Resolution of the Cauchy problem for several hyperbolic systems arising in chemical engineering
Obstruction Theory in Fiber Spaces.
The homology of cyclic branched covers of S3.
The homology of irregular dihedral branched covers of S3.
Orders of Lie algebras over domains
Infinite dimensional manifold structures on principal bundles.
The surgery obstruction groups of the infinite dihedral group.
An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
Free actions on products of spheres: The rational case.
An anisotropic constitutive equation for the stress tensor of blood based on mixture theory.
Connections, local subgroupoids, and a holonomy Lie groupoid of a line bundle gerbe.
Uniqueness of Representation Spaces.
Banach Lattices with Locally Compact Representation Spaces.
Holomorphic framings for projections in a Banach algebra.
Arthritic hand-finger movement similarity measurements: tolerance near set approach.
An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
Using the approach in [5] for analysing time discretization error and assuming more regularity on the initial data, we improve on the error bound derived in [2] for a fully practical piecewise linear finite element approximation with a backward Euler time discretization of a model for phase separation of a multi-component alloy with non-smooth free energy.
Algebraic topology foundations of supersymmetry and symmetry breaking in quantum field theory and quantum gravity: a review.
On fully practical finite element approximations of degenerate Cahn-Hilliard systems
We consider a model for phase separation of a multi-component alloy with non-smooth free energy and a degenerate mobility matrix. In addition to showing well-posedness and stability bounds for our approximation, we prove convergence in one space dimension. Furthermore an iterative scheme for solving the resulting nonlinear discrete system is analysed. We discuss also how our approximation has to be modified in order to be applicable to a logarithmic free energy. Finally numerical experiments with...
On fully practical finite element approximations of degenerate Cahn-Hilliard systems
We consider a model for phase separation of a multi-component alloy with non-smooth free energy and a degenerate mobility matrix. In addition to showing well-posedness and stability bounds for our approximation, we prove convergence in one space dimension. Furthermore an iterative scheme for solving the resulting nonlinear discrete system is analysed. We discuss also how our approximation has to be modified in order to be applicable to a logarithmic free energy. Finally numerical experiments...
Generalized gamma convolutions, Dirichlet means, Thorin measures, with explicit examples.
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