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1 #Created by Kbib version 0.6.5
2 #Last modified: Mon Apr 6 21:30:13 2009
3
4
5 @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
12 }
13
14 @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 }
23
24 @book{AMG,
25 author = {Y. Shapira},
26 title = {Matrix-Based Multigrid},
27 publisher = {Springer},
28 year = {2008},
29
30 }
31
32 @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
40 }
41
42 @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
48 }
49
50 @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 method for
85 large deformation modeling of viscoelastic
86 geomaterials},
87 journal = {Journal of Computational Physics},
88 year = 2003,
89 number = 184,
90 pages = {476--497},
91
92 }
93
94 @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
101 }
102
103 @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
111 }
112
113 @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
122 }
123
124 @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
132 }
133
134 @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
142 }
143
144 @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
150 }
151
152 @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 year = {2006},
157 volume = {163},
158 number = {1-4},
159 pages = {23--34},
160
161 }
162
163 @article{VANKEKEN1997,
164 author = {P. E. van Keken and S. D. King and H. Schmeling and U. R. Christensen and D. Neumeister and M. P. Doin},
165 title = {A comparison of methods for the modeling of thermochemical convection},
166 journal = {J. Geophys. Res.},
167 year = {1997},
168 volume = {102},
169 number = {B10},
170 pages = {22477--22495},
171
172 }
173
174 @article{AAMIRBERKYAN2008,
175 author = {A. Amirberkyan and L. Gross},
176 title = {Efficient Solvers for Incompressible Fluid Flows in Geosciences},
177 journal = {ANZIAM Journal},
178 year = {2008},
179 volume = {50},
180 pages = {C189--C203},
181
182 }
183
184 @article{MBENZI2005,
185 author = {M. Benzi and G. H. Golub and J. Liesen},
186 title = {Numerical solution of saddle point problems},
187 journal = {Acta Numerica},
188 year = {2005},
189 volume = {14},
190 pages = {1--137},
191
192 }
193
194 @misc{OPENDX,
195 key = {opendx},
196 title = {{OpenDX}},
197 howpublished = {http://www.opendx.org/},
198 url = {http://www.opendx.org/},
199
200 }
201
202 @misc{netCDF,
203 key = {netcdf},
204 title = {{netCDF}},
205 howpublished = {http://www.unidata.ucar.edu/software/netcdf},
206 url = {http://www.unidata.ucar.edu/software/netcdf},
207
208 }
209
210 @misc{UMFPACK,
211 key = {umfpack},
212 howpublished = {http://www.cise.ufl.edu/research/sparse/umfpack/},
213 url = {http://www.cise.ufl.edu/research/sparse/umfpack/},
214
215 }
216
217 @misc{MKL,
218 key = {MKL},
219 title = {INTEL's Math Kernel Library},
220
221 }
222
223 @misc{VisIt,
224 key = {visit},
225 title = {{VisIt}},
226 howpublished = {https://wci.llnl.gov/codes/visit/home.html},
227 url = {https://wci.llnl.gov/codes/visit/home.html},
228
229 }
230
231 @misc{OPENMP,
232 key = {openmp},
233 title = {{OpenMP}},
234 howpublished = {http://openmp.org},
235 url = {http://openmp.org},
236
237 }
238
239 @misc{MPI,
240 key = {mpi},
241 title = {{MPI}},
242 howpublished = {http://www.mpi-forum.org},
243 url = {http://www.mpi-forum.org},
244
245 }
246
247 @book{LBB,
248 author = {Girault, V. and Raviart, P. A.},
249 title = {Finite Element Methods for Navier-Stokes Equations- Theory and Algorithms},
250 publisher = {Springer Verlag, Berlin},
251 year = 1986,
252
253 }
254
255 @manual{SCSL,
256 title = {SCSL (Scientific Computing Software Library)},
257 url = {http://www.sgi.com/products/software/irix/scsl.html},
258
259 }
260
261 @manual{GMSH,
262 title = {Gmsh Reference Manual},
263 author = {Christophe Geuzaine and Jean-Francois Remacle},
264 edition = {1.12},
265 month = {Aug},
266 year = 2003,
267 url = {http://www.geuz.org/gmsh},
268
269 }
270
271 @article{RILU,
272 author = {Y. Saad, B. Suchomel},
273 title = {ARMS: an algebraic recursive multilevel solver for general sparse linear systems},
274 journal = {Numerical Linear Algebra with Applications},
275 year = 2002,
276 volume = {9},
277 number = 5,
278 pages = {1099-1506},
279
280 }
281
282 @manual{RIGHTHANDRULE,
283 title = {Right-hand rule},
284 url = {http://en.wikipedia.org/wiki/Right-hand_rule},
285
286 }
287
288 @manual{TETGEN,
289 title = {TetGen: A Quality Tetrahedral Mesh Generator and Three-Dimensional Delaunay Triangulator},
290 author = {Hang Si},
291 month = {Jan},
292 year = 2008,
293 url = {http://tetgen.berlios.de},
294
295 }
296
297 @manual{NETGEN,
298 title = {Netgen 1.4},
299 author = {Tim Edwards},
300 url = {http://opencircuitdesign.com/netgen/},
301
302 }
303
304 @article{ELMAN,
305 author = {David Silvester, Howard Elman, David Kay and Andrew Wathen},
306 title = {Efficient Preconditioning of the Linearized Navier-Stokes Equations},
307 journal = {Journal of Computational and Applied Mathematics},
308 year = 2001,
309 number = 128,
310 pages = {261-279},
311
312 }
313
314 @article{LEASTSQUARESFEM1994,
315 author = {A. I. Pehlivanov, G. F. Carey and R. D. Lazarov},
316 title = {Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems},
317 journal = {SIAM Journal on Numerical Analysis},
318 year = 1994,
319 volume = {31},
320 number = 5,
321 pages = {1368-1377},
322 month = {October},
323
324 }
325
326 @article{Muhlhaus2005,
327 author = {Muhlhaus, Hans-Bernd; Regenauer-Lieb, Klaus},
328 title = {Towards a self-consistent plate mantle model that includes elasticity: simple benchmarks and application to basic modes of convection},
329 journal = {Geophysical Journal International},
330 year = 2005,
331 volume = {163},
332 number = 2,
333 pages = {788-800(13)},
334 month = {November},
335
336 }
337

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