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.
Engineering with Computers 27(1), 41–50 (2011) 23
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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.