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We introduce a novel variant of the recursive multilevel trust-region (RMTR) method, called MASTR.
SIAM journal on scientific and statistical computing 4
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SIAM journal on numerical analysis 31
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Conn, A.R., Gould, N.I.M., Toint, P.L.: Trust Region Methods · 2000
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Computing and Visualization in Science 4
Kornhuber, R., Krause, R.: Adaptive multigrid methods for Signorini’s problem in linear elasticity · 2001
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Numerical Linear Algebra with Applications 14
Domorádová, M., Dostál, Z.: Projector preconditioning for partially bound-constrained quadratic optimization · 2007
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IMA Journal of Numerical Analysis 28
Gratton, S., Mouffe, M., Toint, P., Weber Mendonca, M.: A recursive ℓ ∞ \ell_{\infty} -trust-region method for bound-constrained nonlinear optimization · 2008
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SIAM Journal on Scientific Computing 31
Krause, R.: A Nonsmooth Multiscale Method for Solving Frictional Two-Body Contact Problems in 2D and 3D with Multigrid Efficiency · 2009
Optimization Methods and Software 25
Gratton, S., Mouffe, M., Sartenaer, A., Toint, P.L., Tomanos, D.: Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization · 2010
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Computing 87
Vallejos, M.: MGOPT with gradient projection method for solving bilinear elliptic optimal control problems · 2010
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Optimization Methods and Software 31
Kočvara, M., Mohammed, S.: A first-order multigrid method for bound-constrained convex optimization · 2016
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https://bitbucket.org/zulianp/utopia (2016)
Zulian, P., Kopaničáková, A., Nestola, M.C.G., Fink, A., Fadel, N., Rigazzi, A., Magri, V., Schneider, T., Botter, E., Mankau, J., Krause, R.: Utopia: A C++ embedded domain specific language for scientific computing. Git repository · 2016
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Computer Methods in Applied Mechanics and Engineering 360
Kopaničáková, A., Krause, R.: A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture · 2020
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