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fyi, here is what gets printed when I make ex2:<br>
<br>
sg-macbook-prolocal:tutorials sg$ make ex2<br>
/Users/sg/petsc-3.3-p5/gnu_shared/bin/mpicc -o ex2.o -c -fPIC -Wall
-Wwrite-strings -Wno-strict-aliasing -Wno-unknown-pragmas -g3
-fno-inline -O0 -I/Users/sg/petsc-3.3-p5/include
-I/Users/sg/petsc-3.3-p5/gnu_shared/include
-D__INSDIR__=src/ksp/ksp/examples/tutorials/ ex2.c<br>
<br>
/Users/sg/petsc-3.3-p5/gnu_shared/bin/mpicc
-Wl,-multiply_defined,suppress -Wl,-multiply_defined -Wl,suppress
-Wl,-commons,use_dylibs -Wl,-search_paths_first
-Wl,-multiply_defined,suppress -Wl,-multiply_defined -Wl,suppress
-Wl,-commons,use_dylibs -Wl,-search_paths_first -fPIC -Wall
-Wwrite-strings -Wno-strict-aliasing -Wno-unknown-pragmas -g3
-fno-inline -O0 -o ex2 ex2.o
-L/Users/sg/petsc-3.3-p5//gnu_shared/lib
-L/Users/sg/petsc-3.3-p5/gnu_shared/lib -lpetsc -L/usr/X11R6/lib
-lX11 -lpromfei -lprometheus
-L/usr/local/lib/gcc/x86_64-apple-darwin11.4.0/4.8.0
-L/usr/local/lib -lmpichcxx -lstdc++ -lsuperlu_dist_3.1 -lparmetis
-lmetis -lHYPRE -lmpichcxx -lstdc++ -lml -lmpichcxx -lstdc++
-lpthread -lspooles -llapack -lblas -ldl -lmpichf90 -lpthread
-lgfortran -lgfortran -lquadmath -lm -lm -lmpichcxx -lstdc++
-lpmpich -lmpich -lopa -lmpl -lSystem -lgcc_ext.10.5 -ldl <br>
/bin/rm -f ex2.o<br>
<br>
<div class="moz-cite-prefix">On 12/26/12 6:46 PM, Matthew Knepley
wrote:<br>
</div>
<blockquote
cite="mid:CAMYG4GmMiZqkeCS-X-KB2nkZD=8UWhBZ90TkbWhHbYpTA7jXrg@mail.gmail.com"
type="cite">
<div dir="ltr">On Wed, Dec 26, 2012 at 8:34 PM, Sanjay Govindjee <span
dir="ltr"><<a moz-do-not-send="true"
href="mailto:s_g@berkeley.edu" target="_blank">s_g@berkeley.edu</a>></span>
wrote:<br>
<div class="gmail_extra">
<div class="gmail_quote">
<blockquote class="gmail_quote" style="margin:0 0 0
.8ex;border-left:1px #ccc solid;padding-left:1ex">
<div bgcolor="#FFFFFF" text="#000000"> For what it is
worth. I ran the problems with valgrind (before I built
the --with-shared-libraries version).<br>
With spooles the run is essentially clean. With superlu
I see lots of errors of the type:<br>
</div>
</blockquote>
<div><br>
</div>
<div style="">This looks like a well-known MPICH problem
with valgrind reporting. However, these</div>
<div style="">stacks look strange. You should have source
line numbers if this is compiled with debugging</div>
<div style="">and you should have the whole stack for MPICH.</div>
<div style=""><br>
</div>
<div style="">Also, why is libquadmath being linked?</div>
<div style=""><br>
</div>
<div style=""> Matt</div>
<div> </div>
<blockquote class="gmail_quote" style="margin:0 0 0
.8ex;border-left:1px #ccc solid;padding-left:1ex">
<div bgcolor="#FFFFFF" text="#000000"> ==91099== Syscall
param writev(vector[...]) points to uninitialised
byte(s)<br>
==91099== at 0x1245FF2: writev (in
/usr/lib/system/libsystem_kernel.dylib)<br>
==91099== by 0x101209846: MPIDU_Sock_writev (in
./ex2)<br>
==91099== by 0x101A2BA23: ???<br>
==91099== by 0x1FFFFFFFB: ???<br>
==91099== by 0x101A2BA0F: ???<br>
==91099== by 0x10852053F: ???<br>
==91099== by 0x101A24907: ???<br>
==91099== by 0x7FFF5FBFE2DF: ???<br>
==91099== by 0x1: ???<br>
==91099== by 0x10120AF13: MPIDI_CH3_iSendv (in ./ex2)<br>
==91099== Address 0x10712d0c8 is 136 bytes inside a
block of size 1,661,792 alloc'd<br>
==91099== at 0xC713: malloc (vg_replace_malloc.c:271)<br>
==91099== by 0x100D5C6DF: superlu_malloc_dist (in
