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Related publications (6)
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The course studies the fundamental concepts of complex analysis and Laplace analysis with a view to their use to solve multidisciplinary scientific engineering problems.
The course studies the fundamental concepts of vector analysis and Fourier analysis with a view to using them to solve multidisciplinary scientific engineering problems.
Introduction to the development, analysis, and application of computational methods for solving conservation laws with an emphasis on finite volume, limiter based schemes, high-order essentially non-o
We survey recent contributions to finite element exterior calculus on manifolds and surfaces, giving a comprehensive formalism for the error analysis of vector-valued partial differential equations on manifolds. We first discuss uniformly bounded commuting ...
Springer Science and Business Media Deutschland GmbH2025
We show that the standard partition of unity subordinate to an open cover of a metric space has Lipschitz constant max(1, M - 1)/L, where Lis the Lebesgue number and M is the multiplicity of the cover. If the metric space satisfies the approximate midpoint ...
We study symmetries of bases and spanning sets in finite element exterior calculus, using representation theory. We want to know which vector-valued finite element spaces have bases invariant under permutation of vertex indices. The permutations of vertex ...
