@article{BastianHorton91,
author = {P. Bastian and G. Horton},
title = {Parallelization of Robust Multigrid Methods: ILU Factorization and Frequency Decomposition Method},
journal = {SIAM J. Sci. Stat. Comput.},
year = {1991},
volume = {12},
number = {6},
pages = {1457-1470},
pdf = {../pdf/BastianHorton_SIAMJSSC_1991.pdf},
doi = {10.1137/0912079}
}
@article{ug,
author = {P. Bastian and K. Birken and S. Lang and K. Johannsen and N. Neu\ss
and H. {Rentz-Reichert} and C. Wieners},
title = {{UG}: {A} flexible software toolbox for solving partial
differential equations},
journal = {Computing and Visualization in Science},
volume = {1},
publisher = {Springer},
pages = {27--40},
year = {1997},
pdf = {../pdf/BastianBirkenJohannsenLangNeussRentzReichertWieners_CVS_1997.pdf},
doi = {10.1007/s007910050003}
}
@article{BEL97,
author = {P. Bastian and K. Eckstein and S. Lang},
title = {Parallel Adaptive Multigrid Methods in Plane Linear Elasticity Problems},
journal = {Numerical Linear Algebra with Applications},
year = {1997},
pdf = {../pdf/BastianEcksteinLang_NLAA_1997.pdf},
volume = {4},
number = {3},
pages = {153 -- 176}
}
@article{Bastian2,
author = {P. Bastian},
title = {Load Balancing for Adaptive Multigrid Methods},
journal = {SIAM J. Sci. Stat. Comput.},
volume = {19},
number = {4},
pages = {1303--1321},
year = {1998},
pdf = {../pdf/Bastian_SIAMJSSC_1998.pdf},
doi = {10.1137/S1064827596297562}
}
@article{mufte,
author = {R. Helmig and H. Class and R. Huber and H. Sheta and J. Ewing and
R. Hinkelmann and H. Jakobs and P. Bastian},
title = {Architecture of the modular program system {MUFTE}--{UG} for simulating multiphase flow and transport processes in heterogeneous porous media},
journal = {Mathematische Geologie},
year = {1998},
note = {Band 2}
}
@article{BHW98,
author = {P. Bastian and W. Hackbusch and G. Wittum},
title = {Additive and
Multiplicative Multigrid -- A Comparison},
journal = {Computing},
year = {1998},
volume = {60},
pages = {345--368},
doi = { 10.1007/BF02684380},
pdf = {../pdf/BastianHackbuschWittum_Computing_1998.pdf}
}
@article{BH99,
author = {P. Bastian and R. Helmig},
title = {Efficient fully-coupled solution techniques for two-phase flow in porous media. {P}arallel multigrid solution and large scale computations},
journal = {Adv. Water Res.},
volume = {23},
pages = {199--216},
year = {1999},
pdf = {../pdf/BastianHelmig_AWR_1999.pdf},
doi = {10.1016/S0309-1708(99)00014-7}
}
@article{CHB02,
author = {H. Class and R. Helmig and P. Bastian},
title = {Numerical simulation of non-isothermal multiphase multicomponent
processes in porous media. 1. {A}n efficient solution technique},
journal = {Adv. Wat. Res.},
volume = {25},
number = {5},
pages = {533--550},
year = {2002},
pdf = {../pdf/ClassHelmigBastian_AWR_2002.pdf},
doi = {10.1016/S0309-1708(02)00014-3}
}
@article{BastianRiviere,
author = {P. Bastian and B. Rivi{\`{e}}re},
title = {Superconvergence and {H}(div)-projection for discontinuous
{G}alerkin methods},
journal = {Int. J. Numer. Meth. Fluids.},
pages = {1043--1057},
volume = {42},
number = {10},
pdf = {../pdf/BastianRiviere_IJNME_2003.pdf},
year = {2003},
doi = {10.1002/fld.562}
}
@article{BastianLangCouplex,
author = {P. Bastian and S. Lang},
title = {Couplex Benchmark Computations with {UG}},
journal = {Computational Geosciences},
volume = {8},
pages = {125--147},
number = {2},
year = {2004},
pdf = {../pdf/BastianLang_CG_2004.pdf},
doi = {10.1023/B:COMG.0000035075.31334.a2}
}
@article{Kluft2004,
author = {V. Reichenberger and H. Jakobs and P. Bastian and R. Helmig},
title = {A mixed-dimensional finite volume method for multiphase flow in fractured porous media},
journal = {Adv. Wat. Res.},
volume = {29},
pages = {1020-1036},
number = {7},
year = {2006},
doi = {10.1016/j.advwatres.2005.09.001},
pdf = {../pdf/ReichenbergerJakobsBastianHelmig_AWR_2006.pdf}
}
@article{MonotoneELLAM,
author = {T. Neubauer and P. Bastian},
title = {On a monotonicity preserving {E}ulerian-{L}agrangian localized
adjoint method for advection-diffusion equations},
journal = {Adv. Wat. Res.},
year = {2005},
volume = {28},
pages = {1292--1309},
number = {12},
doi = {10.1016/j.advwatres.2005.04.010}
}
@article{adaptbioremed,
author = {{I. A.} Watson and {R. S.} Crouch and P. Bastian and {S. E.} Oswald},
