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1 #Created by Kbib version 0.6.5
2 #Last modified: Wed May 20 10:08:05 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 = 2007,
157 volume = {163},
158 pages = {23--34},
159 month = {Aug.},
160 doi = {doi:10.1016/j.pepi.2007.04.004},
161
162 }
163
164 @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
173 }
174
175 @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
183 }
184
185 @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
193 }
194
195 @misc{OPENDX,
196 key = {opendx},
197 title = {{OpenDX}},
198 howpublished = {http://www.opendx.org/},
199 url = {http://www.opendx.org/},
200
201 }
202
203 @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 }
210
211 @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 }
217
218 @misc{MKL,
219 key = {MKL},
220 title = {INTEL's Math Kernel Library},
221
222 }
223
224 @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
230 }
231
232 @misc{OPENMP,
233 key = {openmp},
234 title = {{OpenMP}},
235 howpublished = {http://openmp.org},
236 url = {http://openmp.org},
237
238 }
239
240 @misc{MPI,
241 key = {mpi},
242 title = {{MPI}},
243 howpublished = {http://www.mpi-forum.org},
244 url = {http://www.mpi-forum.org},
245
246 }
247
248 @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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