Liu, Shihao; Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping; Zhang, Shuhai A high order moving boundary treatment for convection-diffusion equations. (English) Zbl 07625421 J. Comput. Phys. 473, Article ID 111752, 28 p. (2023). MSC: 65Mxx 35Lxx 76Mxx PDF BibTeX XML Cite \textit{S. Liu} et al., J. Comput. Phys. 473, Article ID 111752, 28 p. (2023; Zbl 07625421) Full Text: DOI OpenURL
Habibiova, Arasta Sh. On the existence of a solution to the inverse problem of finding the right side of parabolic equation in a domain with a moving. (English) Zbl 07610227 J. Contemp. Appl. Math. 12, No. 2, 14-21 (2022). MSC: 35K40 35K57 PDF BibTeX XML Cite \textit{A. Sh. Habibiova}, J. Contemp. Appl. Math. 12, No. 2, 14--21 (2022; Zbl 07610227) Full Text: Link OpenURL
Pistiner, Arieh A self-similar solution for transient Darcy-Forchheimer flow in an aquifer. (English) Zbl 07605011 GEM. Int. J. Geomath. 13, Paper No. 15, 26 p. (2022). MSC: 76S05 34B40 60G18 76M55 PDF BibTeX XML Cite \textit{A. Pistiner}, GEM. Int. J. Geomath. 13, Paper No. 15, 26 p. (2022; Zbl 07605011) Full Text: DOI OpenURL
Mu, Kailong; Mao, Jia; Zhao, Lanhao; Zhu, Hanyue A simple Chimera grid method with an implicit Dirichlet/Neumann coupling scheme for flows with moving boundaries. (English) Zbl 07578918 J. Comput. Phys. 468, Article ID 111512, 20 p. (2022). MSC: 76Mxx 76Dxx 65Nxx PDF BibTeX XML Cite \textit{K. Mu} et al., J. Comput. Phys. 468, Article ID 111512, 20 p. (2022; Zbl 07578918) Full Text: DOI OpenURL
Majumder, Sambit; Ghosh, Arnab; Basu, Dipankar Narayan; Natarajan, Ganesh Re-examining the partially saturated-cells method for incompressible flows with stationary and moving bodies. (English) Zbl 07483140 Comput. Math. Appl. 110, 19-39 (2022). MSC: 76M28 76M25 76D05 76P05 76T20 PDF BibTeX XML Cite \textit{S. Majumder} et al., Comput. Math. Appl. 110, 19--39 (2022; Zbl 07483140) Full Text: DOI OpenURL
Shelepova, Anastasiya D.; Sakhanenko, Alexander I. On the asymptotics of the probability to stay above a non-increasing boundary for a non-homogeneous compound renewal process. (Russian. English summary) Zbl 1491.60050 Sib. Èlektron. Mat. Izv. 18, No. 2, 1667-1688 (2021). MSC: 60F17 60G50 PDF BibTeX XML Cite \textit{A. D. Shelepova} and \textit{A. I. Sakhanenko}, Sib. Èlektron. Mat. Izv. 18, No. 2, 1667--1688 (2021; Zbl 1491.60050) Full Text: DOI OpenURL
Akhundov, Adalat Ya.; Habibova, Arasta Sh. On an inverse problem for a parabolic equation in a domain with moving boundaries. (English) Zbl 1485.35417 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 2, 262-269 (2021). MSC: 35R30 35R37 35K20 PDF BibTeX XML Cite \textit{A. Ya. Akhundov} and \textit{A. Sh. Habibova}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 2, 262--269 (2021; Zbl 1485.35417) Full Text: DOI OpenURL
Boroomand, Bijan; Parand, Sina Towards a general interpolation scheme. (English) Zbl 07414357 Comput. Methods Appl. Mech. Eng. 381, Article ID 113830, 41 p. (2021). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{B. Boroomand} and \textit{S. Parand}, Comput. Methods Appl. Mech. Eng. 381, Article ID 113830, 41 p. (2021; Zbl 07414357) Full Text: DOI OpenURL