./ex2)<br>
==91099== by 0x100D23375: doubleMalloc_dist (in
./ex2)<br>
==91099== by 0x100D415C1: pdgstrs (in ./ex2)<br>
==91099== by 0x100D3F852: pdgssvx (in ./ex2)<br>
==91099== by 0x1007E5D38: MatSolve_SuperLU_DIST (in
./ex2)<br>
==91099== by 0x1002BDA1E: MatSolve (in ./ex2)<br>
==91099== by 0x1009EAF55: PCApply_LU (in ./ex2)<br>
==91099== by 0x100AAE053: PCApply (in ./ex2)<br>
==91099== by 0x100B1BCEE: KSPSolve_PREONLY (in ./ex2)<br>
==91099== by 0x100B54F55: KSPSolve (in ./ex2)<br>
==91099== by 0x1000022FC: main (in ./ex2)
<div>
<div class="h5"><br>
<br>
<br>
<div>On 12/26/12 5:24 PM, Sanjay Govindjee wrote:<br>
</div>
<blockquote type="cite"> I have re-configured/built
using:<br>
<br>
./configure PETSC_ARCH=gnu_shared
-download-{spooles,parmetis,superlu_dist,prometheus,mpich,ml,hypre,metis}
--with-shared-libraries<br>
<br>
make PETSC_ARCH=gnu_shared all<br>
<br>
make PETSC_ARCH=gnu_shared test<br>
<br>
<br>
Using the same test problem
(src/ksp/ksp/examples/tutorials/ex2.c), on the
100x100 case I get:<br>
<br>
sg-macbook-prolocal:tutorials sg$ make
PETSC_ARCH=gnu_shared runex2spooles<br>
Norm of error 2.21422e-12 iterations 1<br>
sg-macbook-prolocal:tutorials sg$ make
PETSC_ARCH=gnu_shared runex2superlu<br>
Norm of error 7.66145e-13 iterations 1<br>
<br>
One the 500x500 case I get:<br>
<br>
sg-macbook-prolocal:tutorials sg$ make
PETSC_ARCH=gnu_shared runex2spooles<br>
Norm of error 2.69468e-10 iterations 1<br>
sg-macbook-prolocal:tutorials sg$ make
PETSC_ARCH=gnu_shared runex2superlu<br>
Norm of error 419.953 iterations 1<br>
<br>
otool shows:<br>
<br>
sg-macbook-prolocal:tutorials sg$ otool -L ex2<br>
ex2:<br>
/Users/sg/petsc-3.3-p5/gnu_shared/lib/libpetsc.dylib
(compatibility version 0.0.0, current version
0.0.0)<br>
/usr/X11/lib/libX11.6.dylib (compatibility
version 10.0.0, current version 10.0.0)<br>
/Users/sg/petsc-3.3-p5/gnu_shared/lib/libmpichcxx.dylib
(compatibility version 0.0.0, current version
3.0.0)<br>
/usr/local/lib/libstdc++.6.dylib
(compatibility version 7.0.0, current version
7.17.0)<br>
/Users/sg/petsc-3.3-p5/gnu_shared/lib/libparmetis.dylib
(compatibility version 0.0.0, current version
0.0.0)<br>
/Users/sg/petsc-3.3-p5/gnu_shared/lib/libmetis.dylib
(compatibility version 0.0.0, current version
0.0.0)<br>
/System/Library/Frameworks/Accelerate.framework/Versions/A/Frameworks/vecLib.framework/Versions/A/libLAPACK.dylib
(compatibility version 1.0.0, current version
1.0.0)<br>
/System/Library/Frameworks/Accelerate.framework/Versions/A/Frameworks/vecLib.framework/Versions/A/libBLAS.dylib
(compatibility version 1.0.0, current version
1.0.0)<br>
/Users/sg/petsc-3.3-p5/gnu_shared/lib/libmpichf90.dylib
(compatibility version 0.0.0, current version
3.0.0)<br>
/usr/local/lib/libgfortran.3.dylib
(compatibility version 4.0.0, current version
4.0.0)<br>
/usr/local/lib/libquadmath.0.dylib
(compatibility version 1.0.0, current version
1.0.0)<br>
/Users/sg/petsc-3.3-p5/gnu_shared/lib/libpmpich.dylib
(compatibility version 0.0.0, current version
3.0.0)<br>
/Users/sg/petsc-3.3-p5/gnu_shared/lib/libmpich.dylib
(compatibility version 0.0.0, current version
3.0.0)<br>
/Users/sg/petsc-3.3-p5/gnu_shared/lib/libopa.1.dylib
(compatibility version 2.0.0, current version
2.0.0)<br>
/Users/sg/petsc-3.3-p5/gnu_shared/lib/libmpl.1.dylib
(compatibility version 3.0.0, current version
3.0.0)<br>
/usr/lib/libSystem.B.dylib (compatibility
