Linear representations of G-manifolds generalize group representations and deliver explicit sharp bounds for Mostow-Palais G-equivariant embeddings into finite-dimensional modules.
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Proximal Galerkin method exactly enforces the isometry constraint for nonlinear plates at mesh cell barycenters without preprocessing, yielding asymptotically mesh-independent convergence.
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Linear representations of manifolds
Linear representations of G-manifolds generalize group representations and deliver explicit sharp bounds for Mostow-Palais G-equivariant embeddings into finite-dimensional modules.
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Proximal Galerkin for the isometry constraint
Proximal Galerkin method exactly enforces the isometry constraint for nonlinear plates at mesh cell barycenters without preprocessing, yielding asymptotically mesh-independent convergence.