Hilger, Daniel; Hosters, Norbert; Key, Fabian; Elgeti, Stefanie; Behr, Marek A novel approach to fluid-structure interaction simulations involving large translation and contact. (English) Zbl 07390536 van Brummelen, Harald (ed.) et al., Isogeometric analysis and applications 2018. Selected papers based on the presentations at the third conference, IGAA 2018, Delft, The Netherlands, April 23–26, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 133, 39-56 (2021). MSC: 65M60 65N50 65D07 74F10 74M15 76D05 74S05 76M10 35Q74 35Q35 35R37 PDF BibTeX XML Cite \textit{D. Hilger} et al., Lect. Notes Comput. Sci. Eng. 133, 39--56 (2021; Zbl 07390536) Full Text: DOI arXiv OpenURL
Orlov, Viktor Nikolaevich; Kovalchuk, Oleg Aleksandrovich Exact boundaries for the analytical approximate solution of a class of first-order nonlinear differential equations in the real domain. (English) Zbl 1488.35014 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 25, No. 2, 381-392 (2021). MSC: 35A25 35C10 35A35 PDF BibTeX XML Cite \textit{V. N. Orlov} and \textit{O. A. Kovalchuk}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 25, No. 2, 381--392 (2021; Zbl 1488.35014) Full Text: DOI MNR OpenURL
Xin, Jianjian; Chen, Zhenlei; Shi, Fan; Shi, Fulong; Jin, Qiu A radial basis function-based ghost cell method for complex rigid or flexible moving boundary flows. (English) Zbl 07342024 Int. J. Comput. Methods 18, No. 1, Article ID 2050025, 21 p. (2021). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{J. Xin} et al., Int. J. Comput. Methods 18, No. 1, Article ID 2050025, 21 p. (2021; Zbl 07342024) Full Text: DOI OpenURL
Ma, Zhan; Pan, Wenxiao Data-driven nonintrusive reduced order modeling for dynamical systems with moving boundaries using Gaussian process regression. (English) Zbl 07337778 Comput. Methods Appl. Mech. Eng. 373, Article ID 113495, 25 p. (2021). MSC: 65-XX 62-XX PDF BibTeX XML Cite \textit{Z. Ma} and \textit{W. Pan}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113495, 25 p. (2021; Zbl 07337778) Full Text: DOI arXiv OpenURL
Cheng, Long; Du, Lin; Wang, Xiaoyu; Sun, Xiaofeng; Tucker, Paul G. A semi-implicit immersed boundary method for simulating viscous flow-induced sound with moving boundaries. (English) Zbl 07337739 Comput. Methods Appl. Mech. Eng. 373, Article ID 113438, 22 p. (2021). MSC: 76-XX 74-XX PDF BibTeX XML Cite \textit{L. Cheng} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113438, 22 p. (2021; Zbl 07337739) Full Text: DOI OpenURL
Taleei, Ameneh A moving kriging interpolation-based meshfree method for solving two-phase elasticity system. (English) Zbl 1474.74014 J. Math. Model. 9, No. 1, 1-12 (2021). MSC: 74A50 74B05 65N35 82B24 74N20 PDF BibTeX XML Cite \textit{A. Taleei}, J. Math. Model. 9, No. 1, 1--12 (2021; Zbl 1474.74014) Full Text: DOI OpenURL
Sakhanenko, A. I.; Wachtel, V. I.; Prokopenko, E. I.; Shelepova, A. D. On the asymptotics of the distribution of the exit time beyond a non-increasing boundary for a compound renewal process. (Russian. English summary) Zbl 1455.60122 Sib. Èlektron. Mat. Izv. 18, No. 1, 9-26 (2021). MSC: 60K15 60F17 PDF BibTeX XML Cite \textit{A. I. Sakhanenko} et al., Sib. Èlektron. Mat. Izv. 18, No. 1, 9--26 (2021; Zbl 1455.60122) Full Text: DOI OpenURL
Abbate, Emanuela; Iollo, Angelo; Puppo, Gabriella An implicit scheme for moving walls and multi-material interfaces in weakly compressible materials. (English) Zbl 1474.65306 Commun. Comput. Phys. 27, No. 1, 116-144 (2020). MSC: 65M08 65M99 76T15 PDF BibTeX XML Cite \textit{E. Abbate} et al., Commun. Comput. Phys. 27, No. 1, 116--144 (2020; Zbl 1474.65306) Full Text: DOI OpenURL