version 1.0.0, current version 159.1.0)<br>
/usr/local/lib/libgcc_s.1.dylib (compatibility
version 1.0.0, current version 1.0.0)<br>
<br>
<br>
<br>
<br>
<div>On 12/26/12 3:08 PM, Matthew Knepley wrote:<br>
</div>
<blockquote type="cite">
<div dir="ltr"><br>
<div class="gmail_extra">On Wed, Dec 26, 2012
at 4:38 PM, Sanjay Govindjee <span
dir="ltr"><<a moz-do-not-send="true"
href="mailto:s_g@berkeley.edu"
target="_blank">s_g@berkeley.edu</a>></span>
wrote:<br>
<div class="gmail_quote">
<blockquote class="gmail_quote"
style="margin:0 0 0 .8ex;border-left:1px
#ccc solid;padding-left:1ex">I have a
macbook pro (Mac OS X 10.7.5)<br>
<br>
% uname -a<br>
Darwin sg-macbook-prolocal.local 11.4.2
Darwin Kernel Version 11.4.2: Thu Aug 23
16:25:48 PDT 2012;
root:xnu-1699.32.7~1/RELEASE_X86_64
x86_64<br>
<br>
I configured using:
<div><br>
<br>
./configure --with-cc=icc
--with-fc=ifort
-download-{spooles,parmetis,superlu_dist,prometheus,mpich,ml,hypre,metis}<br>
<br>
</div>
so everything was built together.</blockquote>
<div><br>
</div>
<div>Since</div>
<div><br>
</div>
<div> a) you have tried other compilers</div>
<div><br>
</div>
<div> b) we cannot reproduce it</div>
<div><br>
</div>
<div> c) we are building the library
during configure</div>
<div><br>
</div>
<div>I would guess that some outside
library, in your default link path, is
contaminating</div>
<div>the executable with symbols which
override some of those in SuperLU. The
SuperLU</div>
<div>people are not super careful about
naming. Could you</div>
<div><br>
</div>
<div> 1) Try this same exercise using
--with-shared-libraries</div>
<div><br>
</div>
<div> 2) Once you do that, use otool -L
on the executable so we can see where
everything comes from</div>
<div><br>
</div>
<div> Thanks,</div>
<div><br>
</div>
<div> Matt</div>
<div> </div>
<blockquote class="gmail_quote"
style="margin:0 0 0 .8ex;border-left:1px
#ccc solid;padding-left:1ex">
<div>
<div> On 12/26/12 1:34 PM, Hong Zhang
wrote:<br>
<blockquote class="gmail_quote"
style="margin:0 0 0
.8ex;border-left:1px #ccc
solid;padding-left:1ex"> Sanjay:<br>
<blockquote class="gmail_quote"
style="margin:0 0 0
.8ex;border-left:1px #ccc
solid;padding-left:1ex">
hmmm....I guess that is good
news -- in that superlu is not
broken. However,<br>
for me<br>
not so good news since I seems
that there is nasty bug lurking
on my<br>
machine.<br>
<br>
Any suggestions on chasing down
the error?<br>
</blockquote>
How did you install your
supelu_dist with petsc-3.3?<br>
What machine do you use?<br>
<br>
Hong<br>
<blockquote class="gmail_quote"
style="margin:0 0 0
.8ex;border-left:1px #ccc
solid;padding-left:1ex"> <br>
On 12/26/12 1:23 PM, Hong Zhang
wrote:<br>
<blockquote class="gmail_quote"
style="margin:0 0 0
.8ex;border-left:1px #ccc
solid;padding-left:1ex">
Sanjay:<br>
I get<br>
petsc-3.3/src/ksp/ksp/examples/tutorials>mpiexec
-n 2 ./ex2<br>
-ksp_monitor_short -ksp_type
preonly -pc_type lu<br>
-pc_factor_mat_solver_package
superlu_dist -m 500 -n 500<br>
Norm of error 1.92279e-11
iterations 1<br>
<br>
Hong<br>
<br>
<blockquote
class="gmail_quote"
style="margin:0 0 0
.8ex;border-left:1px #ccc
solid;padding-left:1ex"> I
have done some more testing
of the problem, continuing
with<br>
src/ksp/ksp/examples/tutorials/ex2.c.<br>
<br>
The behavior I am seeing is
that with smaller problems
sizes superlu_dist<br>
is<br>
behaving properly<br>
but with larger problem
sizes things seem to go
