A Space-Time Multigrid Method for Parabolic Partial Differential Equations
Copyright policy )A Space-Time Multigrid Method for Parabolic Partial Differential Equations
The numerical solution of parabolic equations is considered. After the time discretization multigrid solvers can be used for the resulting elliptic equations. The method presented treats the whole of the space- time problem simultaneously. The transfer operators (restriction and interpolation) depend at each grid level on the degree of anisotropy of the discretization stencil. Numerical results for the heat equation are presented and are shown to agree closely with predictions from Fourier mode analysis.
- KU Leuven Belgium
Mathematics, Applied, PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS, Numerical & Computational Mathematics, numerical results, parallel, MULTIGRID, 0102 Applied Mathematics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, MASSIVELY PARALLEL COMPUTATION, 4901 Applied mathematics, semicoarsening, SEMICOARSENING, multigrid, 0802 Computation Theory and Mathematics, Science & Technology, heat equation, 0103 Numerical and Computational Mathematics, parabolic equations, Parallel numerical computation, parabolic partial differential equations, Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs, massively parallel computation, Physical Sciences, 4903 Numerical and computational mathematics, PARALLEL, space-time multigrid method, Initial value problems for second-order parabolic equations, BOUNDARY-VALUE, boundary-value, Mathematics
Mathematics, Applied, PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS, Numerical & Computational Mathematics, numerical results, parallel, MULTIGRID, 0102 Applied Mathematics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, MASSIVELY PARALLEL COMPUTATION, 4901 Applied mathematics, semicoarsening, SEMICOARSENING, multigrid, 0802 Computation Theory and Mathematics, Science & Technology, heat equation, 0103 Numerical and Computational Mathematics, parabolic equations, Parallel numerical computation, parabolic partial differential equations, Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs, massively parallel computation, Physical Sciences, 4903 Numerical and computational mathematics, PARALLEL, space-time multigrid method, Initial value problems for second-order parabolic equations, BOUNDARY-VALUE, boundary-value, Mathematics
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