in Math. Meth. Appl. Sci)
Varnhorn, W.: Time Delay and Finite Differences for the Nonstationary Nonlinear Navier-Stokes Equations. Preprint 1359 Technische Hochschule Darmstadt (1991) 1–27 (to appear in Math. Meth. Appl. Sci)
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Varnhorn, W. (1992). A fractional step method for regularized Navier-Stokes equations. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations II — Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1530. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090343
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DOI: https://doi.org/10.1007/BFb0090343
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