Results 41 to 50 of about 87 (75)

A Nash-Game Approach to Elliptic Cauchy Data Completion with Robust Error Bounds in Practical Noisy Regimes

open access: yes
This paper presents a Nash game formulation for solving the ill-posed Cauchy problem associated with Laplace’s equation. The data completion task is recast as a two-player static game, where each player controls a virtual Dirichlet condition on the ...
Saber Amdouni   +2 more
core   +1 more source

On the solvability of a nonlinear discrete problem corresponding to a higher-order finite volume approximation in 2D

open access: yes, 1999
When studying non-linear (higher order MUSCL type) finite volume approximation of a linear convection diffusion problem, one is confronted with a question whether the corresponding nonlinear discrete problem is solvable. In this contribution we note that
Mirko Rokyta
core  

Elliptic interface problem approximated by CutFEM: II.

open access: yes
This paper investigates an elliptic interface problem with discontinuous diffusion coefficients discretized by finite elements on unfitted meshes, employing the CutFEM method. The main contribution is the a posteriori error analysis based on equilibrated
Aimene Gouasmi, Daniela Capatina
core   +1 more source

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