Lewin, Thomas D.; Maini, Philip K.; Moros, Eduardo G.; Enderling, Heiko; Byrne, Helen M. A three phase model to investigate the effects of dead material on the growth of avascular tumours. (English) Zbl 1467.92061 Math. Model. Nat. Phenom. 15, Paper No. 22, 29 p. (2020). MSC: 92C32 92C37 92C35 PDF BibTeX XML Cite \textit{T. D. Lewin} et al., Math. Model. Nat. Phenom. 15, Paper No. 22, 29 p. (2020; Zbl 1467.92061) Full Text: DOI OpenURL
Anisimova, Maria; Knyazeva, Anna; Sevostianov, Igor Evolution of the effective elastic properties of metal matrix composites during the synthesis. (English) Zbl 07228649 Int. J. Eng. Sci. 153, Article ID 103307, 8 p. (2020). MSC: 74-XX 78-XX PDF BibTeX XML Cite \textit{M. Anisimova} et al., Int. J. Eng. Sci. 153, Article ID 103307, 8 p. (2020; Zbl 07228649) Full Text: DOI OpenURL
Hughes, Thomas J. R.; Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Hsu, Ming-Chen Computational cardiovascular analysis with the variational multiscale methods and isogeometric discretization. (English) Zbl 1454.65119 Grama, Ananth (ed.) et al., Parallel algorithms in computational science and engineering. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 151-193 (2020). MSC: 65M60 35Q30 70J50 76Z05 92C35 76M10 PDF BibTeX XML Cite \textit{T. J. R. Hughes} et al., in: Parallel algorithms in computational science and engineering. Cham: Birkhäuser. 151--193 (2020; Zbl 1454.65119) Full Text: DOI OpenURL
Oçafrain, William \(Q\)-processes and asymptotic properties of Markov processes conditioned not to hit moving boundaries. (English) Zbl 1434.60011 Stochastic Processes Appl. 130, No. 6, 3445-3476 (2020). MSC: 60B10 60J05 60J25 60J50 60J60 PDF BibTeX XML Cite \textit{W. Oçafrain}, Stochastic Processes Appl. 130, No. 6, 3445--3476 (2020; Zbl 1434.60011) Full Text: DOI arXiv OpenURL
Koga, Shumon; Krstic, Miroslav Arctic sea ice state estimation from thermodynamic PDE model. (English) Zbl 1430.93205 Automatica 112, Article ID 108713, 8 p. (2020). MSC: 93E10 93C20 86A08 PDF BibTeX XML Cite \textit{S. Koga} and \textit{M. Krstic}, Automatica 112, Article ID 108713, 8 p. (2020; Zbl 1430.93205) Full Text: DOI arXiv OpenURL
Liu, Shuang; Liu, Xinfeng Krylov implicit integration factor method for a class of stiff reaction-diffusion systems with moving boundaries. (English) Zbl 1427.65172 Discrete Contin. Dyn. Syst., Ser. B 25, No. 1, 141-159 (2020). MSC: 65M06 92D25 35R37 35K57 65L06 65L04 35Q92 65M20 65F50 65F60 PDF BibTeX XML Cite \textit{S. Liu} and \textit{X. Liu}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 1, 141--159 (2020; Zbl 1427.65172) Full Text: DOI OpenURL
Dong, H.; Yang, L. M. An immersed boundary-simplified gas kinetic scheme for 2D incompressible flows with curved and moving boundaries. (English) Zbl 1488.76093 Adv. Appl. Math. Mech. 11, No. 5, 1177-1199 (2019). MSC: 76M12 76N20 PDF BibTeX XML Cite \textit{H. Dong} and \textit{L. M. Yang}, Adv. Appl. Math. Mech. 11, No. 5, 1177--1199 (2019; Zbl 1488.76093) Full Text: DOI OpenURL
Gugat, Martin Exact controllability of a string to rest with a moving boundary. (English) Zbl 1453.93017 Control Cybern. 48, No. 1, 69-87 (2019). MSC: 93B05 93C20 74K05 PDF BibTeX XML Cite \textit{M. Gugat}, Control Cybern. 48, No. 1, 69--87 (2019; Zbl 1453.93017) OpenURL
