The application of the method of differential relations to the equations of continuum mechanics
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Displaying 1 – 16 of 16
The block-grid method for solving Laplace's equation on polygons with nonanalytic boundary conditions.
Dosiyev, A.A., Buranay, S.Cival, Subasi, D. (2010)
Boundary Value Problems [electronic only]
The frequency decomposition multi-grid method. II. Convergence analysis based on the additive Schwarz method.
Wolfgang Hackbusch (1992)
Numerische Mathematik
The L.P.D.E.M., a mixed finite difference method for elliptic problems.
M. Jai, G. Bayada, M. Chambat (1992)
Numerische Mathematik
The mixed problem for the Laplace equation on the rectangle
D. Radunović (1986)
Matematički Vesnik
The Numerical Computation of Compressed States of Nonlinearly Elastic Anisotropic Plates.
P.V. Negron-Marrero, C. Carbonera (1989/1990)
Numerische Mathematik
The Numerical Solution of a Model Problem Biharmonic Equation by Using Extrapolated Altering Direction Implicit Methods.
A. HADJIDIMOS (1971)
Numerische Mathematik
The Numerical Solution of a Periodic Parabolic Problem Subject to a Nonlinear Boundary Condition. II.
M.R. OSBORNE (1968)
Numerische Mathematik
The point source function of the mixed difference problem in the half-plane
D. Radunović (1989)
Matematički Vesnik
The Robbins problem for elliptic equations in space
K. I. Iordanidis (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Thermal ablation modeling via the bioheat equation and its numerical treatment
Agnieszka Bartłomiejczyk, Henryk Leszczyński, Artur Poliński (2015)
Applicationes Mathematicae
The phenomenon of thermal ablation is described by Pennes' bioheat equation. This model is based on Newton's law of cooling. Many approximate methods have been considered because of the importance of this issue. We propose an implicit numerical scheme which has better stability properties than other approaches.
Transfer of boundary conditions for difference equations
Emil Vitásek (2000)
Applications of Mathematics
It is well-known that the idea of transferring boundary conditions offers a universal and, in addition, elementary means how to investigate almost all methods for solving boundary value problems for ordinary differential equations. The aim of this paper is to show that the same approach works also for discrete problems, i.e., for difference equations. Moreover, it will be found out that some results of this kind may be obtained also for some particular two-dimensional problems.
Transformation of Three-Dimensional Regions onto Rectangular Regions by Elliptic Systems.
C.W. Mastin, J.F. Thompson (1977/1978)
Numerische Mathematik
Two free-boundary problems with singularities
L. Fox (1974)
Acta Universitatis Carolinae. Mathematica et Physica
Two Numerical Methods for the elliptic Monge-Ampère equation
Jean-David Benamou, Brittany D. Froese, Adam M. Oberman (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
The numerical solution of the elliptic Monge-Ampère Partial Differential Equation has been a subject of increasing interest recently [Glowinski, in 6th International Congress on Industrial and Applied Mathematics, ICIAM 07, Invited Lectures (2009) 155–192; Oliker and Prussner, Numer. Math.54 (1988) 271–293; Oberman, Discrete Contin. Dyn. Syst. Ser. B10 (2008) 221–238; Dean and Glowinski, in Partial differential equations, Comput. Methods Appl. Sci. 16 (2008) 43–63; Glowinski et al., Japan...
Two-level nonlinear elimination based preconditioners for inexact Newton methods with application in shocked duct flow calculation.
Hwang, Feng-Nan, Lin, Hsin-Lun, Cai, Xiao-Chuan (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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