Birs- 24w5313: Homological Perspective on Splines and Finite Elements

  1. Title:
    Introduction to equivariant cohomology and GKM theory

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  2. Title:
    Finite Element Differential Complexes

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  3. Title:
    Representation and Approximation of Splines: The Bérnstein-Bezier Form

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  4. Title:
    Isogeometric Analysis

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  5. Title:
    Homological perspectives on splines

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    Spline operators on Hilbert spaces

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  7. Title:
    Potential and flux reconstructions for optimal a priori and a posteriori error estimates

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  8. Title:
    Spline modeling with BSpy

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  9. Title:
    Algebraic perspectives on splines: two tricks for computations

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  10. Title:
    Folded Alcove Walks & Applications to GKM Theory

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  11. Title:
    High Order Whitney Finite Elements: geometrical degrees of freedom

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  12. Title:
    A higher-degree super-smooth C^1 Powell-Sabin finite element

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  13. Title:
    Challenges in Isogeometric Analysis

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  14. Title:
    Adaptive, Structure-Preserving Finite Elements through Subdivision

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  15. Title:
    TBD

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  16. Title:
    Mixed Isogeometric Methods for Hodge–Laplace Problems induced by Second-Order Hilbert Complexes

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