A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications
نویسندگان
چکیده
We propose a new iterative scheme to compute the numerical solution an over-determined boundary value problem for general quasilinear elliptic PDE. The main idea is repeatedly solve its linearization by using quasi-reversibility method with suitable Carleman weight function. presence of function allows us employ estimate prove convergence sequence generated above desired solution. iteration fast at exponential rate without need initial good guess. apply this solutions some equations and large class first-order Hamilton-Jacobi equations. Numerical results are presented.
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ژورنال
عنوان ژورنال: Computers & mathematics with applications
سال: 2022
ISSN: ['0898-1221', '1873-7668']
DOI: https://doi.org/10.1016/j.camwa.2022.08.032