Shao, Arick On Carleman and observability estimates for wave equations on time-dependent domains. (English) Zbl 1437.35441 Proc. Lond. Math. Soc. (3) 119, No. 4, 998-1064 (2019). Reviewer: Vyacheslav I. Maksimov (Yekaterinburg) MSC: 35L05 93B05 93B07 93B27 53C50 PDF BibTeX XML Cite \textit{A. Shao}, Proc. Lond. Math. Soc. (3) 119, No. 4, 998--1064 (2019; Zbl 1437.35441) Full Text: DOI arXiv OpenURL
Della Porta, Francesco A model for the evolution of highly reversible martensitic transformations. (English) Zbl 1428.35591 Math. Models Methods Appl. Sci. 29, No. 3, 493-530 (2019). MSC: 35Q79 35D30 35Q74 74N20 74A50 80A22 35R35 PDF BibTeX XML Cite \textit{F. Della Porta}, Math. Models Methods Appl. Sci. 29, No. 3, 493--530 (2019; Zbl 1428.35591) Full Text: DOI arXiv OpenURL
Della Porta, Francesco Analysis of a moving mask hypothesis for martensitic transformations. (English) Zbl 1425.74049 J. Nonlinear Sci. 29, No. 5, 2341-2384 (2019). MSC: 74A50 74N05 74N10 74N15 74N20 PDF BibTeX XML Cite \textit{F. Della Porta}, J. Nonlinear Sci. 29, No. 5, 2341--2384 (2019; Zbl 1425.74049) Full Text: DOI arXiv OpenURL
Anzà, Fabio; Messina, Antonino; Militello, Benedetto Resonant transitions due to changing boundaries. (English) Zbl 1423.81062 Open Syst. Inf. Dyn. 26, No. 2, Article ID 1950006, 11 p. (2019). MSC: 81Q05 35Q41 81U99 42A38 35J57 PDF BibTeX XML Cite \textit{F. Anzà} et al., Open Syst. Inf. Dyn. 26, No. 2, Article ID 1950006, 11 p. (2019; Zbl 1423.81062) Full Text: DOI arXiv OpenURL
Zhou, Jianrong; Li, Heng; Xu, Yongzhi Ritz-Galerkin method for solving an inverse problem of parabolic equation with moving boundaries and integral condition. (English) Zbl 1418.65121 Appl. Anal. 98, No. 10, 1741-1755 (2019). MSC: 65M32 35K20 35R30 PDF BibTeX XML Cite \textit{J. Zhou} et al., Appl. Anal. 98, No. 10, 1741--1755 (2019; Zbl 1418.65121) Full Text: DOI OpenURL
Chertock, Alina; Coco, Armando; Kurganov, Alexander; Russo, Giovanni A second-order finite-difference method for compressible fluids in domains with moving boundaries. (English) Zbl 1488.76097 Commun. Comput. Phys. 23, No. 1, 230-263 (2018). MSC: 76M20 65M06 65M20 76N99 PDF BibTeX XML Cite \textit{A. Chertock} et al., Commun. Comput. Phys. 23, No. 1, 230--263 (2018; Zbl 1488.76097) Full Text: DOI OpenURL
Alexandrov, Dmitri V.; Ivanov, Alexander A.; Alexandrova, Irina V. Analytical solutions of mushy layer equations describing directional solidification in the presence of nucleation. (English) Zbl 1404.82064 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2113, Article ID 20170217, 10 p. (2018). MSC: 82D25 35Q82 PDF BibTeX XML Cite \textit{D. V. Alexandrov} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2113, Article ID 20170217, 10 p. (2018; Zbl 1404.82064) Full Text: DOI OpenURL
Xin, Jianjian; Shi, Fulong; Jin, Qiu; Lin, Chao A radial basis function based ghost cell method with improved mass conservation for complex moving boundary flows. (English) Zbl 1410.76308 Comput. Fluids 176, 210-225 (2018). MSC: 76M20 65M06 76D05 PDF BibTeX XML Cite \textit{J. Xin} et al., Comput. Fluids 176, 210--225 (2018; Zbl 1410.76308) Full Text: DOI OpenURL
Pan, Hongjing; Xing, Ruixiang; Hu, Bei A free boundary problem with two moving boundaries modeling grain hydration. (English) Zbl 1391.35430 Nonlinearity 31, No. 8, 3591-3616 (2018). MSC: 35R35 35R37 74N20 76S05 80A22 35Q74 35Q79 35Q35 PDF BibTeX XML Cite \textit{H. Pan} et al., Nonlinearity 31, No. 8, 3591--3616 (2018; Zbl 1391.35430) Full Text: DOI OpenURL
