Abstract
For elliptic boundary value problems (the diffusion equation and elasticity theory ones) with highly varying coefficients, there are proposed iterative methods with the number of iterations independent of the coefficient jumps. In the differential case these methods take solving the boundary value problem for the Poisson equation at each step of iterations while in the finite difference (finite element) approximation it is possible to use another operator as a preconditioner.
Funding: The work was supported by the Moscow Center of Fundamental and Applied Mathematics (Agreement with the Russian Ministry of Education and Science No. 075–15–2019–1624).
References
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- Iterative solution methods for elliptic boundary value problems
- Multi-physics flux coupling for hydraulic fracturing modelling within INMOST platform
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