A PDE-constrained optimization framework moves high-order mesh nodes to minimize a weighted sum of solution error and mesh distortion, cutting discretization error by up to 10x in Poisson and linear elasticity tests.
The International Journal of High Performance Computing Applications34(5), 562–586 (2020)
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PDE-Constrained High-Order Mesh Optimization
A PDE-constrained optimization framework moves high-order mesh nodes to minimize a weighted sum of solution error and mesh distortion, cutting discretization error by up to 10x in Poisson and linear elasticity tests.