In this note, we prove error estimates in natural norms on the approximation of the boundary data in the elliptic Cauchy problem, for the finite element method first analysed in E. Burman, Error estimates for stabilised finite element methods applied to ill-posed problems, C. R. Acad. Sci. Paris, Ser. I 352 (7-8) (2014) 655-659
AbstractWe consider the finite element approximation of the boundary value problem −∇ · (A(u)∇u) = ƒ...
AbstractThe solution of a quasilinear elliptic state equation depends on the coefficient function be...
We deal with some quasilinear elliptic problems posed in a bounded smooth convex domain Ω⊂RN (N≥3), ...
We consider primal-dual mixed finite element methods for the solution of the elliptic Cauchy proble...
This paper is devoted to a conditional stability estimate related to the ill-posed Cauchy problems f...
In this paper we consider a Neumann control problem associated to a semilinear elliptic equation def...
The paper studies some ill-posed boundary value problems on semi-plane for parabolic equations with ...
We prove De Giorgi-Nash-Moser Theory using a geometric approach.Comment: 14 pages, 1 figur
AbstractIn this paper, we discuss with guaranteed a priori and a posteriori error estimates of finit...
In this paper, we derive a posteriori bounds of the difference between the exact solution of an elli...
AbstractIn this paper we study, in dimension two, the stability of the solutions of some nonlinear e...
In the contexts of fluid–structure interaction and reduced order modeling for parametrically–depende...
AbstractIn this work, we consider the behaviour of the residual error using a smooth finite element ...
AbstractWe investigate the behavior of strong solutions to the Robin boundary value problem for line...
AbstractWe solve a nonlinear convection–diffusion problem by the method of characteristics. The velo...
AbstractWe consider the finite element approximation of the boundary value problem −∇ · (A(u)∇u) = ƒ...
AbstractThe solution of a quasilinear elliptic state equation depends on the coefficient function be...
We deal with some quasilinear elliptic problems posed in a bounded smooth convex domain Ω⊂RN (N≥3), ...
We consider primal-dual mixed finite element methods for the solution of the elliptic Cauchy proble...
This paper is devoted to a conditional stability estimate related to the ill-posed Cauchy problems f...
In this paper we consider a Neumann control problem associated to a semilinear elliptic equation def...
The paper studies some ill-posed boundary value problems on semi-plane for parabolic equations with ...
We prove De Giorgi-Nash-Moser Theory using a geometric approach.Comment: 14 pages, 1 figur
AbstractIn this paper, we discuss with guaranteed a priori and a posteriori error estimates of finit...
In this paper, we derive a posteriori bounds of the difference between the exact solution of an elli...
AbstractIn this paper we study, in dimension two, the stability of the solutions of some nonlinear e...
In the contexts of fluid–structure interaction and reduced order modeling for parametrically–depende...
AbstractIn this work, we consider the behaviour of the residual error using a smooth finite element ...
AbstractWe investigate the behavior of strong solutions to the Robin boundary value problem for line...
AbstractWe solve a nonlinear convection–diffusion problem by the method of characteristics. The velo...
AbstractWe consider the finite element approximation of the boundary value problem −∇ · (A(u)∇u) = ƒ...
AbstractThe solution of a quasilinear elliptic state equation depends on the coefficient function be...
We deal with some quasilinear elliptic problems posed in a bounded smooth convex domain Ω⊂RN (N≥3), ...
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