Método de optimización topológica de estructuras continuas basado en quimiotaxis de bacterias
ilustraciones, fotografías
- Autores:
-
León Medina, Jersson Xavier
- Tipo de recurso:
- Fecha de publicación:
- 2015
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/79743
- Palabra clave:
- 620 - Ingeniería y operaciones afines::629 - Otras ramas de la ingeniería
Ingeniería de estructuras
Optimización estructural evolutiva
Optimización topológica
Quimiotaxis de bacterias
Evolutionary structural optimization
Topology optimization
Bacterial chemotaxis
Topología
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 4.0 Internacional
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| dc.title.spa.fl_str_mv |
Método de optimización topológica de estructuras continuas basado en quimiotaxis de bacterias |
| dc.title.translated.eng.fl_str_mv |
Topology optimization method of continuous structures based on bacterial chemotaxis |
| title |
Método de optimización topológica de estructuras continuas basado en quimiotaxis de bacterias |
| spellingShingle |
Método de optimización topológica de estructuras continuas basado en quimiotaxis de bacterias 620 - Ingeniería y operaciones afines::629 - Otras ramas de la ingeniería Ingeniería de estructuras Optimización estructural evolutiva Optimización topológica Quimiotaxis de bacterias Evolutionary structural optimization Topology optimization Bacterial chemotaxis Topología |
| title_short |
Método de optimización topológica de estructuras continuas basado en quimiotaxis de bacterias |
| title_full |
Método de optimización topológica de estructuras continuas basado en quimiotaxis de bacterias |
| title_fullStr |
Método de optimización topológica de estructuras continuas basado en quimiotaxis de bacterias |
| title_full_unstemmed |
Método de optimización topológica de estructuras continuas basado en quimiotaxis de bacterias |
| title_sort |
Método de optimización topológica de estructuras continuas basado en quimiotaxis de bacterias |
| dc.creator.fl_str_mv |
León Medina, Jersson Xavier |
| dc.contributor.advisor.none.fl_str_mv |
Guzmán Pardo, María Alejandra |
| dc.contributor.author.none.fl_str_mv |
León Medina, Jersson Xavier |
| dc.subject.ddc.spa.fl_str_mv |
620 - Ingeniería y operaciones afines::629 - Otras ramas de la ingeniería |
| topic |
620 - Ingeniería y operaciones afines::629 - Otras ramas de la ingeniería Ingeniería de estructuras Optimización estructural evolutiva Optimización topológica Quimiotaxis de bacterias Evolutionary structural optimization Topology optimization Bacterial chemotaxis Topología |
| dc.subject.lemb.none.fl_str_mv |
Ingeniería de estructuras |
| dc.subject.proposal.spa.fl_str_mv |
Optimización estructural evolutiva Optimización topológica Quimiotaxis de bacterias |
| dc.subject.proposal.eng.fl_str_mv |
Evolutionary structural optimization Topology optimization Bacterial chemotaxis |
| dc.subject.unesco.none.fl_str_mv |
Topología |
| description |
ilustraciones, fotografías |
| publishDate |
2015 |
| dc.date.issued.none.fl_str_mv |
2015 |
| dc.date.accessioned.none.fl_str_mv |
2021-06-30T14:00:03Z |
| dc.date.available.none.fl_str_mv |
2021-06-30T14:00:03Z |
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Trabajo de grado - Maestría |
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info:eu-repo/semantics/masterThesis |
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info:eu-repo/semantics/acceptedVersion |
| dc.type.content.spa.fl_str_mv |
Text |
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http://purl.org/redcol/resource_type/TM |
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acceptedVersion |
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https://repositorio.unal.edu.co/handle/unal/79743 |
| dc.identifier.instname.spa.fl_str_mv |
Universidad Nacional de Colombia |
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Repositorio Institucional Universidad Nacional de Colombia |
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https://repositorio.unal.edu.co/ |
| url |
https://repositorio.unal.edu.co/handle/unal/79743 https://repositorio.unal.edu.co/ |
