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math.AP2025
Convergence of graph Dirichlet energies and graph Laplacians on intersecting manifolds of varying dimensions
Leon Bungert, Dejan Slepčev
We study -convergence of graph Dirichlet energies and spectral convergence of graph Laplacians on unions of intersecting manifolds of potentially different dimensions. Our inves…
math.NA2025
Meshless Shape Optimization using Neural Networks and Partial Differential Equations on Graphs
Eloi Martinet, Leon Bungert
Shape optimization involves the minimization of a cost function defined over a set of shapes, often governed by a partial differential equation (PDE). In the absence of closed-form…