Ehsan Khalili, M.; Larsson, Martin; Müller, Bernhard Immersed boundary method for viscous compressible flows around moving bodies. (English) Zbl 1410.76285 Comput. Fluids 170, 77-92 (2018). MSC: 76M20 65M06 76Nxx 76Q05 PDF BibTeX XML Cite \textit{M. Ehsan Khalili} et al., Comput. Fluids 170, 77--92 (2018; Zbl 1410.76285) Full Text: DOI OpenURL
Lewin, Thomas D.; Maini, Philip K.; Moros, Eduardo G.; Enderling, Heiko; Byrne, Helen M. The evolution of tumour composition during fractionated radiotherapy: implications for outcome. (English) Zbl 1394.92061 Bull. Math. Biol. 80, No. 5, 1207-1235 (2018). MSC: 92C50 PDF BibTeX XML Cite \textit{T. D. Lewin} et al., Bull. Math. Biol. 80, No. 5, 1207--1235 (2018; Zbl 1394.92061) Full Text: DOI OpenURL
Oçafrain, William Quasi-stationarity and quasi-ergodicity for discrete-time Markov chains with absorbing boundaries moving periodically. (English) Zbl 1390.60023 ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 1, 429-451 (2018). MSC: 60B10 60F99 47D03 60J10 PDF BibTeX XML Cite \textit{W. Oçafrain}, ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 1, 429--451 (2018; Zbl 1390.60023) Full Text: arXiv Link OpenURL
Muralidharan, Balaji; Menon, Suresh Simulation of moving boundaries interacting with compressible reacting flows using a second-order adaptive Cartesian cut-cell method. (English) Zbl 1381.76266 J. Comput. Phys. 357, 230-262 (2018). MSC: 76M25 76N15 PDF BibTeX XML Cite \textit{B. Muralidharan} and \textit{S. Menon}, J. Comput. Phys. 357, 230--262 (2018; Zbl 1381.76266) Full Text: DOI OpenURL
Anisimov, V. N.; Litvinov, V. L. Calculation of eigen frequencies of a rope moving in longitudinal direction. (Russian. English summary) Zbl 1399.35369 Zh. Sredn. Mat. Obshch. 19, No. 1, 130-139 (2017). Reviewer: Pavel A. Shamanaev (Saransk) MSC: 35R37 35G30 35Q70 PDF BibTeX XML Cite \textit{V. N. Anisimov} and \textit{V. L. Litvinov}, Zh. Sredn. Mat. Obshch. 19, No. 1, 130--139 (2017; Zbl 1399.35369) OpenURL
Furquan, Mohd; Navrose, Mittal Sanjay A fast mesh moving scheme for flow-induced vibrations of rigid bodies. (English) Zbl 1390.76313 Comput. Fluids 141, 116-123 (2016). MSC: 76M10 65M60 65M50 74F10 74S05 PDF BibTeX XML Cite \textit{M. Furquan} and \textit{M. S. Navrose}, Comput. Fluids 141, 116--123 (2016; Zbl 1390.76313) Full Text: DOI OpenURL
Kumar, Manish; Roy, Somnath A sharp interface immersed boundary method for moving geometries with mass conservation and smooth pressure variation. (English) Zbl 1390.76585 Comput. Fluids 137, 15-35 (2016). MSC: 76M20 65M06 76D05 PDF BibTeX XML Cite \textit{M. Kumar} and \textit{S. Roy}, Comput. Fluids 137, 15--35 (2016; Zbl 1390.76585) Full Text: DOI OpenURL
Afkhami, Shahriar; Cummings, Linda J.; Griffiths, Ian M. Interfacial deformation and jetting of a magnetic fluid. (English) Zbl 1390.76910 Comput. Fluids 124, 149-156 (2016). MSC: 76W05 76M25 PDF BibTeX XML Cite \textit{S. Afkhami} et al., Comput. Fluids 124, 149--156 (2016; Zbl 1390.76910) Full Text: DOI arXiv OpenURL
Esmaeilbeigi, Mohsen; Garmanjani, Gholamreza A shift-adaptive meshfree method for solving a class of initial-boundary value problems with moving boundaries in one-dimensional domain. (English) Zbl 1354.65203 Numer. Methods Partial Differ. Equations 32, No. 6, 1622-1646 (2016). MSC: 65M70 35L75 35Q53 65M06 65M12 PDF BibTeX XML Cite \textit{M. Esmaeilbeigi} and \textit{G. Garmanjani}, Numer. Methods Partial Differ. Equations 32, No. 6, 1622--1646 (2016; Zbl 1354.65203) Full Text: DOI OpenURL
