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.
SIAM Journal on Scientific Computing34(5), 606–641 (2012)
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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.