Hoppe, R. H. W.; Petrova, S. I. Multi-scale method for the crack problem in microstructural materials. (English) Zbl 1283.65092 Comput. Methods Appl. Math. 10, No. 1, 69-86 (2010). MSC: 65M60 74B05 74Q05 74Q15 74R10 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{S. I. Petrova}, Comput. Methods Appl. Math. 10, No. 1, 69--86 (2010; Zbl 1283.65092) Full Text: DOI Link
Petrova, Svetozara I. Applications of one-shot methods in PDEs constrained shape optimization. (English) Zbl 1181.65095 Math. Comput. Simul. 80, No. 3, 581-597 (2009). MSC: 65K10 49Q10 49M37 74A60 74Q05 90C51 PDFBibTeX XMLCite \textit{S. I. Petrova}, Math. Comput. Simul. 80, No. 3, 581--597 (2009; Zbl 1181.65095) Full Text: DOI
Hoppe, Ronald H. W.; Petrova, Svetozara I. Adaptive refinement techniques in homogenization design method. (English) Zbl 1403.74075 Glowinski, Roland (ed.) et al., Free and moving boundaries. Analysis, simulation and control. Selected papers of the IFIP 7.2 conference on free and moving boundary analysis, simulation and control, Houston, TX, USA, December 2004. Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-58488-606-8/pbk; 978-1-138-44264-1/hbk; 978-1-4200-1115-9/ebook). Lecture Notes in Pure and Applied Mathematics 252, 349-362 (2007). MSC: 74Q05 35B27 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{S. I. Petrova}, Lect. Notes Pure Appl. Math. 252, 349--362 (2007; Zbl 1403.74075) Full Text: Link
Bordas, Stéphane; Hoppe, Ronald H. W.; Petrova, Svetozara I. Mechanical failure in microstructural heterogeneous materials. (English) Zbl 1137.74418 Boyanov, Todor (ed.) et al., Numerical methods and applications. 6th international conference, NMA 2006, Borovets, Bulgaria, August 20–24, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-70940-4/pbk). Lecture Notes in Computer Science 4310, 533-541 (2007). MSC: 74R10 74A60 74M25 74S05 74L15 74Q05 PDFBibTeX XMLCite \textit{S. Bordas} et al., Lect. Notes Comput. Sci. 4310, 533--541 (2007; Zbl 1137.74418) Full Text: DOI Link
Hoppe, Ronald H. W.; Petrova, Svetozara I. Elasto-plasticity model in structural optimization of composite materials with periodic microstructures. (English) Zbl 1110.74044 Math. Comput. Simul. 74, No. 6, 468-480 (2007). MSC: 74P10 74C15 74Q05 74E30 74S05 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{S. I. Petrova}, Math. Comput. Simul. 74, No. 6, 468--480 (2007; Zbl 1110.74044) Full Text: DOI
Hoppe, Ronald H. W.; Petrova, Svetozara I. Shape optimization of biomorphic ceramics with microstructures by homogenization modeling. (English) Zbl 1366.74058 Mielke, Alexander (ed.), Analysis, modeling and simulation of multiscale problems. Berlin: Springer (ISBN 3-540-35656-8/hbk). 395-424 (2006). MSC: 74P10 49Q15 74A60 74Q05 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{S. I. Petrova}, in: Analysis, modeling and simulation of multiscale problems. Berlin: Springer. 395--424 (2006; Zbl 1366.74058) Full Text: DOI
Hoppe, Ronald H. W.; Linsenmann, Christopher; Petrova, Svetozara I. Primal-dual Newton methods in structural optimization. (English) Zbl 1511.90421 Comput. Vis. Sci. 9, No. 2, 71-87 (2006). MSC: 90C55 90C51 90C90 74P05 74S99 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} et al., Comput. Vis. Sci. 9, No. 2, 71--87 (2006; Zbl 1511.90421) Full Text: DOI
Hoppe, Ronald H. W.; Petrova, Svetozara I.; Vassilevski, Yuri V. Adaptive grid refinement for computation of the homogenized elasticity tensor. (English) Zbl 1151.65326 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 4th international conference, LSSC 2003, Sozopol, Bulgaria, June 4–8, 2003. Revised papers. Berlin: Springer (ISBN 3-540-21090-3/pbk). Lecture Notes in Computer Science 2907, 371-378 (2004). MSC: 65K10 74B05 74Q05 90C30 65N50 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} et al., Lect. Notes Comput. Sci. 2907, 371--378 (2004; Zbl 1151.65326) Full Text: DOI