wrong and what goes wrong<br>
is<br>
apparently consistent; the
error appears both with my
intel build as well<br>
as<br>
with my gcc build.<br>
<br>
I have two run lines:<br>
<br>
runex2superlu:<br>
-@${MPIEXEC} -n 2
./ex2 -ksp_monitor_short -m
100 -n 100<br>
-ksp_type<br>
preonly -pc_type lu
-pc_factor_mat_solver_package
superlu_dist<br>
<br>
runex2spooles:<br>
-@${MPIEXEC} -n 2
./ex2 -ksp_monitor_short -m
100 -n 100<br>
-ksp_type<br>
preonly -pc_type lu
-pc_factor_mat_solver_package
spooles<br>
<br>
From my intel build, I get<br>
<br>
sg-macbook-prolocal:tutorials
sg$ make runex2superlu<br>
Norm of error 7.66145e-13
iterations 1<br>
sg-macbook-prolocal:tutorials
sg$ make runex2spooles<br>
Norm of error 2.21422e-12
iterations 1<br>
<br>
From my GCC build, I get<br>
sg-macbook-prolocal:tutorials
sg$ make runex2superlu<br>
Norm of error 7.66145e-13
iterations 1<br>
sg-macbook-prolocal:tutorials
sg$ make runex2spooles<br>
Norm of error 2.21422e-12
iterations 1<br>
<br>
If I change the -m 100 -n
100 to -m 500 -n 500, I get
for my intel build<br>
<br>
sg-macbook-prolocal:tutorials
sg$ make runex2superlu<br>
Norm of error 419.953
iterations 1<br>
sg-macbook-prolocal:tutorials
sg$ make runex2spooles<br>
Norm of error 2.69468e-10
iterations 1<br>
<br>
From my GCC build with -m
500 -n 500, I get<br>
<br>
sg-macbook-prolocal:tutorials
sg$ make runex2superlu<br>
Norm of error 419.953
iterations 1<br>
sg-macbook-prolocal:tutorials
sg$ make runex2spooles<br>
Norm of error 2.69468e-10
iterations 1<br>
<br>
<br>
Any suggestions will be
greatly appreciated.<br>
<br>
-sanjay<br>
<br>
<br>
<br>
<br>
<br>
<br>
<br>
On 12/23/12 6:42 PM, Matthew
Knepley wrote:<br>
<br>
<br>
On Sun, Dec 23, 2012 at 9:37
PM, Sanjay Govindjee <<a
moz-do-not-send="true"
href="mailto:s_g@berkeley.edu"
target="_blank">s_g@berkeley.edu</a>><br>
wrote:<br>
<blockquote
class="gmail_quote"
style="margin:0 0 0
.8ex;border-left:1px #ccc
solid;padding-left:1ex"> I
decided to go with
ksp/ksp/exampeles/tutorials/ex2.c;
I was unsure how<br>
to convert the run lines
for snes/examples/ex5.c to
work with a direct<br>
solver as I am not versed
in SNES options.<br>
<br>
Notwithstanding something
strange is happening only
on select examples.<br>
With
ksp/ksp/exampeles/tutorials/ex2.c
and the run line:<br>
<br>
-@${MPIEXEC} -n 2 ./ex2
-ksp_monitor_short -m 20
-n 20 -ksp_type preonly<br>
-pc_type lu
-pc_factor_mat_solver_package
superlu_dist<br>
<br>
I get good results (of the
order):<br>
<br>
Norm of error 1.85464e-14
iterations 1<br>
<br>
using both superlu_dist
and spooles.<br>
<br>
My BLAS/LAPACK: -llapack
-lblas (so native to my
machine).<br>
<br>
If you can guide me on a
run line for the snes
ex5.c I can try that too.<br>
I'll also try to construct
a GCC build later to see
if that is an issue.<br>
</blockquote>
<br>
Same line on ex5, but ex2 is
good enough. However, it
will not tell us<br>
anything new. Try another
build.<br>
<br>
Matt<br>
<br>
<blockquote
class="gmail_quote"
style="margin:0 0 0
.8ex;border-left:1px #ccc
solid;padding-left:1ex">
-sanjay<br>
<br>
<br>
On 12/23/12 5:58 PM,
Matthew Knepley wrote:<br>
<br>
On Sun, Dec 23, 2012 at
8:08 PM, Sanjay Govindjee
<<a
moz-do-not-send="true"
href="mailto:s_g@berkeley.edu"
target="_blank">s_g@berkeley.edu</a>><br>
wrote:<br>
<blockquote
class="gmail_quote"
style="margin:0 0 0
.8ex;border-left:1px
#ccc
solid;padding-left:1ex">
Not sure what you mean
by where is your matrix?