title = {Advantages of using adaptive remeshing and parallel computing for modelling biodegradation in groundwater},
journal = {Adv. Wat. Res.},
year = {2005},
volume = {28},
pages = {1143--1158},
number = {11},
doi = {10.1016/j.advwatres.2005.01.003}
}
@article{BastianWieners2006,
author = {P. Bastian and C. Wieners},
title = {Multigrid Methods on Adaptively Refined Grids},
journal = {{IEEE} Computing in Science and Engineering},
year = {2006},
volume = {8},
number = {6},
pages = {44--54},
doi = {10.1109/MCSE.2006.116},
pdf = {../pdf/BastianWieners_IEEECiSE_2006.pdf}
}
@article{ippisch+2006,
author = {O. Ippisch and H.-J. Vogel and P. Bastian},
title = {Validity Limits for the van Genuchten-Mualem Model and Implications for Parameter Estimation and Numerical Simulation.},
journal = {Advances in Water Resources},
year = 2006,
volume = {29},
number = 12,
pages = {1780-1789},
doi = {10.1016/j.advwatres.2005.12.011}
}
@article{vogel+2006,
author = {H.-J. Vogel and I. Cousin and O. Ippisch and P. Bastian},
title = {The dominant role of structure for solute transport in soil. Experimental evidence and modelling of structure and transport.},
journal = {Hydrol. Earth Syst. Sci.},
year = 2006,
volume = {10},
number = 4,
pages = {495-506},
url = {http://www.hydrol-earth-syst-sci.net/10/495/2006/}
}
@article{DrouvelisSchmelcherBastian2006,
author = {{P. S.} Drouvelis and P.~Schmelcher and P.~Bastian},
title = {Parallel implementation of the recursive {G}reen's function method},
journal = {Journal of Computational Physics},
year = {2006},
volume = {215},
number = {2},
pages = {741-756},
note = {arXiv:cond-mat/0507415},
doi = {10.1016/j.jcp.2005.11.010},
pdf = {../pdf/DrouvelisSchmelcherBastian_JCP_2006.pdf}
}
@article{Dune2008a,
author = {P. Bastian and M. Blatt and A. Dedner and C. Engwer and R. Kl{\"{o}}fkorn and M. Ohlberger and O. Sander},
title = {A generic grid interface for parallel and adaptive scientific computing. Part {I}: abstract framework},
journal = {Computing},
year = {2008},
volume = {82},
number = {2-3},
pages = {103--119},
doi = {10.1007/s00607-008-0003-x},
pdf = {../pdf/BastianBlattDednerEngwerKloefkornOhlbergerSander_Computing_2008.pdf}
}
@article{Dune2008b,
author = {P. Bastian and M. Blatt and A. Dedner and C. Engwer and R. Kl{\"{o}}fkorn and R. Kornhuber and M. Ohlberger and O. Sander},
title = {A generic grid interface for parallel and adaptive scientific computing. Part {II}: implementation and tests in {DUNE}},
journal = {Computing},
year = {2008},
volume = {82},
number = {2-3},
pages = {121--138},
doi = {10.1007/s00607-008-0003-x},
pdf = {../pdf/BastianBlattDednerEngwerKloefkornKornhuberOhlbergerSander_Computing_2008.pdf}
}
@article{BastianBlatt2008,
author = {P. Bastian and M. Blatt},
title = {On the Generic Parallelisation of Iterative Solvers for the Finite Element Method},
journal = {Int. J. Computational Science and Engineering},
year = {2008},
volume = {4},
number = {1},
pages = {56--69},
doi = {10.1504/IJCSE.2008.021112},
pdf = {../pdf/BlattBastian_IJCSE_2008.pdf}
}
@article{BastianKrauserEngwerJaegerMarnachPtashnik2008,
author = {P. Bastian and A. Chavarria-Krauser and C. Engwer and W. J\"{a}ger and S. Marnach and M. Ptashnyk},
title = {Modelling in vitro growth of dense root networks},
journal = {Journal of Theoretical Biology},
year = {2008},
volume = {254},
number = {1},
pages = {99--109},
doi = {10.1016/j.jtbi.2008.04.014},
pdf = {../pdf/BastianChavarriaKrauserEngwerJaegerMarnachPtashnyk_YJTB1_2008.pdf}
}
@article{EngwerBastian2009,
author = {C. Engwer and P. Bastian},
title = {An Unfitted Finite Element Method using {D}iscontinuous {G}alerkin},
journal = {Int. J. Num. Meth. in Engineering},
year = {2009},
volume = {79},
number = {12},
pages = {1557--1576},
doi = {10.1002/nme.2631},
pdf = {../pdf/EngwerBastian_IJNME_2009.pdf}
}
@article{blatt09:cplusplus_dd,
author = {Markus Blatt and Peter Bastian},
title = { C++ Components Describing Parallel Domain
Decomposition and Communication},
journal = {International Journal of Parallel, Emergent and Distributed Systems},
year = 2009,
volume = {24},
number = {6},
pages = {467--477},
doi = {10.1080/17445760902758511},
pdf = {../pdf/BlattBastian_IJPEDS_2009.pdf}
}
@article{mamern2009,
