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Displaying 461 –
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In the dynamical theory of granular matter the so-called table problem consists in studying the evolution of a heap of matter poured continuously onto a bounded domain . The mathematical description of the table problem, at an equilibrium configuration, can be reduced to a boundary value problem for a system of partial differential equations. The analysis of such a system, also connected with other mathematical models such as the Monge–Kantorovich problem, is the object of this paper. Our main...
We analyze residual and hierarchical a posteriori error estimates for nonconforming finite element approximations of elliptic problems with variable coefficients. We consider a finite volume box scheme equivalent to a nonconforming mixed finite element method in a Petrov–Galerkin setting. We prove that all the estimators yield global upper and local lower bounds for the discretization error. Finally, we present results illustrating the efficiency of the estimators, for instance, in the simulation...
We analyze residual and hierarchical
a posteriori error estimates for nonconforming finite element
approximations of elliptic problems with variable coefficients.
We consider a finite volume box scheme equivalent to
a nonconforming mixed finite element method in a Petrov–Galerkin
setting. We prove that
all the estimators yield global upper and local lower bounds for the discretization
error. Finally, we present results illustrating the efficiency of the
estimators, for instance, in the simulation...
We consider H(curl;Ω)-elliptic problems that have been discretized by
means of Nédélec's edge elements on tetrahedral meshes. Such
problems
occur in the numerical computation of eddy currents. From the defect
equation we derive localized expressions that can be used
as a posteriori error estimators to control adaptive
refinement.
Under certain assumptions on material parameters and computational
domains, we derive local lower bounds and a global upper bound for the
total error measured in...
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