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A new adaptive mesh refinement strategy for numerically solving evolutionary PDE's
A graph-based implementation of quadtree meshes for dealing with adaptive mesh refinement (AMR) in the numerical solution of evolutionary partial differential equations is discussed using finiteExpand
Computing the first eigenvalue of the p-Laplacian via the inverse power method.
Abstract In this paper, we discuss a new method for computing the first Dirichlet eigenvalue of the p-Laplacian inspired by the inverse power method in finite dimensional linear algebra. TheExpand
Best constants in Sobolev trace inequalities
Abstract In this paper we establish the best constant for a Sobolev trace inequality on compact Riemannian manifolds with boundary. More specifically, let 1 1 K (n,p) = inf ∇ u∈L p ( R + n ) u∈L p ∗Expand
Computing the First Eigenpair of the p-Laplacian via Inverse Iteration of Sublinear Supersolutions
We introduce an iterative method for computing the first eigenpair (λp,ep) for the p-Laplacian operator with homogeneous Dirichlet data as the limit of (μq,uq) as q→p−, where uq is the positiveExpand
Best constants in second-order Sobolev inequalities on Riemannian manifolds and applications
Abstract Let (M,g) be a smooth compact Riemannian manifold, with or without boundary, of dimension n⩾3 and 1 ‖u‖= ‖ Δ g u‖ L p (M) p +‖u‖ L p (M) p 1/p on each of the spaces H2,p(M), H02,p(M) andExpand
Computing the sinp function via the inverse power method
A new iterative method for computing sinp was inspired by the inverse power method in finite dimensional linear algebra and is competitive with other methods available in the literature. Expand
Eigenvalues and eigenfunctions of the Laplacian via inverse iteration with shift
In this paper we present an iterative method, inspired by the inverse iteration with shift technique of finite linear algebra, designed to find the eigenvalues and eigenfunctions of the LaplacianExpand
Constraints between equations of state and mass-radius relations in general clusters of stellar systems
In this article we prove three obstruction results on the existence of equations of state in clusters of stellar systems fulfilling mass-radius relationships and some additional bound (on the mass,Expand
On Extensions of Yang-Mills-Type Theories, Their Spaces and Their Categories
In this paper we consider the classification problem of extensions of Yang-Mills-type (YMT) theories. For us, a YMT theory differs from the classical Yang-Mills theories by allowing an arbitraryExpand
Topological and geometric obstructions on Einstein–Hilbert–Palatini theories
Abstract In this article we introduce A -valued Einstein–Hilbert–Palatini functional ( A -EHP) over a n -manifold M , where A is an arbitrary graded algebra, as a generalization of the functionalExpand