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Universidad Nacional de Colombia Repositorio Institucional Universidad Nacional de Colombia |
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spa |
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spa |
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Aage, Niels ; Amir, Oded ; Clausen, Anders ; Hadar, Lior ; Maier, Dana ; Søndergaard, Asbjørn: Advanced Topology Optimization Methods for Conceptual Architectural Design. En: Advances in Architectural Geometry 2014. Springer, 2015, p. 159-179 Aage, Niels ; Andreassen, Erik ; Lazarov, Boyan S.: Topology optimization using PETSc: An easy-to-use, fully parallel, open source topology optimization framework. En: Structural and Multidisciplinary Optimization (2014), p. 1-8 Aage, Niels ; Lazarov, Boyan S.: Parallel framework for topology optimization using the method of moving asymptotes. En: Structural and Multidisciplinary Optimization 47 (2013), Nr. 4, p. 493-505 Amir, Oded ; Aage, Niels ; Lazarov, Boyan S.: On multigrid-CG for efficient topology optimization. En: Structural and Multidisciplinary Optimization 49 (2014), Nr. 5, p. 815-829 Andreassen, Erik ; Clausen, Anders ; Schevenels, Mattias ; Lazarov, Boyan S. ; Sigmund, Ole: Efficient topology optimization in MATLAB using 88 lines of code. En: Structural and Multidisciplinary Optimization 43 (2011), Nr. 1, p. 1-16 Balamurugan, R ; Ramakrishnan, CV ; Singh, Nidur: Performance evaluation of a two stage adaptive genetic algorithm (TSAGA) in structural topology optimization. En: Applied Soft Computing 8 (2008), Nr. 4, p. 1607-1624 Barahona, Edgar Absalón T. ; Medina, Jersson Xavier L. ; Diaz, Edwin T.: Sistema de posicionamiento aplicado a la técnica de impresión 3d modelado por deposición fundida. En: Revista de investigación, desarrollo e innovación 3 (2013), Nr. 1 Barrio, RA ; Varea, C ; Aragón, JL ; Maini, PK: A two-dimensional numerical study of spatial pattern formation in interacting Turing systems. En: Bulletin of mathematical biology 61 (1999), Nr. 3, p. 483-505 Bendsøe, Martin P.: Optimal shape design as a material distribution problem. En: Structural optimization 1 (1989), Nr. 4, p. 193-202 Bendsøe, Martin P. ; Sigmund, Ole: Material interpolation schemes in topology optimization. En: Archive of applied mechanics 69 (1999), Nr. 9-10, p. 635-654 Bendsøe, Martin P. ; Kikuchi, Noboru: Generating optimal topologies in structural design using a homogenization method. En: Computer methods in applied mechanics and engineering 71 (1988), Nr. 2, p. 197-224 Bendsoe, Martin P. ; Sigmund, Ole: Topology optimization: theory, methods and applications. Springer-Verlag, 2003 Brackett, D ; Ashcroft, I ; Hague, R: Topology optimization for additive manufacturing. En: 22nd Annual international solid freeform fabrication symposium, 2011, p. 348-362 Burczyński, T ; Szczepanik, M: Intelligent optimal design of spatial structures. En: Computers & Structures (2013) Challis, Vivien J.: A discrete level-set topology optimization code written in Matlab. En: Structural and multidisciplinary optimization 41 (2010), Nr. 3, p. 453-464 Chu, D N. ; Xie, YM ; Hira, A ; Steven, GP: Evolutionary structural optimization for problems with stiffness constraints. En: Finite Elements in Analysis and Design 21 (1996), Nr. 4, p. 239-251 Coello, Carlos C. ; Dhaenens, Clarisse ; Jourdan, Laetitia: Advances in multi- objective nature inspired computing. Vol. 272. Springer, 2009 Deaton, Joshua D. ; Grandhi, Ramana V.: A survey of structural and multidisciplinary continuum topology optimization: post 2000. En: Structural and Multidisciplinary Optimization 49 (2014), Nr. 1, p. 1-38 Dhariwal, Amit ; Sukhatme, Gaurav ; Requicha, Aristides A.: Bacterium-inspired robots for environmental monitoring. En: Robotics and Automation, 2004. Proceedings. ICRA'04. 