I am simply running<br>
ex6<br>
in the
ksp/examples/tests
directory.<br>
<br>
The reason I ran this
test is because I was
seeing the same behavior<br>
with<br>
my finite element code
(on perfectly benign
problems).<br>
<br>
Is there a built-in test
that you use to check
that superlu_dist is<br>
working properly with
petsc?<br>
i.e. something you know
that works with with
petsc 3.3-p5?<br>
</blockquote>
<br>
1) Run it on a SNES ex5
(or KSP ex2), which is a
nice Laplacian<br>
<br>
2) Compare with MUMPS<br>
<br>
Matt<br>
<br>
<blockquote
class="gmail_quote"
style="margin:0 0 0
.8ex;border-left:1px
#ccc
solid;padding-left:1ex">
-sanjay<br>
<br>
<br>
<br>
On 12/23/12 4:56 PM, Jed
Brown wrote:<br>
<br>
Where is your matrix? It
might be ending up with
a very bad pivot. If<br>
the<br>
problem can be
reproduced, it should be
reported to the
SuperLU_DIST<br>
developers to fix. (Note
that we do not see this
with other matrices.)<br>
You<br>
can also try MUMPS.<br>
<br>
<br>
On Sun, Dec 23, 2012 at
6:48 PM, Sanjay
Govindjee <<a
moz-do-not-send="true"
href="mailto:s_g@berkeley.edu" target="_blank">s_g@berkeley.edu</a>><br>
wrote:<br>
<blockquote
class="gmail_quote"
style="margin:0 0 0
.8ex;border-left:1px
#ccc
solid;padding-left:1ex">
I wanted to use
SuperLU Dist to
perform a direct solve
but seem to be<br>
encountering<br>
a problem. I was
wonder if this is a
know issue and if
there is a<br>
solution for it.<br>
<br>
The problem is easily
observed using ex6.c
in<br>
src/ksp/ksp/examples/tests.<br>
<br>
Out of the box: make
runex6 produces a
residual error of
O(1e-11), all<br>
is well.<br>
<br>
I then changed the run
to run on two
processors and add the
flag<br>
-pc_factor_mat_solver_package
spooles this produces
a residual error<br>
of<br>
O(1e-11), all is still
well.<br>
<br>
I then switch over to
-pc_factor_mat_solver_package
superlu_dist and<br>
the<br>
residual error comes
back as 22.6637!
