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KIAM Preprint № 4, Moscow, 2022
Authors: Botchev M.A.
Solving anisotropic heat equations by exponential shift-and-invert and polynomial Krylov subspace methods
Abstract:
We assess performance of the exponential Krylov subspace methods for solving a class of parabolic problems with a strong anisotropy in coefficients. Different boundary conditions are considered, which have a direct impact on the smallest eigenvalue of the discretized operator and, hence, on the convergence behavior of the exponential Krylov subspace solvers. Restarted polynomial Krylov subspace methods and shift-and-invert Krylov subspace methods combined with algebraic multigrid are considered.
Keywords:
exponential time integration, Krylov subspace methods shift-and-invert Krylov subspace methods, anisotropy
Publication language: russian,  pages: 17
Research direction:
Theoretical and applied problems of mechanics
Russian source text:
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About authors:
  • Botchev Mikhail Aleksandrovich,  orcid.org/0000-0001-5901-7120KIAM RAS