Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium
نویسندگان
چکیده
A Dirichlet problem is considered for the eikonal equation in an anisotropic medium. The nonlinear boundary value problem (BVP) formulated in the present work is the limit of the diffusion–reaction problem with a diffusion parameter tending to zero. To solve numerically the singularly perturbed diffusion– reaction problem, monotone approximations are employed. Numerical examples are presented for a two-dimensional BVP for the eikonal equation in an anisotropic medium. The standard piecewise-linear finite-element approximation in space is used in computations.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1802.06203 شماره
صفحات -
تاریخ انتشار 2018