do Carmo Coimbra, Maria; Rodrigues, Alirio Egidio; Duarte Rodrigues, Jaime; Mendes Robalo, Rui Jorge; Pires Almeida, Rui Manuel Moving finite element method: fundamentals and applications in chemical engineering. (English) Zbl 1339.92002 Boca Raton, FL: CRC Press (ISBN 978-1-4987-2386-2/hbk; 978-1-4987-2388-6/ebook). xxix, 248 p. (2016). MSC: 92-01 92E99 65Z99 00A06 PDF BibTeX XML Cite \textit{M. do Carmo Coimbra} et al., Moving finite element method: fundamentals and applications in chemical engineering. Boca Raton, FL: CRC Press (2016; Zbl 1339.92002) Full Text: DOI OpenURL
Luo, Qiao; Zhang, Xiaobing Numerical simulation of gas-solid two-phase reaction flow with multiple moving boundaries. (English) Zbl 1356.76383 Int. J. Numer. Methods Heat Fluid Flow 25, No. 2, 375-390 (2015). MSC: 76T10 PDF BibTeX XML Cite \textit{Q. Luo} and \textit{X. Zhang}, Int. J. Numer. Methods Heat Fluid Flow 25, No. 2, 375--390 (2015; Zbl 1356.76383) Full Text: DOI OpenURL
Dorschner, B.; Chikatamarla, S. S.; Bösch, F.; Karlin, I. V. Grad’s approximation for moving and stationary walls in entropic lattice Boltzmann simulations. (English) Zbl 1349.76676 J. Comput. Phys. 295, 340-354 (2015). MSC: 76M28 PDF BibTeX XML Cite \textit{B. Dorschner} et al., J. Comput. Phys. 295, 340--354 (2015; Zbl 1349.76676) Full Text: DOI OpenURL
Kavallaris, N. I.; Yan, Y. A time discretization scheme for a nonlocal degenerate problem modelling resistance spot welding. (English) Zbl 1375.74087 Math. Model. Nat. Phenom. 10, No. 6, 90-112 (2015). MSC: 74S05 65M60 35Q74 35K20 35K59 74N20 35K55 35K65 35R35 PDF BibTeX XML Cite \textit{N. I. Kavallaris} and \textit{Y. Yan}, Math. Model. Nat. Phenom. 10, No. 6, 90--112 (2015; Zbl 1375.74087) Full Text: DOI Link OpenURL
Zhou, Jianrong; Li, Heng A Ritz-Galerkin approximation to the solution of parabolic equation with moving boundaries. (English) Zbl 1329.35364 Bound. Value Probl. 2015, Paper No. 236, 17 p. (2015). MSC: 35R37 35K20 65M60 PDF BibTeX XML Cite \textit{J. Zhou} and \textit{H. Li}, Bound. Value Probl. 2015, Paper No. 236, 17 p. (2015; Zbl 1329.35364) Full Text: DOI OpenURL
Lindstrom, Michael Asymptotic analysis of a magnetized target fusion reactor. (English) Zbl 1327.76088 SIAM J. Appl. Math. 75, No. 5, 2050-2071 (2015). MSC: 76L05 41A60 35L40 35L45 35L50 35L65 35L67 35Q31 35R37 PDF BibTeX XML Cite \textit{M. Lindstrom}, SIAM J. Appl. Math. 75, No. 5, 2050--2071 (2015; Zbl 1327.76088) Full Text: DOI OpenURL
Beale, J. Thomas Uniform error estimates for Navier-Stokes flow with an exact moving boundary using the immersed interface method. (English) Zbl 1326.76078 SIAM J. Numer. Anal. 53, No. 4, 2097-2111 (2015). MSC: 76M20 65N06 65N12 74F10 76D05 76D27 35R05 PDF BibTeX XML Cite \textit{J. T. Beale}, SIAM J. Numer. Anal. 53, No. 4, 2097--2111 (2015; Zbl 1326.76078) Full Text: DOI arXiv OpenURL
Emikh, Vladimir N. Theoretical and numerical analysis in boundary-value problems of filtration. (Russian. English summary) Zbl 1383.76444 Vychisl. Tekhnol. 19, No. 6, 95-107 (2014). MSC: 76S05 76M25 PDF BibTeX XML Cite \textit{V. N. Emikh}, Vychisl. Tekhnol. 19, No. 6, 95--107 (2014; Zbl 1383.76444) Full Text: Link OpenURL
