Finite element methods - Open Access .click

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Finite-difference and finite-element methods of approximation

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1971
Abstract The finite-difference and finite-element methods for approximating the solution of elliptic boundary-value problems are discussed. The analysis of the order of accuracy is outlined, and the results compared, with some comment on special problems connected with singularities.
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Boundary Concentrated Finite Element Methods

SIAM Journal on Numerical Analysis, 2003
A numerical solution method is presented for elliptic problems with low global Sobolev regularity, when the latter is due to rough boundary data or geometries but the solution has interior regularity. The proposed method is a kind of \(hp\)-finite element method that concentrates most degrees of freedom near the boundary.
Boris N. Khoromskij, Jens Markus Melenk
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Postprocessing the Linear Finite Element Method

SIAM Journal on Numerical Analysis, 2002
The authors extend the postprocessing Galerkin method for dissipative evolution equations to the case of the linear finite element method. Nonlinear parabolic equations of convection-diffusion type and reaction-diffusion type are considered. It is proved that the postprocessing technique applied to the linear finite element method improves the rate of ...
Javier de Frutos, Julia Novo
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Convergence analysis for an element-by-element finite element method

Computer Methods in Applied Mechanics and Engineering, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Zhi Ping, Reed, M. B.
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A PSE for Finite Element Method [PDF]