title = {An Unfitted Discontinuous Galerkin method for pore-scale simulations of solute transport},
journal = {Mathematics and Computers in Simulation},
volume = {81},
number = {10},
pages = {2051 - 2061},
year = {2011},
issn = {0378-4754},
doi = {10.1016/j.matcom.2010.12.024},
url = {http://www.sciencedirect.com/science/article/pii/S0378475410004258},
author = {Peter Bastian and Christian Engwer and Jorrit Fahlke and Olaf Ippisch}
}
@article{pdelabalgoritmy,
author = {P. Bastian and F. Heimann and S. Marnach},
title = {Generic implementation of finite element
methods in the Distributed and Unified Numerics Environment ({DUNE})},
journal = {Kybernetika},
year = {2010},
volume = {46},
number = {2},
pages = {294--315}
}
@article{reconstruction2009,
author = {S. Lang and P. Drouvelis and E. Tafaj and P. Bastian and B. Sakmann},
title = {Fast extraction of neuron morphologies from large-scale SBFSEM image stacks},
journal = {J. Comput Neurosci},
year = {2011},
volume = {31},
number = {3},
pages = {533--545}
}
@article{amg4dg,
author = {Bastian, Peter and Blatt, Markus and Scheichl, Robert},
title = {Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems},
journal = {Numerical Linear Algebra with Applications},
volume = {19},
number = {2},
publisher = {John Wiley & Sons, Ltd},
issn = {1099-1506},
url = {http://dx.doi.org/10.1002/nla.1816},
doi = {10.1002/nla.1816},
pages = {367--388},
keywords = {interior penalty discontinuous Galerkin methods, elliptic PDEs, robustness for heterogeneous coefficients, subspace correction, aggregation-type algebraic multigrid},
year = {2012}
}
@article{twophase_2011,
author = {Heimann, F. and Engwer, C. and Ippisch, O. and Bastian, P.},
title = {An unfitted interior penalty discontinuous {G}alerkin method for incompressible {N}avier-{S}tokes two-phase flow},
journal = {International Journal for Numerical Methods in Fluids},
publisher = {John Wiley & Sons, Ltd},
issn = {1097-0363},
url = {http://dx.doi.org/10.1002/fld.3653},
doi = {10.1002/fld.3653},
pages = {n/a--n/a},
keywords = {discontinuous Galerkin, unfitted finite elements, Navier?Stokes, two-phase flow, Cartesian cut-cell methods, level set methods},
year = {2012}
}
@article{cise_2011,
author = {Remmel, H. and Paech, B. and Bastian, P. and Engwer, C.},
journal = {Computing in Science Engineering},
title = {System Testing a Scientific Framework Using a Regression-Test Environment},
year = {2012},
month = {march-april },
volume = {14},
number = {2},
pages = {38 -45},
keywords = {DUNE;complex scientific framework;distributed-and-unified numerics environment;regression-test environment;software product line engineering;system testing;variability modeling;distributed processing;program testing;regression analysis;},
doi = {10.1109/MCSE.2011.115},
issn = {1521-9615}
}
@article{parallelgeostatiscalinversion_2011,
title = {Efficient parallelization of geostatistical inversion using the quasi-linear approach},
journal = {Computers \& Geosciences},
volume = {44},
number = {0},
pages = {78 - 85},
year = {2012},
note = {},
issn = {0098-3004},
doi = {10.1016/j.cageo.2012.03.014},
url = {http://www.sciencedirect.com/science/article/pii/S0098300412001021},
author = {Ronnie L. Schwede and Adrian Ngo and Peter Bastian and Olaf Ippisch and Wei Li and Olaf A. Cirpka},
keywords = {Parallel computing},
keywords = {Geostatistical inversion},
keywords = {Adjoint},
keywords = {Parallelization}
}
@article{virtualsoils_2011,
author = {S. Schlüter and {H.-J.} Vogel and O. Ippisch and P. Bastian and K. Roth and G. Schenk and H. Schelle and W. Durner and R. Kasteel and J. Vanderborght },
title = {Virtual soils: Assessment of the effects of soil structure on the hydraulic behavior of cultivated soils},
journal = {Vadose Zone Journal},
year = {2011},
note = {submitted}
}
@article{co2_2011,
year = {2012},
issn = {1420-0597},
journal = {Computational Geosciences},
doi = {10.1007/s10596-012-9321-3},
title = {Modeling and simulation of two-phase two-component flow with disappearing nonwetting phase},
publisher = {Springer Netherlands},
keywords = {Two-phase flow; Multicomponent flow; Porous medium; CO2 storage; 76S05; 35Q86},
author = {Neumann, Rebecca and Bastian, Peter and Ippisch, Olaf},
pages = {1-11},
language = {English}
}
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