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Identification and reconstruction of a small leak zone in a pipe by a spectral element method
(2006)
This paper deals with the identification of a zone permitting fluid to leak out of a drain. Using the analogy with crack identification by boundary measurements, we give uniqueness and stability results and we propose an ...
Rheological effects of strusture breakdown in semisolid slurries
(2004)
An essential element for the integration of the semisolid metal (SSM) process in the production of complex commercial components is the availability of accurate mathematical and computational tools that could describe both ...
Squeeze flow of semi-solid slurriesAAA
(2013)
A standard method used to determine material properties of semi-solid slurries is the squeeze flow experiment in which a fixed amount of material is squeezed under constant force or velocity. The relation between the force ...
Cessation of annular Poiseuille flows of Bingham plastics
(2007)
We numerically solve the cessation of the annular Poiseuille flow of Bingham plastics for various values of the diameter ratio, using the regularized constitutive equation proposed by Papanastasiou and employing finite ...
Cessation of Couette and Poiseuille flows of a Bingham plastic and finite stopping times
(2005)
We solve the one-dimensional cessation Couette and Poiseuille flows of a Bingham plastic using the regularized constitutive equation proposed by Papanastasiou and employing finite elements in space and a fully implicit ...
Application of the p-version of the finite element method to elastoplasticity with localization of deformation
(1999)
In this paper we discuss the use of the p-version of the finite element method applied to elastoplastic problems that exhibit sharp (but continuous) deformation gradients. The deformation theory of deviatoric, linearly ...
An hp finite element method for a 4th order singularly perturbed boundary value problem in two dimensions
(2017)
We consider a fourth order singularly perturbed boundary value problem posed in a square and the approximation of its solution by the hp version of the finite element method on the so-called Spectral Boundary Layer mesh. ...
Solving Laplacian problems with boundary singularities: A comparison of a singular function boundary integral method with the p/hp version of the finite element method
(2005)
We solve a Laplacian problem over an L-shaped domain using a singular function boundary integral method as well as the p/hp finite element method. In the former method, the solution is approximated by the leading terms of ...
Compressible viscous flow in slits with slip at the wall
(1994)
We study the time-dependent compressible flow of a Newtonian fluid in slits using an arbitrary nonlinear slip law relating the shear stress to the velocity at the wall. This slip law exhibits a maximum and a minimum and ...
The simultaneous use of 4×4 and 2×2 bilinear stress elements for viscoelastic flows
(1993)
Mixed finite elements for viscoelastic flows based on a 4×4 sub-linear interpolation for the extra stress components satisfy the Babuska-Brezzi condition and are highly stable. They have been proved to be quite satisfactory ...