Something seems very
wrong.<br>
<br>
My build is perfectly
vanilla:<br>
<br>
export
PETSC_DIR=/Users/sg/petsc-3.3-p5/<br>
export
PETSC_ARCH=intel<br>
<br>
./configure
--with-cc=icc
--with-fc=ifort \<br>
<br>
-download-{spooles,parmetis,superlu_dist,prometheus,mpich,ml,hypre,metis}<br>
<br>
make
PETSC_DIR=/Users/sg/petsc-3.3-p5/
PETSC_ARCH=intel all<br>
make
PETSC_DIR=/Users/sg/petsc-3.3-p5/
PETSC_ARCH=intel test<br>
<br>
-sanjay<br>
</blockquote>
<br>
<br>
--<br>
-----------------------------------------------<br>
Sanjay Govindjee, PhD,
PE<br>
Professor of Civil
Engineering<br>
Vice Chair for Academic
Affairs<br>
<br>
779 Davis Hall<br>
Structural Engineering,
Mechanics and Materials<br>
Department of Civil
Engineering<br>
University of California<br>
Berkeley, CA 94720-1710<br>
<br>
Voice: <a
moz-do-not-send="true"
href="tel:%2B1%20510%20642%206060" value="+15106426060" target="_blank">+1
510 642 6060</a><br>
FAX: <a
moz-do-not-send="true"
href="tel:%2B1%20510%20643%205264" value="+15106435264" target="_blank">+1
510 643 5264</a><br>
<a
moz-do-not-send="true"
href="mailto:s_g@berkeley.edu" target="_blank">s_g@berkeley.edu</a><br>
<a
moz-do-not-send="true"
href="http://www.ce.berkeley.edu/%7Esanjay" target="_blank">http://www.ce.berkeley.edu/~sanjay</a><br>
-----------------------------------------------<br>
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href="http://amzn.com/0199651647" target="_blank">http://amzn.com/0199651647</a><br>
<br>
<br>
Engineering Mechanics 3
(Dynamics)<br>
<a
moz-do-not-send="true"
href="http://www.springer.com/materials/mechanics/book/978-3-642-14018-1"
target="_blank">http://www.springer.com/materials/mechanics/book/978-3-642-14018-1</a><br>
<a
moz-do-not-send="true"
href="http://amzn.com/3642140181" target="_blank">http://amzn.com/3642140181</a><br>
<br>
-----------------------------------------------<br>
</blockquote>
<br>
<br>
<br>
--<br>
What most experimenters
take for granted before
they begin their<br>
experiments is infinitely
more interesting than any
results to which<br>
their<br>
experiments lead.<br>
-- Norbert Wiener<br>
<br>
<br>
</blockquote>
<br>
--<br>
What most experimenters take
for granted before they
begin their<br>
experiments<br>
is infinitely more
interesting than any results
to which their<br>
experiments<br>
lead.<br>
-- Norbert Wiener<br>
<br>
<br>
</blockquote>
</blockquote>
--<br>
-----------------------------------------------<br>
Sanjay Govindjee, PhD, PE<br>
Professor of Civil Engineering<br>
Vice Chair for Academic Affairs<br>
<br>
779 Davis Hall<br>
Structural Engineering,
Mechanics and Materials<br>
Department of Civil Engineering<br>
University of California<br>
Berkeley, CA 94720-1710<br>
<br>
Voice: <a
moz-do-not-send="true"
href="tel:%2B1%20510%20642%206060"
value="+15106426060"
target="_blank">+1 510 642
6060</a><br>
FAX: <a
moz-do-not-send="true"
href="tel:%2B1%20510%20643%205264"
value="+15106435264"
target="_blank">+1 510 643
5264</a><br>
<a moz-do-not-send="true"
href="mailto:s_g@berkeley.edu"
target="_blank">s_g@berkeley.edu</a><br>
<a moz-do-not-send="true"
href="http://www.ce.berkeley.edu/%7Esanjay"
target="_blank">http://www.ce.berkeley.edu/~sanjay</a><br>
-----------------------------------------------<br>
<br>
New Books:<br>
<br>
Engineering Mechanics of
Deformable<br>
Solids: A Presentation with
Exercises<br>
<a moz-do-not-send="true"
href="http://www.oup.com/us/catalog/general/subject/Physics/MaterialsScience/?view=usa&ci=9780199651641"
target="_blank">http://www.oup.com/us/catalog/general/subject/Physics/MaterialsScience/?view=usa&ci=9780199651641</a><br>
<a moz-do-not-send="true"
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<a moz-do-not-send="true"
href="http://amzn.com/0199651647"
target="_blank">http://amzn.com/0199651647</a><br>
<br>
<br>
Engineering Mechanics 3
(Dynamics)<br>
<a moz-do-not-send="true"
href="http://www.springer.com/materials/mechanics/book/978-3-642-14018-1"
