We present an algorithm for constructing families of conforming (i.e. face-to-face) nonobtuse tetrahedral finite element meshes for convex 3D cylindrical-type domains. In fact, the algorithm produces only path-tetrahedra.
In this work, we present and discuss continuous and discrete maximum/minimum principles for reaction-diffusion problems with the Neumann boundary condition solved by the finite element and finite difference methods.
The author studies relations between the following two types of natural operators: 1. Natural operators transforming vector fields on manifolds into vector fields on a natural bundle ; 2. Natural operators transforming vector fields on manifolds into functions on the cotangent bundle of . It is deduced that under certain assumptions on , all natural operators of the second type can be constructed through those of the first one.
The author develops a -analogue of Rota’s finite operator calculus in enumerative combinatorics.
In this note, we introduce a new approach to study overlapping domain decomposition methods for optimal control systems governed by partial differential equations. The model considered in our paper is systems governed by wave equations. Our technique could be used for several other equations as well.
Contrary to a statement of Borsuk the author proves that every locally plane Peano continuum is embeddable into a 2-manifold.