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  • 1
    Electronic Resource
    Electronic Resource
    AnL 2-error estimate for an approximation of the solution of a parabolic variational inequality (1990)
    Springer
    Numerische Mathematik 57 (1990), S. 453-471 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65N30 ; CR: G1.8
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We estimate the order of the difference between the numerical approximation and the solution of a parabolic variational inequality. The numerical approximation is obtained using a finite element discretization in space and a finite difference discretization in time which is more general than is used in the literature. We obtain better error estimates than those given in the literature. The error estimates are compared with numerical experiments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01386423
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  • 2
    Electronic Resource
    Electronic Resource
    Curie temperatures of some tetrabromochromates(II)
    Amsterdam : Elsevier
    Inorganica Chimica Acta 54 (1981), S. L261-L262 
    Details
    ISSN: 0020-1693
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/S0020-1693(00)95454-9
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  • 3
    Electronic Resource
    Electronic Resource
    Numerical solution of an etching problem
    Amsterdam : Elsevier
    Journal of Computational Physics 59 (1985), S. 247-263 
    Details
    ISSN: 0021-9991
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Computer Science , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1016/0021-9991(85)90145-7
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  • 4
    Electronic Resource
    Electronic Resource
    A staggered scheme for hyperbolic conservation laws applied to unsteady sheet cavitation (1999)
    Springer
    Computing and visualization in science 2 (1999), S. 63-68 
    Details
    ISSN: 1433-0369
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. We demonstrate the advantages of discretizing on a staggered grid for the computation of solutions to hyperbolic systems of conservation laws arising from instationary flow of an inviscid fluid with an arbitrary equation of state. Results for a highly nonlinear, nonconvex equation of state obtained with the staggered discretisation are compared with those obtained with the Osher scheme for two different Riemann problems. The staggered approach is shown to be superior in simplicity and efficiency, without loss of accuracy. The method has been applied to simulate unsteady sheet cavitation on a NACA0012 hydrofoil. Results show good agreement with those obtained with a cavity interface tracking method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s007910050028
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  • 5
    Electronic Resource
    Electronic Resource
    A conserving discretization for a Stefan problem with an interface reaction at the free boundary (2000)
    Springer
    Computing and visualization in science 3 (2000), S. 109-114 
    Details
    ISSN: 1433-0369
    Keywords: PACS: 35R35, 65M60, 80A22
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. The dissolution of an Al2Cu particle is considered. A characteristic property is that initially the particle has a non-smooth boundary. Furthermore the dissolution may be controlled by an interface reaction. The mathematical model of this dissolution process contains a description of the particle interface, of which the position varies in time. Such a model is called a Stefan problem. We use the finite element method to solve this problem numerically. The displacement of the free boundary is computed by a method based on the balance of atoms. This method leads to good results, also for non-smooth boundaries. Some numerical experiments are given for the dissolution of an Al2Cu particle in an Al-Cu alloy, with a varying rate of the interface reaction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s007910050058
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  • 6
    Electronic Resource
    Electronic Resource
    Numerical solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods (1995)
    Springer
    Advances in computational mathematics 4 (1995), S. 27-49 
    Details
    ISSN: 1572-9044
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider numerical solution methods for the incompressible Navier-Stokes equations discretized by a finite volume method on staggered grids in general coordinates. We use Krylov subspace and multigrid methods as well as their combinations. Numerical experiments are carried out on a scalar and a vector computer. Robustness and efficiency of these methods are studied. It appears that good methods result from suitable combinations of GCR and multigrid methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02123472
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  • 7
    Electronic Resource
    Electronic Resource
    Solution of the discretized incompressible Navier-Stokes equations with the GMRES method (1993)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 16 (1993), S. 507-523 
    Details
    ISSN: 0271-2091
    Keywords: Navier-Stokes equations ; Incompressible boundary-fitted co-ordinates ; Non-symmetric linear systems ; Iterative solver ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We describe some experiences using interative solution methods of GMRES type to solve the discretized Navier-Stokes equations. The discretization combined with a pressure correction scheme leads to two different systems of equations: the momentum equations and the pressure equation. It appears that a fast solution method for the pressure equation is obtained by applying the recently proposed GMRESR method, or GMRES combined with a MILU preconditioner. The diagonally scaled momentum equations are solved by GMRES(m), a restarted version of GMRES.
    Additional Material: 14 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650160605
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  • 8
    Electronic Resource
    Electronic Resource
    FAST ITERATIVE SOLVERS FOR THE DISCRETIZED INCOMPRESSIBLE NAVIER-STOKES EQUATIONS (1996)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 22 (1996), S. 195-210 
    Details
    ISSN: 0271-2091
    Keywords: incompressible Navier-Stokes equations ; non-symmetric linear system ; preconditioning ; vector computer ; iterative solver ; GMRESR ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: In this paper some iterative solution methods of the GMRES type for the discretized Navier-Stokes equations are treated. The discretization combined with a pressure correction scheme leads to two different types of systems of linear equations: the momentum system and the pressure system. These systems may be coupled to one or more transport equations. For every system we specify a particular ILU-type preconditioner and show how to vectorize these preconditions. Finally, some numerical experiments to show the efficiency of the proposed methods are presented.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 9
    Electronic Resource
    Electronic Resource
    Domain decomposition for the incompressible Navier-Stokes equations: solving subdomain problems accurately and inaccurately (1998)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 26 (1998), S. 1217-1237 
    Details
    ISSN: 0271-2091
    Keywords: domain decomposition ; GCR ; Krylov-Schwarz ; incompressible Navier-Stokes ; boundary-fitted co-ordinates ; finite volume ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: For the solution of practical flow problems in arbitrarily shaped domains, simple Schwarz domain decomposition methods with minimal overlap are quite efficient, provided Krylov subspace methods, e.g. the GMRES method, are used to accelerate convergence. With an accurate subdomain solution, the amount of time spent solving these problems may be quite large. To reduce computing time, an inaccurate solution of subdomain problems is considered, which requires a GCR-based acceleration technique. Much emphasis is put on the multiplicative domain decomposition algorithm since we also want an algorithm which is fast on a single processor. Nevertheless, the prospects for parallel implementation are also investigated. © 1998 John Wiley & Sons, Ltd.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 10
    Electronic Resource
    Electronic Resource
    A carbon-13 NMR study of sterically hindered organotin derivatives (1980)
    Chichester : Wiley-Blackwell
    Organic Magnetic Resonance 14 (1980), S. 220-225 
    Details
    ISSN: 0030-4921
    Keywords: Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Proton and 13C NMR has been used to examine a series of organotin derivatives. Anisochronous shifts are reported for chiral derivatives of tin, and 1H and 13C spin coupling constants to 117Sn and 119Sn are discussed. Spin lattice relaxation of 13C in these derivatives has been measured, and is used to indicate the effects of steric crowding on the ligands in terms of their freedom to undergo conformational rerrangements.
    Additional Material: 4 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mrc.1270140314
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