An Efficient Quasi-Newton Method with Tensor Product Implementation for Solving Quasi-Linear Elliptic Equations and Systems

In this paper, we introduce a quasi-Newton method optimized for efficiently solving quasi-linear elliptic equations and systems, with a specific focus on GPU-based computation. By approximating the Jacobian matrix with a combination of linear Laplacian and simplified nonlinear terms, our method redu...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 103; no. 3; p. 89
Main Authors:	Hao, Wenrui, Lee, Sun, Zhang, Xiangxiong
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2025 Springer Nature B.V
Subjects:	Algorithms Boundary conditions Computational Mathematics and Numerical Analysis Convergence Efficiency Elliptic functions Exact solutions Finite volume method Jacobi matrix method Jacobian matrix Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Numerical analysis Partial differential equations Quasi Newton methods Regularization Sparse matrices Tensors Theoretical Quasi-Linear Elliptic equations and systems 90C53 Quasi-Newton method 65N35 35J62 Tensor product Kronecker product
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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