Abstract. A variational method for estimating a magnetic resonance coil sensitivity from its corresponding nonuniform illumination of magnetic resonance images is proposed and anal...
This paper begins with an overview of the boundary condition capturing approach to solving problems with interfaces. Although, the authors’ original motivation was to extend the...
In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation pr...
We give a new sufficient condition on the boundary conditions for the exponential stability of one-dimensional nonlinear hyperbolic systems on a bounded interval. Our proof relies ...
Jean-Michel Coron, Georges Bastin, Brigitte d'Andr...
Abstract In this paper, we present a ghost cell/level set method for the evolution of interfaces whose normal velocity depend upon the solutions of linear and nonlinear quasi-stead...
We introduce new boundary conditions for Large Eddy Simulation. These boundary conditions are based on an approximate deconvolution approach. They are computationally efficient an...
Many problems in geometric modeling can be described using variational formulations that define the smoothness of the shape and its behavior w.r.t. the posed modeling constraints....
Alec Jacobson, Elif Tosun, Olga Sorkine, Denis Zor...
We gain solvability to a system of nonlinear, second-order ordinary differential equations subject to a range of boundary conditions. The ideas involve differential inequalities...