2004 IEEE International Conference on Vol. 2 IEEE, 2004, p. 1436-1443 Eschenauer, Hans A. ; Olhoff, Niels: Topology optimization of continuum structures: a review. En: Applied Mechanics Reviews 54 (2001), Nr. 4, p. 331-389 Fey, Nicholas P. ; South, Brian J. ; Seepersad, Carolyn C. ; Neptune, Richard R.: Topology Optimization and Freeform Fabrication Framework for Developing Prosthetic Feet. En: Solid Freeform Fabrication Symposium Austin, TX, 2009 Fleury, Claude: CONLIN: an efficient dual optimizer based on convex approximation concepts. En: Structural Optimization 1 (1989), Nr. 2, p. 81-89 Garcia-Lopez, NP ; Sanchez-Silva, M ; Medaglia, AL ; Chateauneuf, A: A hybrid topology optimization methodology combining simulated annealing and SIMP. En: Computers & Structures 89 (2011), Nr. 15, p. 1512-1522 Groenwold, Albert A. ; Etman, LFP: A simple heuristic for gray-scale suppression in optimality criterion-based topology optimization. En: Structural and Multidisciplinary Optimization 39 (2009), Nr. 2, p. 217-225 Groenwold, Albert A. ; Etman, LFP: A quadratic approximation for structural topology optimization. En: International Journal for Numerical Methods in Engineering 82 (2010), Nr. 4, p. 505-524 Guest, James K.: Topology optimization with multiple phase projection. En: Computer Methods in Applied Mechanics and Engineering 199 (2009), Nr. 1, p. 123-135 Guest, James K. ; Prévost, JH ; Belytschko, T: Achieving minimum length scale in topology optimization using nodal design variables and projection functions. En: International Journal for Numerical Methods in Engineering 61 (2004), Nr. 2, p. 238- 254 Guzman, M.A.: Técnicas de optimizacao baseadas em quimiotaxia de bactérias, Universidad de Sao Paulo, Tesis de Grado, 2009 Guzmán, MA ; Delgado, A ; De Carvalho, J: Optimización multiobjetivo de un eje con algoritmo basado en quimiotaxis de bacterias. En: Memorias del 8o Congreso Iberoamericano de Ingeniería Mecánica .(Cusco, Peru), 2007 Guzmán María, Alejandra ; Delgado, Alberto ; De Carvalho, Jonas: A novel multiobjective optimization algorithm based on bacterial chemotaxis. En: Engineering Applications of Artificial Intelligence 23 (2010), Nr. 3, p. 292-301 Guzmán, M.A. ; Delgado, A. ; De Carvalho, J.: Topology optimization with algorithm based on bacterial chemotaxis. En: 8th. World Congress on Computational Mechanics, (WCCM 8), Venice, Italy, 2008 Huang, X ; Xie, YM: Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method. En: Finite Elements in Analysis and Design 43 (2007), Nr. 14, p. 1039-1049 Huang, X ; Xie, YM: Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials. En: Computational Mechanics 43 (2009), Nr. 3, p. 393-401 Huang, Xiaodong ; Xie, Mike: Evolutionary topology optimization of continuum structures: methods and applications. John Wiley & Sons, 2010 Huang, Xiaodong ; Xie, Yi-Min: A further review of ESO type methods for topology optimization. En: Structural and Multidisciplinary Optimization 41 (2010), Nr. 5, p. 671-683 Hunt, LB: The long history of lost wax casting. En: Gold bulletin 13 (1980), Nr. 2, p. 63-79 Hunter, William: Predominantly solid-void three-dimensional topology optimization using open source software, Stellenbosch: University of Stellenbosch, Tesis de Grado, 2009 Jia, Haipeng ; Beom, HG ; Wang, Yuxin ; Lin, Song ; Liu, Bo: Evolutionary level set method for structural topology optimization. En: Computers & Structures 89 (2011), Nr. 5, p. 445-454 Juan, Zheng ; Shuyao, Long ; Guangyao, Li: The topology optimization design for continuum structures based on the element free Galerkin method. En: Engineering Analysis with Boundary Elements 34 (2010), Nr. 7, p. 666 - 672 Karaboga, Dervis: An idea based on honey bee swarm for numerical optimization / Technical report-tr06, Erciyes university, engineering faculty, computer engineering department. 