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1 gross 2371 #Created by Kbib version 0.6.5
2 gross 2432 #Last modified: Wed May 20 10:08:05 2009
3 jgs 102
4    
5 gross 2371 @book{SAAD,
6     author = {Y. Saad},
7     title = {Iterative Methods for Sparse Linear Systems},
8     publisher = {PWS Publishing Company},
9     year = {1996},
10     address = {20 Park Plaza, Boston, MA 02116, USA},
11 jgs 102
12 gross 2371 }
13 jfenwick 1966
14 gross 2371 @book{WEISS,
15     author = {R. Weiss},
16     title = {Parameter-Free Iterative Linear Solvers},
17     publisher = {Akademie Verlag},
18     year = {1996},
19     series = {Mathematical Research, vol.\ 97},
20     address = {Berlin},
21    
22 jfenwick 1966 }
23    
24 gross 2371 @book{AMG,
25     author = {Y. Shapira},
26     title = {Matrix-Based Multigrid},
27     publisher = {Springer},
28     year = {2008},
29 jfenwick 1966
30 gross 2371 }
31 jgs 102
32 gross 2371 @book{NumHand,
33     author = {P.~G. Ciarlet and J.~L. Lions},
34     title = {Handbook of Numerical Analysis},
35     publisher = {North Holland},
36     year = {1991},
37     volume = {2},
38     address = {Amsterdam},
39 jgs 102
40 gross 2371 }
41 jgs 102
42 gross 2371 @inproceedings{NUMARRAY,
43     author = {Perry Greenfield, Todd Miller, Jin-Chung Hsu and Richard L. White},
44     title = {An Array Module for Python},
45     booktitle = {Astronomical Data Analysis Software and Systems XI},
46     year = {2001},
47 jgs 102
48 jgs 113 }
49    
50 gross 2371 @book{Zienc,
51     author = {O.~C. Zienkiewicz},
52     title = {The Finite Element Method in Engineering Science},
53     publisher = {McGraw-Hill},
54     year = {1971},
55     address = {London},
56     edition = {second},
57    
58     }
59    
60     @article{SUPG2,
61     author = {H.C. Elman and A. Ramage},
62     title = {An Analysis of Smoothing Effects of Upwinding Strategies For The Convection-Diffusion Equation},
63     journal = {SIAM J. Numer. Anal.},
64     year = {2002},
65     volume = {40},
66     number = {1},
67     pages = {254--281},
68    
69     }
70    
71     @book{TURCOTTE2002,
72     author = {Donald L. Turcotte and Gerald Schubert},
73     title = {Geodynamics},
74     publisher = {Cambridge University Press},
75     year = 2002,
76     edition = {Second},
77    
78     }
79    
80     @article{MORESI2003,
81     author = {L. Moresi and F. Dufour and H. \-B. M
82     {\"u}hlhaus},
83     title = {A {Lagrangian} integration point finite element
84 jgs 113 method for
85     large deformation modeling of viscoelastic
86 gross 2371 geomaterials},
87     journal = {Journal of Computational Physics},
88     year = 2003,
89     number = 184,
90     pages = {476--497},
91    
92 jgs 113 }
93    
94 gross 2371 @article{GROSZ99c,
95     author = {L.~Grosz},
96     title = {Preconditioning by Incomplete Block Elimination},
97     journal = {J. of Num. Lin. Alg. with Appl.},
98     year = {2000},
99     note = {to appear},
100 jgs 102
101 gross 2371 }
102 lgraham 1700
103 gross 2371 @book{VTK,
104     author = {The Kitware, Inc},
105     title = {Visualization Toolkit User's Guide.},
106     publisher = {Kitware, Inc publishers.},
107     year = {1971},
108     address = {London},
109     edition = {second},
110 lgraham 1700
111 gross 2371 }
112 lgraham 1700
113 gross 2371 @article{BOURGOUIN2006,
114     author = {L. Bourgouin and H. Muhlhaus and A. J. Hale and A. Arsac},
115     title = {Towards realistic simulations of lava dome growth using the level set method},
116     journal = {Acta Geotechnica},
