The Mathematics of Finite Elements and Applications: Proceedings of the Brunel University Conference of the Institute of Mathematics and Its Applications Held in April 1972 |
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Page 337
... SINGULARITIES IN TRANSMISSION LINES P. DALY University of Leeds . 1. INTRODUCTION In the transverse electromagnetic line ( TEM ) analysis of structures such as microstrips or rectangular coaxial lines the field singularity at the sharp ...
... SINGULARITIES IN TRANSMISSION LINES P. DALY University of Leeds . 1. INTRODUCTION In the transverse electromagnetic line ( TEM ) analysis of structures such as microstrips or rectangular coaxial lines the field singularity at the sharp ...
Page 340
... singularity and demonstrate that the singularity error predominates in a uniform mesh sub - division . 3. TEM STRUCTURES WITH SINGULARITIES 3.1 SYMMETRIC CLOSED MICROSTRIP Since the strip is symmetrical , only one quarter of the cross ...
... singularity and demonstrate that the singularity error predominates in a uniform mesh sub - division . 3. TEM STRUCTURES WITH SINGULARITIES 3.1 SYMMETRIC CLOSED MICROSTRIP Since the strip is symmetrical , only one quarter of the cross ...
Page 349
... singularity or not . This is possible since the finite element matrices depend on shape but not linear dimensions . The higher - order polynomial cuts down effectively on mesh error and local sub - division on singularity error . This ...
... singularity or not . This is possible since the finite element matrices depend on shape but not linear dimensions . The higher - order polynomial cuts down effectively on mesh error and local sub - division on singularity error . This ...
Contents
CONTRIBUTORS | 37 |
SOME RECENT ADVANCES IN THE MATHEMATICS OF FINITE ELEMENTS | 59 |
ERROR ANALYSIS OF FINITE ELEMENT METHODS WITH TRIANGLES | 83 |
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accuracy algorithm analysis applications approximation assumed basis functions boundary conditions boundary value problems calculated co-ordinates coefficients components consider constant convergence corresponding creep curved defined degrees of freedom denote derivatives differential equations dimensional Dirichlet problem displacement domain eigenvalues elastic element stiffness energy Engineering error bounds exact solution finite element analysis finite element method finite element solution finite-difference Galerkin Galerkin method Gaussian elimination given heat conduction Hermite interpolation integration interpolation functions isoparametric iterative linear Math mathematical Mech mesh Meth nodal point nodes nonlinear norm obtained parameters piecewise plane polynomials procedure quadrilateral rectangular satisfy shell singularity sinh Sobolev space solved space stiffness matrix strain stress structure subspace surface symmetric technique temperature theorem trial functions triangle triangular elements u₁ variables variational principle vector zero Zienkiewicz Zlámal ду дх