Novak, Igor L.; Slepchenko, Boris M. A conservative algorithm for parabolic problems in domains with moving boundaries. (English) Zbl 1349.65327 J. Comput. Phys. 270, 203-213 (2014). MSC: 65M06 92C05 35Q92 PDF BibTeX XML Cite \textit{I. L. Novak} and \textit{B. M. Slepchenko}, J. Comput. Phys. 270, 203--213 (2014; Zbl 1349.65327) Full Text: DOI Link OpenURL
Litvinov, V. L. Study of free oscillations of mechanical objects with moving boundaries using the asymptotic method. (Russian. English summary) Zbl 1340.35344 Zh. Sredn. Mat. Obshch. 16, No. 1, 83-88 (2014). Reviewer: Artyom Andronov (Saransk) MSC: 35Q74 35B40 74H45 35R37 74K10 PDF BibTeX XML Cite \textit{V. L. Litvinov}, Zh. Sredn. Mat. Obshch. 16, No. 1, 83--88 (2014; Zbl 1340.35344) OpenURL
Yoon, Young-Cheol; Song, Jeong-Hoon Extended particle difference method for moving boundary problems. (English) Zbl 1311.74132 Comput. Mech. 54, No. 3, 723-743 (2014). MSC: 74S05 80M10 65M60 74N20 80A22 PDF BibTeX XML Cite \textit{Y.-C. Yoon} and \textit{J.-H. Song}, Comput. Mech. 54, No. 3, 723--743 (2014; Zbl 1311.74132) Full Text: DOI OpenURL
Duddu, Ravindra Numerical modeling of corrosion pit propagation using the combined extended finite element and level set method. (English) Zbl 1311.74051 Comput. Mech. 54, No. 3, 613-627 (2014). MSC: 74F25 74S05 74N20 PDF BibTeX XML Cite \textit{R. Duddu}, Comput. Mech. 54, No. 3, 613--627 (2014; Zbl 1311.74051) Full Text: DOI OpenURL
Tian, Fang-Bao; Bharti, Ram P.; Xu, Yuan-Qing Deforming-spatial-domain/stabilized space-time (DSD/SST) method in computation of non-Newtonian fluid flow and heat transfer with moving boundaries. (English) Zbl 1398.76130 Comput. Mech. 53, No. 2, 257-271 (2014). MSC: 76M10 76D05 74F10 65Y05 76M25 PDF BibTeX XML Cite \textit{F.-B. Tian} et al., Comput. Mech. 53, No. 2, 257--271 (2014; Zbl 1398.76130) Full Text: DOI OpenURL
Kumar, Kundan; Van Noorden, Tycho; Pop, Iuliu Sorin Upscaling of reactive flows in domains with moving oscillating boundaries. (English) Zbl 1273.76343 Discrete Contin. Dyn. Syst., Ser. S 7, No. 1, 95-111 (2014). MSC: 76M50 76M45 35R35 35R37 74F25 PDF BibTeX XML Cite \textit{K. Kumar} et al., Discrete Contin. Dyn. Syst., Ser. S 7, No. 1, 95--111 (2014; Zbl 1273.76343) Full Text: DOI OpenURL
Masud, Arif; Calderer, Ramon Residual-based turbulence models for moving boundary flows: hierarchical application of variational multiscale method and three-level scale separation. (English) Zbl 1455.76062 Int. J. Numer. Methods Fluids 73, No. 3, 284-305 (2013). MSC: 76F65 76D05 PDF BibTeX XML Cite \textit{A. Masud} and \textit{R. Calderer}, Int. J. Numer. Methods Fluids 73, No. 3, 284--305 (2013; Zbl 1455.76062) Full Text: DOI OpenURL
Litvinov, V. L. Solving boundary value problems with moving boundaries using the method of change of variables in the functional equation. (Russian. English summary) Zbl 1340.35399 Zh. Sredn. Mat. Obshch. 15, No. 3, 112-119 (2013). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35R37 35L20 35L05 PDF BibTeX XML Cite \textit{V. L. Litvinov}, Zh. Sredn. Mat. Obshch. 15, No. 3, 112--119 (2013; Zbl 1340.35399) OpenURL
Meinke, Matthias; Schneiders, Lennart; Günther, Claudia; Schröder, Wolfgang A cut-cell method for sharp moving boundaries in Cartesian grids. (English) Zbl 1290.76087 Comput. Fluids 85, 135-142 (2013). MSC: 76M12 65M08 76N15 PDF BibTeX XML Cite \textit{M. Meinke} et al., Comput. Fluids 85, 135--142 (2013; Zbl 1290.76087) Full Text: DOI OpenURL
