2021/05/26 by Denis Anuprienko, Anuprienko, Denis
Computer Science · Engineering · Environmental Science · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Groundwater flow and contamination studies #Numerical Analysis (math.NA) #Soil and Unsaturated Flow #cs.NA #math.NA
paper · pdf · doi:10.48550/arxiv.2105.12511
arxiv created 2021/05/26 · openalex publication_date 2021/05/26 · arxiv updated 2021/05/27 · openalex created_date 2021/06/07 · openalex updated_date 2026/07/28
Nonlinearity continuation method, applied to boundary value problems for steady-state Richards equation, gradually approaches the solution through a series of intermediate problems. Originally, the Newton method with simple line search algorithm was used to solve the intermediate problems. In this paper, other solvers such as Picard and mixed Picard-Newton methods are considered, combined with slightly modified line search approach. Numerical experiments are performed with advanced finite volume discretizations on model and real-life problems.