target="_blank">http://www.springer.com/materials/mechanics/book/978-3-642-14018-1</a><br>
<a moz-do-not-send="true"
href="http://amzn.com/3642140181"
target="_blank">http://amzn.com/3642140181</a><br>
<br>
-----------------------------------------------<br>
<br>
</blockquote>
</blockquote>
<br>
-- <br>
-----------------------------------------------<br>
Sanjay Govindjee, PhD, PE<br>
Professor of Civil Engineering<br>
Vice Chair for Academic Affairs<br>
<br>
779 Davis Hall<br>
Structural Engineering, Mechanics
and Materials<br>
Department of Civil Engineering<br>
University of California<br>
Berkeley, CA 94720-1710<br>
<br>
Voice: <a moz-do-not-send="true"
href="tel:%2B1%20510%20642%206060"
value="+15106426060"
target="_blank">+1 510 642 6060</a><br>
FAX: <a moz-do-not-send="true"
href="tel:%2B1%20510%20643%205264"
value="+15106435264"
target="_blank">+1 510 643 5264</a><br>
<a moz-do-not-send="true"
href="mailto:s_g@berkeley.edu"
target="_blank">s_g@berkeley.edu</a><br>
<a moz-do-not-send="true"
href="http://www.ce.berkeley.edu/%7Esanjay"
target="_blank">http://www.ce.berkeley.edu/~sanjay</a><br>
-----------------------------------------------<br>
<br>
New Books:<br>
<br>
Engineering Mechanics of Deformable<br>
Solids: A Presentation with
Exercises<br>
<a moz-do-not-send="true"
href="http://www.oup.com/us/catalog/general/subject/Physics/MaterialsScience/?view=usa&ci=9780199651641"
target="_blank">http://www.oup.com/us/catalog/general/subject/Physics/MaterialsScience/?view=usa&ci=9780199651641</a><br>
<a moz-do-not-send="true"
href="http://ukcatalogue.oup.com/product/9780199651641.do"
target="_blank">http://ukcatalogue.oup.com/product/9780199651641.do</a><br>
<a moz-do-not-send="true"
href="http://amzn.com/0199651647"
target="_blank">http://amzn.com/0199651647</a><br>
<br>
<br>
Engineering Mechanics 3 (Dynamics)<br>
<a moz-do-not-send="true"
href="http://www.springer.com/materials/mechanics/book/978-3-642-14018-1"
target="_blank">http://www.springer.com/materials/mechanics/book/978-3-642-14018-1</a><br>
<a moz-do-not-send="true"
href="http://amzn.com/3642140181"
target="_blank">http://amzn.com/3642140181</a><br>
<br>
-----------------------------------------------<br>
<br>
</div>
</div>
</blockquote>
</div>
<br>
<br clear="all">
<div><br>
</div>
-- <br>
What most experimenters take for granted
before they begin their experiments is
infinitely more interesting than any results
to which their experiments lead.<br>
-- Norbert Wiener </div>
</div>
</blockquote>
<br>
<pre cols="72">--
-----------------------------------------------
Sanjay Govindjee, PhD, PE
Professor of Civil Engineering
Vice Chair for Academic Affairs
779 Davis Hall
Structural Engineering, Mechanics and Materials
Department of Civil Engineering
University of California
Berkeley, CA 94720-1710
Voice: <a moz-do-not-send="true" href="tel:%2B1%20510%20642%206060" value="+15106426060" target="_blank">+1 510 642 6060</a>
FAX: <a moz-do-not-send="true" href="tel:%2B1%20510%20643%205264" value="+15106435264" target="_blank">+1 510 643 5264</a>
<a moz-do-not-send="true" href="mailto:s_g@berkeley.edu" target="_blank">s_g@berkeley.edu</a>
<a moz-do-not-send="true" href="http://www.ce.berkeley.edu/%7Esanjay" target="_blank">http://www.ce.berkeley.edu/~sanjay</a>
-----------------------------------------------
New Books:
Engineering Mechanics of Deformable
Solids: A Presentation with Exercises
<a moz-do-not-send="true" href="http://www.oup.com/us/catalog/general/subject/Physics/MaterialsScience/?view=usa&ci=9780199651641" target="_blank">http://www.oup.com/us/catalog/general/subject/Physics/MaterialsScience/?view=usa&ci=9780199651641</a>
<a moz-do-not-send="true" href="http://ukcatalogue.oup.com/product/9780199651641.do" target="_blank">http://ukcatalogue.oup.com/product/9780199651641.do</a>
<a moz-do-not-send="true" href="http://amzn.com/0199651647" target="_blank">http://amzn.com/0199651647</a>
Engineering Mechanics 3 (Dynamics)
