On a covering problem for equilateral triangles.
Dumitrescu, Adrian, Jiang, Minghui (2008)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “On a construction of fast direct solvers”
On a covering problem for equilateral triangles.
Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case
Milan Práger (2001)
Applications of Mathematics
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A discretized boundary value problem for the Laplace equation with the Dirichlet and Neumann boundary conditions on an equilateral triangle with a triangular mesh is transformed into a problem of the same type on a rectangle. Explicit formulae for all eigenvalues and all eigenfunctions are given.
Eigenstructure of the equilateral triangle. II: The Neumann problem.
McCartin, Brian J. (2002)
Mathematical Problems in Engineering
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Combinatorial lemmas for polyhedrons
Adam Idzik, Konstanty Junosza-Szaniawski (2005)
Discussiones Mathematicae Graph Theory
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We formulate general boundary conditions for a labelling to assure the existence of a balanced n-simplex in a triangulated polyhedron. Furthermore we prove a Knaster-Kuratowski-Mazurkiewicz type theorem for polyhedrons and generalize some theorems of Ichiishi and Idzik. We also formulate a necessary condition for a continuous function defined on a polyhedron to be an onto function.
Eigenstructure of the equilateral triangle. III: The Robin problem.
McCartin, Brian J. (2004)
International Journal of Mathematics and Mathematical Sciences
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Uniqueness of Dirichlet, Neumann, and mixed boundary value problems for Laplace's and Poisson's equations for a rectangle.
J. B. Díaz, R. B. Ram (1979)
Collectanea Mathematica
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On coverings with convex domains
R. Bambah, C. Rogers, H. Zassenhaus (1964)
Acta Arithmetica
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Covering the plane with sprays
James H. Schmerl (2010)
Fundamenta Mathematicae
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For any three noncollinear points c₀,c₁,c₂ ∈ ℝ², there are sprays S₀,S₁,S₂ centered at c₀,c₁,c₂ that cover ℝ². This improves the result of de la Vega in which c₀,c₁,c₂ were required to be the vertices of an equilateral triangle.
Conjecturally optimal coverings of an equilateral triangle with up to 36 equal circles.
Nurmela, Kari J. (2000)
Experimental Mathematics
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