2005. - Informe de Investigación Kaveh, A ; Hassani, B ; Shojaee, S ; Tavakkoli, SM: Structural topology optimization using ant colony methodology. En: Engineering Structures 30 (2008), Nr. 9, p. 2559-2565 Lazarov, Boyan S.: Topology optimization using multiscale finite element method for high-contrast media. En: Large-Scale Scientific Computing. Springer, 2014, p. 339-346 Lazarov, Boyan S. ; Sigmund, Ole: Filters in topology optimization based on Helmholtz-type differential equations. En: International Journal for Numerical Methods in Engineering 86 (2011), Nr. 6, p. 765-781 Leon, J. X. ; Guzman, M.A.: Tuning parameters using bio-inspired multiobjective optimization algorithm for topology optimization based on bacterial chemotaxis. En: Proceedings of the 4th International Conference on Engineering Optimization (En- gOpt2014), Lisbon, Portugal. Edited by Aurelio Araujo : CRC Press, 2014, p. 427-431 Liu, Kai ; Tovar, Andrés: An efficient 3D topology optimization code written in Matlab. En: Structural and Multidisciplinary Optimization (2014), p. 1-22 Luh, Guan-Chun ; Lin, Chun-Yi ; Lin, Yu-Shu: A binary particle swarm optimization for continuum structural topology optimization. En: Applied Soft Computing 11 (2011),Nr. 2, p. 2833-2844 Lunt, James: Large-scale production, properties and commercial applications of polylactic acid polymers. En: Polymer degradation and stability 59 (1998), Nr. 1, p. 145-152 Maini, Philip K.: Using mathematical models to help understand biological pattern formation. En: Comptes rendus biologies 327 (2004), Nr. 3, p. 225-234 Makerbot. Makerbot Desktop 3.6. http://www.makerbot.com/makerware-for-digitizer. Februar 2015 Makerbot. Replicator 2 - Desktop 3D printing. https://store.makerbot.com/replicator2.html. Februar 2015 Michell, A.: The limits of economy of materials in frame-structures. En: Philos. Mag.8 (1904), p. 587-597 Nobel-Jørgensen, Morten ; Aage, Niels ; Christiansen, Asger N. ; Igarashi, Takeo ; Baerentzen, J A. ; Sigmund, Ole: 3D interactive topology optimization on hand-held devices. En: Structural and Multidisciplinary Optimization (2014), p. 1-7 Park, Ji-Yong ; Han, Seog-Young: Swarm intelligence topology optimization based on artificial bee colony algorithm. En: International Journal of Precision Engineering and Manufacturing 14 (2013), Nr. 1, p. 115-121 Pedersen, Claus B. ; Allinger, Peter: Industrial implementation and applications of topology optimization and future needs. En: IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials Springer, 2006, p. 229-238 Querin, OM ; Steven, GP ; Xie, YM: Evolutionary structural optimisation (ESO) using a bidirectional algorithm. En: Engineering Computations 15 (1998), Nr. 8, p. 1031-1048 Rouhi, Mohammad ; Rais-Rohani, Masoud ; Williams, Thomas: Element Exchange Method for Topology Optimization. En: Structural and Multidisciplinary Optimization 42 (2010), Nr. 2, p. 215-231 Rozvany, George I.: A critical review of established methods of structural topology optimization. En: Structural and Multidisciplinary Optimization 37 (2009), Nr. 3, p. 217-237 Rozvany, George I. ; Querin, Osvaldo M.: Combining ESO with rigorous optimality criteria. En: International journal of vehicle design 28 (2002), Nr. 4, p. 294-299 Rozvany, George I. ; Querin, Osvaldo M.: Theoretical foundations of Sequential Element Rejections and Admissions (SERA) methods and their computational implementations in topology optimisation. En: Proceedings of the 9th AIAA/ISSMO Symposium on Multidisc. Anal and Optim.(held in Atlanta, Georgia), AIAA, Reston, VA, 2002 Rozvany, GIN ; Zhou, M: Applications of the COC algorithm in layout optimization. En: Engineering optimization in design processes. Springer, 1991, p. 59-70 Rozvany, GIN ; Zhou, M ; Birker, T: Generalized shape optimization without homogenization. En: Structural optimization 4 (1992), Nr. 3-4, p. 250-252 Sigmund, Ole: On the design of compliant mechanisms using topology optimization*. En: Journal of Structural Mechanics 25 (1997), Nr. 4, p. 493-524 Sigmund, Ole: A 99 line topology optimization code written in Matlab. En: Structural and Multidisciplinary Optimization 21 (2001), Nr. 2, p. 120-127 Sigmund, Ole: Morphology-based black and white filters for topology optimization. En: Structural and Multidisciplinary Optimization 33 (2007), Nr. 4-5, p. 401-424 Sigmund, Ole ; Maute, Kurt: Sensitivity filtering from a continuum mechanics perspective. En: Structural and Multidisciplinary Optimization 46 (2012), Nr. 4, p. 471-475 Sigmund, Ole ; Maute, Kurt: Topology optimization approaches. En: Structural and Multidisciplinary Optimization 48 (2013), Nr. 6, p. 