Multigrid methods for differential equations with highly oscillatory coefficients
1993 (English)Conference paper (Refereed)
New coarse grid multigrid operators for problems with highly oscillatory coefficients aredeveloped. These types of operators are necessary when the characters of the differentialequations on coarser grids or longer wavelengths are different from that on the fine grid.Elliptic problems for composite materials and different classes of hyperbolic problems arepractical examples.The new coarse grid operators can be constructed directly based on the homogenizeddifferential operators or hierarchally computed from the finest grid. Convergence analysisbased on the homogenization theory is given for elliptic problems with periodic coefficientsand some hyperbolic problems. These are classes of equations for which there exists afairly complete theory for the interaction between shorter and longer wavelengths in theproblems. Numerical examples are presented.
Place, publisher, year, edition, pages
1993. 175-189 p.
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-90485OAI: oai:DiVA.org:kth-90485DiVA: diva2:505668
The Sixth Copper Mountain Conference on Multigrid methods
NR 201408052012-02-242012-02-24Bibliographically approved