منابع مشابه
Tetrahedral and Cubic Monopoles
Using a numerical implementation of the ADHMN construction, we compute the fields and energy densities of a charge three monopole with tetrahedral symmetry and a charge four monopole with octahedral symmetry. We then construct a one parameter family of spectral curves and Nahm data which represent charge four monopoles with tetrahedral symmetry, which includes the monopole with octahedral symme...
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We describe an algorithm for constructing a Lagrange interpolation pair based on C cubic splines defined on tetrahedral partitions. In particular, given a set of points V ∈ IR, we construct a set P containing V and a spline space S 3 (△) based on a tetrahedral partition △ whose set of vertices include V such that interpolation at the points of P is well-defined and unique. Earlier results are e...
متن کاملLocal lagrange interpolation with cubic C1 splines on tetrahedral partitions
We describe an algorithm for constructing a Lagrange interpolation pair based onC1 cubic splines defined on tetrahedral partitions. In particular, given a set of points V ∈ R3, we construct a set P containing V and a spline space S3( ) based on a tetrahedral partition whose set of vertices include V such that interpolation at the points of P is well-defined and unique. Earlier results are exten...
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We describe an approximating scheme based on cubic C1 splines on type-6 tetrahedral partitions using data on volumetric grids. The quasi-interpolating piecewise polynomials are directly determined by setting their Bernstein–Bézier coefficients to appropriate combinations of the data values. Hence, each polynomial piece of the approximating spline is immediately available from local portions of ...
متن کاملSemilocal Strings and Monopoles
A variation on the abelian Higgs model, with SU(2) global × U(1) local symmetry broken to U(1) global , was recently shown by Vachaspati and Achúcarro [1] to admit stable, finite energy cosmic string solutions even though the mani-fold of minima of the potential energy does not have non-contractible loops. Here we describe the most general solutions in the Bogomol'nyi limit, both in the single ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1996
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02099717