1031-1055 Sigmund, Ole ; Petersson, Joakim: Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima. En: Structural optimization 16 (1998), Nr. 1, p. 68-75 Suresh, Krishnan: A 199-line Matlab code for Pareto-optimal tracing in topology optimization. En: Structural and Multidisciplinary Optimization 42 (2010), Nr. 5, p. 665-679 Svanberg, Krister: The method of moving asymptotes - a new method for structural optimization. En: International journal for numerical methods in engineering 24 (1987), Nr. 2, p. 359-373 Talischi, Cameron ; Paulino, Glaucio H. ; Pereira, Anderson ; Menezes, Ivan F.: PolyTop: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes. En: Structural and Multidisciplinary Optimization 45 (2012), Nr. 3, p. 329-357 Thar, Roland ; Kühl, Michael: Complex pattern formation of marine gradient bacteria explained by a simple computer model. En: FEMS microbiology letters 246 (2005), Nr. 1, p. 75-79 Tovar, Andrés: Optimización topológica con la técnica de los autómatas celulares híbridos. En: Revista internacional de métodos numéricos (2005) Tovar, Andrés ; Khandelwal, Kapil: Topology optimization for minimum compliance using a control strategy. En: Engineering Structures 48 (2013), p. 674-682 Tovar, Andrés ; Patel, Neal M. ; Niebur, Glen L. ; Sen, Mihir ; Renaud, John E.: Topology optimization using a hybrid cellular automaton method with local control rules. En: Journal of Mechanical Design 128 (2006), Nr. 6, p. 1205-1216 Vanegas, Juan C. ; Landinez, Nancy S. ; Garzón, Diego A.: Solución computacional de modelos biológicos de formación de patrones espacio-temporales. En: Ingeniare. Revista chilena de ingeniería 17 (2009), Nr. 2, p. 182-194 Venkayya, VB: Optimality criteria: a basis for multidisciplinary design optimization. En: Computational Mechanics 5 (1989), Nr. 1, p. 1-21 Victoria Nicolás, Mariano: Optimización de forma y topología con malla fija y algoritmos genéticos, Universidad Politécnica De Cartagena", Tesis de Grado, 2006 Wang, Fengwen ; Lazarov, Boyan S. ; Sigmund, Ole: On projection methods, convergence and robust formulations in topology optimization. En: Structural and Multi-disciplinary Optimization 43 (2011), Nr. 6, p. 767-784 Wu, Chun-Yin ; Tseng, Ko-Ying: Topology optimization of structures using modified binary differential evolution. En: Structural and Multidisciplinary Optimization 42 (2010), Nr. 6, p. 939-953 |
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Derechos Reservados al Autor, 2015 |
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Atribución-NoComercial-SinDerivadas 4.0 Internacional |
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Atribución-NoComercial-SinDerivadas 4.0 Internacional Derechos Reservados al Autor, 2015 http://creativecommons.org/licenses/by-nc-nd/4.0/ http://purl.org/coar/access_right/c_abf2 |
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131 páginas |
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Universidad Nacional de Colombia |
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Bogotá - Ingeniería - Maestría en Ingeniería - Ingeniería Mecánica |
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Departamento de Ingeniería Mecánica y Mecatrónica |
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Facultad de Ingeniería |
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Bogotá, Colombia |
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Universidad Nacional de Colombia - Sede Bogotá |
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Atribución-NoComercial-SinDerivadas 4.0 InternacionalDerechos Reservados al Autor, 2015http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Guzmán Pardo, María Alejandra9db451aa69871fe79aaa74e167be521eLeón Medina, Jersson Xavier7aa91d9b7b85f5396198d0c2365e60ef2021-06-30T14:00:03Z2021-06-30T14:00:03Z2015https://repositorio.unal.edu.co/handle/unal/79743Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/ilustraciones, fotografíasEn este proyecto, la quimiotaxis de bacterias es utilizada para resolver problemas de optimización topológica estructural particularmente en estructuras continuas