117     year = {2006},
118     volume = {1},
119     number = {4},
120     pages = {225--236},
121 lgraham 1700
122 gross 2371 }
123 lgraham 2115
124 gross 2371 @article{SUSSMAN1994,
125     author = {M. Sussman and P. Smereka and S. Osher},
126     title = {A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow},
127     journal = {Journal of Computational Physics},
128     year = {1994},
129     volume = {114},
130     pages = {146--159},
131 lgraham 2115
132 gross 2371 }
133 lgraham 2115
134 gross 2371 @article{LIN2005,
135     author = {C. Lin and H. Lee and T. Lee and L. J. Weber},
136     title = {A Level Set Characteristic Galerkin Finite Element Method for Free Surface Flows},
137     journal = {International Journal for Numerical Methods in Fluids},
138     year = {2005},
139     volume = {49},
140     pages = {521--547},
141 lgraham 2115
142 gross 2371 }
143 lgraham 1700
144 gross 2371 @article{SUCKALE2008,
145     author = {J. Suckale and J. C. Have},
146     title = {An alternative numerical model of buoyancy driven flows},
147     year = {2008},
148     pages = {1--43},
149 lgraham 1700
150 gross 2371 }
151 lgraham 1700
152 gross 2371 @article{GROSS2006,
153     author = {L. Gross and L. Bourgouin and A. J. Hale and H.-B Muhlhaus},
154     title = {Interface Modeling in Incompressible Media using Level Sets in Escript},
155     journal = {Physics of the Earth and Planetary Interiors},
156 gross 2432 year = 2007,
157 gross 2371 volume = {163},
158     pages = {23--34},
159 gross 2432 month = {Aug.},
160     doi = {doi:10.1016/j.pepi.2007.04.004},
161 lgraham 1700
162 gross 2371 }
163 lgraham 1700
164 gross 2371 @article{VANKEKEN1997,
165     author = {P. E. van Keken and S. D. King and H. Schmeling and U. R. Christensen and D. Neumeister and M. P. Doin},
166     title = {A comparison of methods for the modeling of thermochemical convection},
167     journal = {J. Geophys. Res.},
168     year = {1997},
169     volume = {102},
170     number = {B10},
171     pages = {22477--22495},
172 lgraham 1700
173 gross 2371 }
174 lgraham 1700
175 gross 2371 @article{AAMIRBERKYAN2008,
176     author = {A. Amirberkyan and L. Gross},
177     title = {Efficient Solvers for Incompressible Fluid Flows in Geosciences},
178     journal = {ANZIAM Journal},
179     year = {2008},
180     volume = {50},
181     pages = {C189--C203},
182 lgraham 1700
183 gross 2371 }
184 lgraham 1700
185 gross 2371 @article{MBENZI2005,
186     author = {M. Benzi and G. H. Golub and J. Liesen},
187     title = {Numerical solution of saddle point problems},
188     journal = {Acta Numerica},
189     year = {2005},
190     volume = {14},
191     pages = {1--137},
192 lgraham 1700
193 gross 2371 }
194 jfenwick 1966
195 gross 2371 @misc{OPENDX,
196     key = {opendx},
197     title = {{OpenDX}},
198     howpublished = {http://www.opendx.org/},
199     url = {http://www.opendx.org/},
200 lgraham 2115
201 gross 2371 }
202 jfenwick 1966
203 gross 2371 @misc{netCDF,
204     key = {netcdf},
205     title = {{netCDF}},
206     howpublished = {http://www.unidata.ucar.edu/software/netcdf},
207     url = {http://www.unidata.ucar.edu/software/netcdf},
208    
209 jfenwick 1966 }
210    
211 gross 2371 @misc{UMFPACK,
212     key = {umfpack},
213     howpublished = {http://www.cise.ufl.edu/research/sparse/umfpack/},
214     url = {http://www.cise.ufl.edu/research/sparse/umfpack/},
215    
216 jfenwick 1966 }
217    
218 gross 2371 @misc{MKL,
219     key = {MKL},
220     title = {INTEL's Math Kernel Library},
221    
