Dr Maciej Paszyński
Assistant Professor
Department
of Computer Science
Faculty of Electrical Engineering, Automatics,
Computer Science and Electronics
AGH University of
Science and Technology
Al.Mickiewicz 30, 30-059 Kraków, Poland
Office: C2 319
e-mail: paszynsk@agh.edu.pl
June 21-25,2010 SHORT COURSE ON HP-ADAPTIVE FINITE ELEMENT METHOD_____________ \
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List of papers_________________________________________________________________ \
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Teaching
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Information for
students (in Polish)
Current and past research projects___________________________________________________________________
Parallel
self-adaptive hp Finite Element Method (hp-FEM)
Selected publications:
-
Joint work with Leszek Demkowicz, David Pardo, Jason Kurtz
- Developemnt of par2Dhp
and par3Dhp - a 2D and 3D, parallel fully automatic hp-adaptive finite element
method codes. The parallel implementation is an extension of
the sequential codes 2Dhp90 and 3Dhp90, which generates fully automatic hp-approximations
for solutions of various boundary value problems.
-
The work
addresses parallelization of each stage of the automatic hp-adaptive
algorithm, including decomposition of the computational domain, load balancing
and data redistribution, a parallel frontal solver, and algorithms for parallel
mesh refinement and mesh reconciliation.
-
The
application was written in Fortran 90 and MPI, and the load balancing is done
through an interface with the Zoltan library.
Parallel
direct solver for self-adaptive hp-FEM
Selected publications:
-
Joint work with David Pardo,
Carlos Torres-Verdin,
Leszek
Demkowicz and Victor Calo
-
Development of a new parallel direct solver for self-adaptive hp-FEM
-
The parallel
solver works on the three-level elimination tree, distributed into
processors:
(1) the refinement tree growing from initial mesh elements,
(2) the initial mesh element tree, and
(3) the sub-domain tree resulting from the domain decomposition.
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The solver computes Schur complements at every
tree node, by performing partial forward elimination, leaving untouched
partially assembled (or unassembled) d.o.f.
The Schur complements are stored at tree nodes, and
can be re-utilized when solving subsequent hp meshes (produced by the
self-adaptive strategy), when these hp meshes contain elements
that have not been refined, as it typically occurs in real applications.
Graph
grammar model of concurrency for self-adaptive hp-FEM
Selected publications:
-
Joint work with
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Development of CP-graph grammar model of self-adaptive hp-FEM
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The adaptive
algorithms are expressed in terms of graph grammar productions, and the order
of executions of graph grammar productions is prescribed by control diagrams
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The basic
computational task within the model of concurrency is assumed as a single graph
grammar production
-
The model
allows to exploit the concurrency hidden within the self-adaptive hp-FEM,
by analyzing logical independence of particular productions
Simulations
of different physical phenomena
Acoustics
of the human head
Selected publications:
-
Joint work with Leszek Demkowicz, Jason Kurtz and Jessica Zhang
-
The cochlea is
a fluid-filled cavity in the temporal bone of the skull, lined with tiny hairs
that convert mechanical vibrations to electrical signals in the auditory nerve
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Under normal
circumstances, acoustic waves travel into the ear canal and are transmitted
from the ear drum to the oval window of the cochlea by a linkage of three small
bones in the middle ear
-
Underwater or in
noisy environments, acoustic waves are also converted to elastic waves in the
tissue and skull that reach the cochlea
-
The goal of
this project is to simulate both of these hearing mechanisms and determine the
relative potential for damage to the cochlea
Oil-industry
applications
Selected publications:
-
Joint work with David Pardo,
Carlos Torres-Verdin
and Leszek
Demkowicz
-
Simulations of three dimensional borehole resistivity
measurements
-
Propagation of electromagnetic waves in the ground, generated by several
electrodes in the borehole environment
-
The goal of
this project is to help oil companies locate gas / oil formations in the ground
Phase
transition simulations
Selected publications:
-
Joint work with Maciej Pietrzyk, Paweł Matuszyk,
Jerzy Gawąd and Łukasz Madej
-
Simulation of austenite-ferrite phase transformation with moving
boundary interface, as well as the phase transition for solidification of Fe-C
alloy with the Cellular Automata (CA) method interfaced with the
self-adaptive hp-FEM for the non-stationary heat and mass
transport problems
Nanolithography
multiscale simulations
Selected publications:
-
Joint work with Leszek Demkowicz, Grant C. Willson and Albert Romkes
-
Molecular statics model for the prediction of
the material response of polymerized networks in cured etch-barrier that are
formed during the Step-and-Flash Imprint Lithography (SFIL) process.
Fluid flow
simulations
Selected publications:
-
Joint work with
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Simulation of the blood flow in arteries by means of the Fluid Particle
Model
-
The Stokes flow problem solved by self-adaptive hp-FEM
