The Mathematics of Finite Elements and Applications IV: MAFELAP 1981John Robert Whiteman |
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Page 47
MAFELAP 1981 John Robert Whiteman. with one singular function and sh consisting either of piece- wise linear or piecewise quadratic functions || u - ûn || 10 ( 52 ) = = O ( h / 3 ) , ( 3.5 ) la , -a - O ( h2 / 3 ) , = h with two singular ...
MAFELAP 1981 John Robert Whiteman. with one singular function and sh consisting either of piece- wise linear or piecewise quadratic functions || u - ûn || 10 ( 52 ) = = O ( h / 3 ) , ( 3.5 ) la , -a - O ( h2 / 3 ) , = h with two singular ...
Page 58
... singular expansion of the solution and the use of the sing- ular functions of the problem adjoint to ( 1.1 ) , ( 1.2 ) . 2. SINGULAR EXPANSIONS The structure of solutions of linear problems near angular corners of the domain has been ...
... singular expansion of the solution and the use of the sing- ular functions of the problem adjoint to ( 1.1 ) , ( 1.2 ) . 2. SINGULAR EXPANSIONS The structure of solutions of linear problems near angular corners of the domain has been ...
Page 62
... singular functions , even 0 ( h ) can be reached for the stress intensity factors and the L error . 2 The analysis for the DSFM is very much simplified for the li- near case Fk = 0 , k = 0,1,2 . Here , the values k can easily be cal ...
... singular functions , even 0 ( h ) can be reached for the stress intensity factors and the L error . 2 The analysis for the DSFM is very much simplified for the li- near case Fk = 0 , k = 0,1,2 . Here , the values k can easily be cal ...
Contents
Analysis of a class of problems with friction | 1 |
A new approach to the numerical analysis of linear | 13 |
Finite element studies of reaction | 17 |
Copyright | |
34 other sections not shown
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algorithm applied approximation assumed asymptotic bending bilinear boundary conditions boundary integral boundary value problem bounded Brunel University coefficients collocation computed consider constant convergence corresponding curve defined denotes derivatives differential equations dimensional displacement domain elastic elliptic equilibrium error estimates example finite difference Finite Element Analysis finite element method finite element solution formulation Galerkin Galerkin method given grid hierarchical integral equations interpolation iteration Lemma linear load Math Mathematics Mech mesh Meth modes nodal node nonlinear norm numerical obtained ohmic contact optimal parameters piecewise plane plate Poisson's ratio polynomial quadratic quadrature quadrilateral rate of convergence reduced integration satisfy scheme shape functions shear shell singular singular functions Sobolev spaces solved space stiffness matrix strain stress structure techniques Theorem theory tion transverse triangular variational vector Whiteman zero ZIENKIEWICZ