<a moz-do-not-send="true" href="http://www.springer.com/materials/mechanics/book/978-3-642-14018-1" target="_blank">http://www.springer.com/materials/mechanics/book/978-3-642-14018-1</a>
<a moz-do-not-send="true" href="http://amzn.com/3642140181" target="_blank">http://amzn.com/3642140181</a>
-----------------------------------------------
</pre>
</blockquote>
<br>
<pre cols="72">--
-----------------------------------------------
Sanjay Govindjee, PhD, PE
Professor of Civil Engineering
Vice Chair for Academic Affairs
779 Davis Hall
Structural Engineering, Mechanics and Materials
Department of Civil Engineering
University of California
Berkeley, CA 94720-1710
Voice: <a moz-do-not-send="true" href="tel:%2B1%20510%20642%206060" value="+15106426060" target="_blank">+1 510 642 6060</a>
FAX: <a moz-do-not-send="true" href="tel:%2B1%20510%20643%205264" value="+15106435264" target="_blank">+1 510 643 5264</a>
<a moz-do-not-send="true" href="mailto:s_g@berkeley.edu" target="_blank">s_g@berkeley.edu</a>
<a moz-do-not-send="true" href="http://www.ce.berkeley.edu/%7Esanjay" target="_blank">http://www.ce.berkeley.edu/~sanjay</a>
-----------------------------------------------
New Books:
Engineering Mechanics of Deformable
Solids: A Presentation with Exercises
<a moz-do-not-send="true" href="http://www.oup.com/us/catalog/general/subject/Physics/MaterialsScience/?view=usa&ci=9780199651641" target="_blank">http://www.oup.com/us/catalog/general/subject/Physics/MaterialsScience/?view=usa&ci=9780199651641</a>
<a moz-do-not-send="true" href="http://ukcatalogue.oup.com/product/9780199651641.do" target="_blank">http://ukcatalogue.oup.com/product/9780199651641.do</a>
<a moz-do-not-send="true" href="http://amzn.com/0199651647" target="_blank">http://amzn.com/0199651647</a>
Engineering Mechanics 3 (Dynamics)
<a moz-do-not-send="true" href="http://www.springer.com/materials/mechanics/book/978-3-642-14018-1" target="_blank">http://www.springer.com/materials/mechanics/book/978-3-642-14018-1</a>
<a moz-do-not-send="true" href="http://amzn.com/3642140181" target="_blank">http://amzn.com/3642140181</a>
-----------------------------------------------
</pre>
</div>
</div>
</div>
</blockquote>
</div>
<br>
<br clear="all">
<div><br>
</div>
-- <br>
What most experimenters take for granted before they begin
their experiments is infinitely more interesting than any
results to which their experiments lead.<br>
-- Norbert Wiener
</div>
</div>
</blockquote>
<br>
<pre class="moz-signature" cols="72">--
-----------------------------------------------
Sanjay Govindjee, PhD, PE
Professor of Civil Engineering
Vice Chair for Academic Affairs
779 Davis Hall
Structural Engineering, Mechanics and Materials
Department of Civil Engineering
University of California
Berkeley, CA 94720-1710
Voice: +1 510 642 6060
FAX: +1 510 643 5264
<a class="moz-txt-link-abbreviated" href="mailto:s_g@berkeley.edu">s_g@berkeley.edu</a>
<a class="moz-txt-link-freetext" href="http://www.ce.berkeley.edu/~sanjay">http://www.ce.berkeley.edu/~sanjay</a>
-----------------------------------------------
New Books:
Engineering Mechanics of Deformable
Solids: A Presentation with Exercises
<a class="moz-txt-link-freetext" href="http://www.oup.com/us/catalog/general/subject/Physics/MaterialsScience/?view=usa&ci=9780199651641">http://www.oup.com/us/catalog/general/subject/Physics/MaterialsScience/?view=usa&ci=9780199651641</a>
<a class="moz-txt-link-freetext" href="http://ukcatalogue.oup.com/product/9780199651641.do">http://ukcatalogue.oup.com/product/9780199651641.do</a>
<a class="moz-txt-link-freetext" href="http://amzn.com/0199651647">http://amzn.com/0199651647</a>
Engineering Mechanics 3 (Dynamics)
<a class="moz-txt-link-freetext" href="http://www.springer.com/materials/mechanics/book/978-3-642-14018-1">http://www.springer.com/materials/mechanics/book/978-3-642-14018-1</a>
<a class="moz-txt-link-freetext" href="http://amzn.com/3642140181">http://amzn.com/3642140181</a>
-----------------------------------------------
</pre>
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