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Level-Set Shape Optimization via Polytopic Discontinuous Galerkin Methods
Raphael S. Fernandes, Emmanuil H. Georgoulis and Alberto Paganini SIAM Journal on Scientific Computing 47(5) B1293 (2025) https://doi.org/10.1137/24M1687595
Homotopy methods for higher order shape optimization: a globalized shape-Newton method and Pareto-front tracing
Shape Optimization in $$W^{1,\infty }$$ with Geometric Constraints: a Study in Distributed-Memory Systems
Philip J. Herbert, Jose A. Pinzon Escobar and Martin Siebenborn Journal of Optimization Theory and Applications 207(3) (2025) https://doi.org/10.1007/s10957-025-02802-5
A Trust‐Region Method for p‐Harmonic Shape Optimization
Medical Image Registration Using Optimal Control of a Linear Hyperbolic Transport Equation with a DG Discretization
Bastian Zapf, Johannes Haubner, Lukas Baumgärtner and Stephan Schmidt SIAM Journal on Scientific Computing 47(2) B253 (2025) https://doi.org/10.1137/23M1570727
Constrained $ L^p $ approximation of shape tensors and its role for the determination of shape gradients
Adjoint node-based shape optimization of free-floating vessels
Niklas Kühl, Thanh Tung Nguyen, Michael Palm, Dirk Jürgens and Thomas Rung Structural and Multidisciplinary Optimization 65(9) (2022) https://doi.org/10.1007/s00158-022-03338-2
Simultaneous shape and mesh quality optimization using pre-shape calculus