222 jfenwick 1966 }
223    
224 gross 2371 @misc{VisIt,
225     key = {visit},
226     title = {{VisIt}},
227     howpublished = {https://wci.llnl.gov/codes/visit/home.html},
228     url = {https://wci.llnl.gov/codes/visit/home.html},
229 jfenwick 1966
230     }
231    
232 gross 2371 @misc{OPENMP,
233     key = {openmp},
234     title = {{OpenMP}},
235     howpublished = {http://openmp.org},
236     url = {http://openmp.org},
237 lgraham 2128
238     }
239    
240 gross 2371 @misc{MPI,
241     key = {mpi},
242     title = {{MPI}},
243     howpublished = {http://www.mpi-forum.org},
244     url = {http://www.mpi-forum.org},
245    
246 jfenwick 2331 }
247    
248 gross 2371 @book{LBB,
249     author = {Girault, V. and Raviart, P. A.},
250     title = {Finite Element Methods for Navier-Stokes Equations- Theory and Algorithms},
251     publisher = {Springer Verlag, Berlin},
252     year = 1986,
253    
254     }
255    
256     @manual{SCSL,
257     title = {SCSL (Scientific Computing Software Library)},
258     url = {http://www.sgi.com/products/software/irix/scsl.html},
259    
260     }
261    
262     @manual{GMSH,
263     title = {Gmsh Reference Manual},
264     author = {Christophe Geuzaine and Jean-Francois Remacle},
265     edition = {1.12},
266     month = {Aug},
267     year = 2003,
268     url = {http://www.geuz.org/gmsh},
269    
270     }
271    
272     @article{RILU,
273     author = {Y. Saad, B. Suchomel},
274     title = {ARMS: an algebraic recursive multilevel solver for general sparse linear systems},
275     journal = {Numerical Linear Algebra with Applications},
276     year = 2002,
277     volume = {9},
278     number = 5,
279     pages = {1099-1506},
280    
281     }
282    
283     @manual{RIGHTHANDRULE,
284     title = {Right-hand rule},
285     url = {http://en.wikipedia.org/wiki/Right-hand_rule},
286    
287     }
288    
289     @manual{TETGEN,
290     title = {TetGen: A Quality Tetrahedral Mesh Generator and Three-Dimensional Delaunay Triangulator},
291     author = {Hang Si},
292     month = {Jan},
293     year = 2008,
294     url = {http://tetgen.berlios.de},
295    
296     }
297    
298     @manual{NETGEN,
299     title = {Netgen 1.4},
300     author = {Tim Edwards},
301     url = {http://opencircuitdesign.com/netgen/},
302    
303     }
304    
305     @article{ELMAN,
306     author = {David Silvester, Howard Elman, David Kay and Andrew Wathen},
307     title = {Efficient Preconditioning of the Linearized Navier-Stokes Equations},
308     journal = {Journal of Computational and Applied Mathematics},
309     year = 2001,
310     number = 128,
311     pages = {261-279},
312    
313     }
314    
315     @article{LEASTSQUARESFEM1994,
316     author = {A. I. Pehlivanov, G. F. Carey and R. D. Lazarov},
317     title = {Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems},
318     journal = {SIAM Journal on Numerical Analysis},
319     year = 1994,
320     volume = {31},
321     number = 5,
322     pages = {1368-1377},
323     month = {October},
324    
325     }
326    
327     @article{Muhlhaus2005,
328     author = {Muhlhaus, Hans-Bernd; Regenauer-Lieb, Klaus},
329     title = {Towards a self-consistent plate mantle model that includes elasticity: simple benchmarks and application to basic modes of convection},
330     journal = {Geophysical Journal International},
331     year = 2005,
332     volume = {163},
333     number = 2,
334     pages = {788-800(13)},
335     month = {November},
336    
337     }
338    

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