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  • Artikel  (19)
  • CR: G1.8  (14)
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  • Artikel  (19)
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  • Springer  (19)
  • Blackwell Publishing Ltd
  • Elsevier
  • International Union of Crystallography
  • Taylor & Francis
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  • 1995-1999
  • 1985-1989  (19)
  • 1980-1984
  • 1940-1944
  • 1930-1934
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  • Mathematik  (14)
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  • 1
    Digitale Medien
    Digitale Medien
    Control of stefan problems by means of linear-quadratic defect minimization (1985)
    Springer
    Numerische Mathematik 46 (1985), S. 429-442 
    Details
    ISSN: 0945-3245
    Schlagwort(e): AMS(MOS): 65P05 ; CR: G1.8
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary We investigate the following problem: To influence a heat conduction process in such a way that the conductor melts in a prescribed manner. Since we treat a linear auxiliary problem, it suffices to deal with a linear-quadratic defect minimization problem with linear restrictions, where we use splines or polynomials as approximation spaces. In case of exact controllability we derive various order of convergence estimates, which we discuss for some numerical examples.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01389495
    Standort Signatur Erwartet Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    A finite element lumped mass scheme for solving eigenvalue problems of circular arches (1985)
    Springer
    Numerische Mathematik 46 (1985), S. 499-504 
    Details
    ISSN: 0945-3245
    Schlagwort(e): AMS(MOS): 65N30 ; CR: G1.8
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary This study is a continuation of a previous paper [4] in which the numerical results are given by using single precision arithmetic. In this paper, we show the numerical results which experess the sharper convergence properties than those of [4], by using double precision arithmetic.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01389655
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  • 3
    Digitale Medien
    Digitale Medien
    On finite element approximation in theL ∞-norm of variational inequalities (1985)
    Springer
    Numerische Mathematik 47 (1985), S. 45-57 
    Details
    ISSN: 0945-3245
    Schlagwort(e): AMS(MOS)-65N30, 49D20 ; CR: G1.8
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary We are interested in the approximation in theL ∞-norm of variational inequalities with non-linear operators and somewhat irregular obstacles. We show that the order of convergence will be the same as that of the equation associated with the non-linear operator if the discrete maximum principle is verified.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01389875
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  • 4
    Digitale Medien
    Digitale Medien
    Error estimates of a Galerkin method for some nonlinear Sobolev equations in one space dimension (1985)
    Springer
    Numerische Mathematik 47 (1985), S. 139-157 
    Details
    ISSN: 0945-3245
    Schlagwort(e): AMS(MOS): 65N30 ; CR: G1.8
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary A semidiscrete Galerkin finite element method is defined and analyzed for nonlinear evolution equations of Sobolev type in a single space variable. Optimal orderL p error estimates are derived for 2≦p≦∞. And it is shown that the rates of convergence of the approximate solution and its derivative are one order better than the optimal order at certain spatial Jacobi and Gauss points, respectively. Also the standard nodal superconvergence results are established. Futher, it is considered that an a posteriori procedure provides superconvergent approximations at the knots for the spatial derivatives of the exact solution.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01389881
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  • 5
    Digitale Medien
    Digitale Medien
    Approximation of a bending plate problem with a boundary unilateral constraint (1985)
    Springer
    Numerische Mathematik 47 (1985), S. 435-458 
    Details
    ISSN: 0945-3245
    Schlagwort(e): AMS(MOS): 65N30 ; CR: G1.8
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary We study a variational formulation of the unilaterally supported bent plate problem and we analyze the approximation of the problem by a mixed finite element method. We proveO(h) andO(h|lnh|1/2) error bounds respectively for the moments and the displacement.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01389591
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  • 6
    Digitale Medien
    Digitale Medien
    The fractal nature of molecular trajectories in fluids (1985)
    Springer
    Journal of statistical physics 40 (1985), S. 751-758 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Fractals ; Brownian motion ; diffusion ; hard sphere fluid ; molecular dynamics simulation
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract The scaled lengths of molecular trajectories obtained by molecular dynamics simulation of a hard-sphere fluid are shown to have the same fractal dimensionD=2 as the random walk. Self-similarity first appears on length scales typically a factor of 25 greater than the mean free-path length, whereas for the simple random walk with constant step size the onset occurs after only six steps; the reason for the slow convergence is shown to be the near exponential distribution of intercollision path lengths of the fluid molecules. The influence of density on the scaled path lengths is also discussed.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01009898
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  • 7
    Digitale Medien
    Digitale Medien
    Sur les éléments finis rationnels de Serendip de degré quelconque (1985)
    Springer
    Numerische Mathematik 46 (1985), S. 175-187 
    Details
    ISSN: 0945-3245
    Schlagwort(e): AMS (MOS): 65N30 ; CR: G1.8
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary A general construction of rational finite elements of serendip type on convex quadrilaterals is described in this paper. A first technique consists in eliminating formerly introduced nodes; a second possibility is to use the transformation of Coxeter-Wachspress. Error bounds are given for the associate interpolation.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01390418
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  • 8
    Digitale Medien
    Digitale Medien
    W m,2 -Fehlerabschätzungen für Galerkin-Näherungen schwach elliptischer quasilinearer Randwertprobleme 2m-ter Ordnung (1985)
    Springer
    Numerische Mathematik 47 (1985), S. 597-609 
    Details
    ISSN: 0945-3245
    Schlagwort(e): AMS(MOS): 65N30 ; 65N15 ; CR: G1.8
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary For weak elliptic quasilinear boundary value problems of order 2m inn dimensionsW m,2 -error estimates for the Galerkin method are established, in whichL ∞-norms of certain derivatives of the Galerkin approximations still occur. The order of these derivatives depends on several conditions on the coefficients of the differential operator. With the help of appropriate a priori bounds for the discrete solutions asymptotic error estimates for the finite element method may be obtained from this. This procedure yields quasioptimal results in several cases. Finally some examples are discussed.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01389459
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  • 9
    Digitale Medien
    Digitale Medien
    On some boundary element methods for the heat equation (1985)
    Springer
    Numerische Mathematik 46 (1985), S. 101-120 
    Details
    ISSN: 0945-3245
    Schlagwort(e): AMS(MOS): 65N30 ; CR: G1.8
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary The object of this paper is to study some boundary element methods for the heat equation. Two approaches are considered. The first, based on the heat potential, has been studied numerically by previous authors. Here the convergence analysis in one space dimension is presented. In the second approach, the heat equation is first descretized in time and the resulting elliptic problem is put in the boundary formulation. A straight forward implicit method and Crank-Nicolson's method are thus studied. Again convergence in one space dimension is proved.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01400258
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  • 10
    Digitale Medien
    Digitale Medien
    A three-dimensional quadratic nonconforming element (1985)
    Springer
    Numerische Mathematik 46 (1985), S. 269-279 
    Details
    ISSN: 0945-3245
    Schlagwort(e): AMS(MOS): 65N30 ; CR: G1.8
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary We define a second-degree nonconforming element on tetrahedra. We build a basis for the opproximation space derived from this element. We prove a discrete regularity property similar to the one that holds for the corresponding two-dimensional element.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01390424
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