The capacitance matrix method in numerical methods for elliptic equations

1986 ◽  
Vol 26 (6) ◽  
pp. 199-200
Author(s):  
Yu.I. Mokin
Keyword(s):  
Numerical Methods ◽  
Elliptic Equations ◽  
Matrix Method ◽  
Capacitance Matrix

scholarly journals Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation

2020 ◽  
Vol 408 ◽  
pp. 109285 ◽  
Author(s):  
Stanislav Harizanov ◽  
Raytcho Lazarov ◽  
Svetozar Margenov ◽  
Pencho Marinov ◽  
Joseph Pasciak
Keyword(s):  
Numerical Methods ◽  
Rational Approximation ◽  
Elliptic Equations

scholarly journals Straightening: existence, uniqueness and stability

2014 ◽  
Vol 470 (2164) ◽  
pp. 20130709 ◽  
Author(s):  
M. Destrade ◽  
R. W. Ogden ◽  
I. Sgura ◽  
L. Vergori
Keyword(s):  
Differential Equation ◽  
Numerical Methods ◽  
Circular Cylinder ◽  
Matrix Method ◽  
Stability Problem ◽  
Constitutive Models ◽  
Impedance Matrix ◽  
Riccati Differential Equation ◽  
Incompressible Nonlinear Elasticity ◽  
Existence And Stability

One of the least studied universal deformations of incompressible nonlinear elasticity, namely the straightening of a sector of a circular cylinder into a rectangular block, is revisited here and, in particular, issues of existence and stability are addressed. Particular attention is paid to the system of forces required to sustain the large static deformation, including by the application of end couples. The influence of geometric parameters and constitutive models on the appearance of wrinkles on the compressed face of the block is also studied. Different numerical methods for solving the incremental stability problem are compared and it is found that the impedance matrix method, based on the resolution of a matrix Riccati differential equation, is the more precise.

On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method

1976 ◽  
Vol 30 (135) ◽  
pp. 433 ◽  
Author(s):  
Wlodzimierz Proskurowski ◽  
Olof Widlund
Keyword(s):  
Numerical Solution ◽  
Matrix Method ◽  
Capacitance Matrix

scholarly journals THE USE OF STRUCTURAL COMPACT MATRIX METHOD FOR CALCULATING THE COM-PACTNESS COEFFICIENT

2021 ◽  
pp. 25-38
Author(s):  
D.V. Fomin ◽  
◽  
E.V. Degtyaryov ◽  
Keyword(s):  
Numerical Methods ◽  
Matrix Method ◽  
Hexagonal Lattice ◽  
Three Dimensional ◽  
Numerical Techniques ◽  
Energy Parameters ◽  
Cubic Lattices ◽  
Matrix Description ◽  
Spatial Configurations

The method of compact matrix description of regular three-dimensional spatial configurations and numerical techniques developed on its basis for calculating some structural and energy parameters of cubic lattices have proved to be more effective in comparison with other numerical methods. The suc-cessful application of the compact matrix method for the description of the simplest hexagonal lattice allows us to develop more efficient numerical methods for calculating the structural and energy pa-rameters of lattices of this type.

Efficient Numerical Methods for Strongly Anisotropic Elliptic Equations

2012 ◽  
Vol 55 (1) ◽  
pp. 231-254 ◽  
Author(s):  
Christophe Besse ◽  
Fabrice Deluzet ◽  
Claudia Negulescu ◽  
Chang Yang
Keyword(s):  
Numerical Methods ◽  
Elliptic Equations ◽  
Anisotropic Elliptic Equations
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