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Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs (2009)
Journal Article
van Lent, J., Scheichl, R., & Graham, I. G. (2009). Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs. Numerical Linear Algebra with Applications, 16(10), 775-799. https://doi.org/10.1002/nla.641

Two-level overlapping Schwarz methods for elliptic partial differential equations combine local solves on overlapping domains with a global solve of a coarse approximation of the original problem. To obtain robust methods for equations with highly va... Read More about Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs.

An algebraic multigrid method for high order time-discretizations of the div-grad and the curl-curl equations (2009)
Journal Article
Boonen, T., Van lent, J., & Vandewalle, S. (2009). An algebraic multigrid method for high order time-discretizations of the div-grad and the curl-curl equations. Applied Numerical Mathematics, 59(3-4), 507-521. https://doi.org/10.1016/j.apnum.2008.03.004

We present an algebraic multigrid algorithm for fully coupled implicit Runge-Kutta and Boundary Value Method time-discretizations of the div-grad and curl-curl equations. The algorithm uses a blocksmoother and a multigrid hierarchy derived from the h... Read More about An algebraic multigrid method for high order time-discretizations of the div-grad and the curl-curl equations.