[PDF] Top 20 TítuloA posteriori error analysis of an augmented mixed finite element method for Darcy flow

... outline of the paper is as follows. In Section 2 we first describe the problem of Darcy’s flow and recall its classical dual-mixed variational ...tion of the second method ... See full document

... hypotheses of the Babuˇska-Brezzi theory, it is difficult to derive explicit finite element subspaces yield- ing stable discrete ...when mixed boundary conditions with non- homogeneous Neumann ... See full document

... computational method for image analysis, with promising applications in the diagnosis of human ...numerical analysis of DIR methods still has many open ...applications of ... See full document

... consider an augmented mixed finite element method applied to the linear elasticity problem and derive a posteriori error estimators that are simpler and easier to ... See full document

... formulations for non-linear boundary value problems in plane ...case of incompressible materials, we considered the non-Newtonian model from [5,7], and applied the dual-mixed approach from [11] to ... See full document

... computational method for image analy- sis, with promising applications in the diagnosis of human ...numerical analysis of DIR methods remain un- ...applications of DIR include ... See full document

... new mixed finite element method for the generalized Stokes prob- ...extension of a previous procedure applied to quasi- Newtonian Stokes flows, is based on the introduction ... See full document

... application of adaptive algorithms, based on a posteriori error estimates, usually guarantees the quasi-optimal rate of convergence of the finite element solution to boundary ... See full document

... character of our augmented formulation, we now feel the need of deriving corresponding a posteriori error ...purpose of this work is to develop a residual based a ... See full document

... the method that we introduce here leads to a uniformly controllable semi-discrete ...point of view was pointed out in [8] and it is due to the fact that the velocity of propagation of some ... See full document

... are of the form u + θ × (ηn + ζb), with u, θ, n and b being functions of the arc-length coordinate ...displacements of this form are taken in the variational formulation of the linear ... See full document

... Mixed finite element methods are typically used in linear elasticity to avoid the effects of ...unknowns of physical interest, such as the stresses. We consider here the mixed ... See full document

... technique for iteratively solving linear systems arising from finite element discretization of the mixed formulation of the time-harmonic Maxwell ...properties of the ... See full document

... •We have obtained a numerical solution of a 1D nonlinear reaction-diffusion type model, representing the initial stages of atherosclerosis, which is a variant of the one prop[r] ... See full document

... compiler for 32 bits windows. The Armadillo library [7] was used for the solution of the system ...used for the system is an iterative one, ...solution for the current vector and ... See full document

... set of results obtained in the first model is also ...domain method is almost exact, while the results from the classical model exhibit significant ...frequency of the microzone, which is in part ... See full document

... t) of the domain into that point relaxation tensor . The coordinates of the relaxation tensor are specific diffusion process ...see for instance ...equations for the transport problem ... See full document

... aspect of this type of struc- ture is the determination of the leakage flow through the ...and an undesired uplift pressure could compromise the structural stability of the ... See full document

... On the other hand, to obtain highly accurate solutions by means of standard techniques (FEM, Finite Dierences) should imply unapproachable computing requirements; analytical solutions ar[r] ... See full document

... number of non-zero elements even when the mesh is re-numbered so as to reduce the band width to a minimum and specially when a mixed method is ...out’ of the sparse stencil, when this type ... See full document