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- W2046478132 abstract "We present an efficient approach for solving various mesh optimization problems. Our approach is based on Newton’s method, which uses both first-order (gradient) and second-order (Hessian) derivatives of the nonlinear objective function. The volume and surface mesh optimization algorithms are developed such that mesh validity and surface constraints are satisfied. We also propose several Hessian modification methods when the Hessian matrix is not positive definite. We demonstrate our approach by comparing our method with nonlinear conjugate gradient and steepest descent methods in terms of both efficiency and mesh quality." @default.
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- W2046478132 date "2014-01-01" @default.
- W2046478132 modified "2023-09-23" @default.
- W2046478132 title "An Efficient Approach for Solving Mesh Optimization Problems Using Newton’s Method" @default.
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- W2046478132 doi "https://doi.org/10.1155/2014/273732" @default.
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