Hoppe, Ronald H. W.; Petrova, Svetozara I. Homogenization design method for biomorphic composite materials. (English) Zbl 1309.74062 J. Comput. Methods Sci. Eng. 4, No. 1-2, 87-96 (2004). MSC: 74Q05 90C30 65K10 74B05 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{S. I. Petrova}, J. Comput. Methods Sci. Eng. 4, No. 1--2, 87--96 (2004; Zbl 1309.74062)
Hoppe, Ronald H. W.; Petrova, Svetozara I. A posteriori adaptive meshes for shape optimization of TiC-ceramics. (English) Zbl 1061.65053 Lipitakis, Elias A. (ed.), HERCMA 2003. Proceedings of the 6th Hellenic-European conference on computer mathematics and its applications, Athens, Greece, September 25–27, 2003. 2 volumes. Athens: LEA (ISBN 960-87275-1-0/set; 960-87275-2-9/v.1; 960-87275-3-7/v.2). 501-508 (2004). MSC: 65K10 49Q10 74A60 74Q05 82D20 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{S. I. Petrova}, in: HERCMA 2003. Proceedings of the 6th Hellenic-European conference on computer mathematics and its applications, Athens, Greece, September 25--27, 2003. 2 volumes. Athens: LEA. 501--508 (2004; Zbl 1061.65053)
Hoppe, Ronald H. W.; Petrova, Svetozara I. Optimal shape design in biomimetics based on homogenization and adaptivity. (English) Zbl 1106.74390 Math. Comput. Simul. 65, No. 3, 257-272 (2004). MSC: 74Q05 90C30 65K10 49Q10 74B05 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{S. I. Petrova}, Math. Comput. Simul. 65, No. 3, 257--272 (2004; Zbl 1106.74390) Full Text: DOI
Hoppe, R. H. W.; Petrova, S. I. Homogenized elasticity solvers for biomorphic microcellular ceramics. (English) Zbl 1254.74094 Brezzi, Franco (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer (ISBN 88-470-0180-3/hbk). 371-380 (2003). MSC: 74Q05 74E30 74S05 74M25 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{S. I. Petrova}, in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer. 371--380 (2003; Zbl 1254.74094) Full Text: DOI
Hoppe, Ronald H. W.; Petrova, Svetozara I. Applications of primal-dual interior methods in structural optimization. (English) Zbl 1098.90070 Comput. Methods Appl. Math. 3, No. 1, 159-176 (2003). MSC: 90C30 65K10 74P99 74Q05 78M50 90C51 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{S. I. Petrova}, Comput. Methods Appl. Math. 3, No. 1, 159--176 (2003; Zbl 1098.90070) Full Text: DOI
Hoppe, Ronald H. W.; Petrova, Svetozara I. Optimal structural design of biomorphic composite materials. (English) Zbl 1119.74517 Dimov, Ivan (ed.) et al., Numerical methods and applications. 5th international conference, NMA 2002, Borovets, Bulgaria, August 20–24, 2002. Revised papers. Berlin: Springer (ISBN 3-540-00608-7/pbk). Lect. Notes Comput. Sci. 2542, 479-487 (2003). MSC: 74P05 49M15 74L15 90C51 90C90 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{S. I. Petrova}, Lect. Notes Comput. Sci. 2542, 479--487 (2003; Zbl 1119.74517) Full Text: Link
Hoppe, Ronald H. W.; Petrova, Svetozara I. Structural optimization of biomorphic microcellular ceramics by homogenization approach. (English) Zbl 1136.65325 Margenov, Svetozar (ed.) et al., Large-scale scientific computing. 3rd international conference, LSSC 2001, Sozopol, Bulgaria, June 6–10, 2001. Revised papers. Berlin: Springer (ISBN 3-540-43043-1). Lect. Notes Comput. Sci. 2179, 353-360 (2001). MSC: 65K10 74E05 74E30 90C30 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{S. I. Petrova}, Lect. Notes Comput. Sci. 2179, 353--360 (2001; Zbl 1136.65325) Full Text: Link