bidimensionales sometidas a cargas puntuales. Se desarrolló un algoritmo de optimización topológica denominado “Algoritmo de Optimización Topológica Basado en Quimiotaxis de Bacterias BCBTOA-2" que describe la estrategia quimiotáxica como mecanismo simulado para retirar material en una estructura con el ánimo de minimizar energía de deformación y maximizar rigidez. Se solucionaron algunos problemas evidenciados en optimización topológica como los llamados tableros de ajedrez y la dependencia de malla a través de un esquema de regularización basado en quimiotaxis de bacterias. A continuación, el algoritmo es aplicado a distintas configuraciones de vigas bidimensionales para mostrar su rendimiento y versatilidad; se aplicaron métricas de desempeño relacionadas con el valor de la energía de deformación total de una estructura y el número de iteraciones necesarias para que el algoritmo converja, esto con el _n de comparar el método propuesto frente a otros métodos de optimización topológica como son el método OC-SIMP y el método Soft BESO. (Texto tomado de la fuente)In this project, bacterial chemotaxis is used to solve structural topology optimization problems, especially in two-dimensional continuous structures subjected to point loads. A topology optimization algorithm called Bacterial-Chemotaxis-Based Topology Optimization Algorithm 2 BCBTOA-2”was developed to describes the chemotactic strategy as a simulation of material removal in a structure. The algorithm minimizes compliance and maximizes stiffness, so, the algorithm is applied to various two-dimensional configurations of beams to show its efficiency, performance and versatility. Common problems in topology optimization such as checkerboards and mesh dependence were solved through a regularization scheme based on bacterial chemotaxis. Then, the BCBTOA-2 algorithm is evaluated determining its effectiveness and computational performance. We apply performance metrics related to the value of the total compliance of a structure and the number of iterations required for the algorithm to converge, this in order to compare the proposed method, which is competitive with other methods of topology optimization as the OC-SIMP method and the Soft BESO method. (Text taken from source)MaestríaMagíster en ingeniería - ingeniería Mecánica131 páginasapplication/pdfspaUniversidad Nacional de ColombiaBogotá - Ingeniería - Maestría en Ingeniería - Ingeniería MecánicaDepartamento de Ingeniería Mecánica y MecatrónicaFacultad de IngenieríaBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá620 - Ingeniería y operaciones afines::629 - Otras ramas de la ingenieríaIngeniería de estructurasOptimización estructural evolutivaOptimización topológicaQuimiotaxis de bacteriasEvolutionary structural optimizationTopology optimizationBacterial chemotaxisTopologíaMétodo de optimización topológica de estructuras continuas basado en quimiotaxis de bacteriasTopology optimization method of continuous structures based on bacterial chemotaxisTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMAage, Niels ; Amir, Oded ; Clausen, Anders ; Hadar, Lior ; Maier, Dana ; Søndergaard, Asbjørn: Advanced Topology Optimization Methods for Conceptual Architectural Design. En: Advances in Architectural Geometry 2014. Springer, 2015, p. 159-179Aage, Niels ; Andreassen, Erik ; Lazarov, Boyan S.: Topology optimization using PETSc: An easy-to-use, fully parallel, open source topology optimization framework. En: Structural and Multidisciplinary Optimization (2014), p. 1-8Aage, Niels ; Lazarov, Boyan S.: Parallel framework for topology optimization using the method of moving asymptotes. En: Structural and Multidisciplinary Optimization 47 (2013), Nr. 4, p. 493-505Amir, Oded ; Aage, Niels ; Lazarov, Boyan S.: On multigrid-CG for efficient topology optimization. En: Structural and Multidisciplinary Optimization 49 (2014), Nr. 5, p. 815-829Andreassen, Erik ; Clausen, Anders ; Schevenels, Mattias ; Lazarov, Boyan S. ; Sigmund, Ole: Efficient topology optimization in MATLAB using 88 lines of code. 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