Kyselica, Juraj Evolution of the solidification front of a binary mixture. (English) Zbl 1282.74069 Appl. Math. Modelling 37, No. 6, 3761-3776 (2013). MSC: 74N25 74N20 74S20 65N06 PDF BibTeX XML Cite \textit{J. Kyselica}, Appl. Math. Modelling 37, No. 6, 3761--3776 (2013; Zbl 1282.74069) Full Text: DOI OpenURL
Aurzada, Frank; Baumgarten, Christoph Persistence of fractional Brownian motion with moving boundaries and applications. (English) Zbl 1267.82047 J. Phys. A, Math. Theor. 46, No. 12, Article ID 125007, 12 p. (2013). MSC: 82B31 60J65 60G22 PDF BibTeX XML Cite \textit{F. Aurzada} and \textit{C. Baumgarten}, J. Phys. A, Math. Theor. 46, No. 12, Article ID 125007, 12 p. (2013; Zbl 1267.82047) Full Text: DOI arXiv OpenURL
Noleto, Luciano Gonçalves; Barcelos, Manuel N. D. jun.; Brasil, Antonio C. P. jun. A pseudo-Stokes mesh motion algorithm. (English) Zbl 1262.76054 Adv. Appl. Math. Mech. 5, No. 2, 194-211 (2013). MSC: 76M10 65M50 35R37 PDF BibTeX XML Cite \textit{L. G. Noleto} et al., Adv. Appl. Math. Mech. 5, No. 2, 194--211 (2013; Zbl 1262.76054) Full Text: DOI OpenURL
Luo, Haoxiang; Dai, Hu; Ferreira de Sousa, Paulo J. S. A.; Yin, Bo On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries. (English) Zbl 1365.76180 Comput. Fluids 56, 61-76 (2012). MSC: 76M15 76Z10 76D05 76M20 PDF BibTeX XML Cite \textit{H. Luo} et al., Comput. Fluids 56, 61--76 (2012; Zbl 1365.76180) Full Text: DOI OpenURL
Anisimov, V. N.; Litvinov, V. L.; Korpen, I. V. On a method of analytical solution of the wave equation describing the oscillation system with moving boundaries. (Russian. English summary) Zbl 1326.35182 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2012, No. 3(28), 145-151 (2012). MSC: 35L05 35L04 35Q70 PDF BibTeX XML Cite \textit{V. N. Anisimov} et al., Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2012, No. 3(28), 145--151 (2012; Zbl 1326.35182) Full Text: DOI MNR OpenURL
Bataillon, C.; Bouchon, F.; Chainais-Hillairet, C.; Fuhrmann, J.; Hoarau, E.; Touzani, R. Numerical methods for the simulation of a corrosion model with moving oxide layer. (English) Zbl 1277.35209 J. Comput. Phys. 231, No. 18, 6213-6231 (2012). MSC: 35K57 82D35 35R37 PDF BibTeX XML Cite \textit{C. Bataillon} et al., J. Comput. Phys. 231, No. 18, 6213--6231 (2012; Zbl 1277.35209) Full Text: DOI OpenURL
Shokina, N. Yu. To the problem of construction of difference schemes on movable grids. (English) Zbl 1264.65142 Russ. J. Numer. Anal. Math. Model. 27, No. 6, 603-626 (2012). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M06 35L02 76B15 76M20 65M50 PDF BibTeX XML Cite \textit{N. Yu. Shokina}, Russ. J. Numer. Anal. Math. Model. 27, No. 6, 603--626 (2012; Zbl 1264.65142) Full Text: DOI OpenURL
Acosta Minoli, Cesar A.; Kopriva, David A. Boundary states at reflective moving boundaries. (English) Zbl 1250.78048 J. Comput. Phys. 231, No. 11, 4160-4184 (2012). MSC: 78M22 76Q05 65M70 35Q31 PDF BibTeX XML Cite \textit{C. A. Acosta Minoli} and \textit{D. A. Kopriva}, J. Comput. Phys. 231, No. 11, 4160--4184 (2012; Zbl 1250.78048) Full Text: DOI OpenURL
Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F. Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. (English) Zbl 1242.92019 Int. J. Numer. Methods Biomed. Eng. 28, No. 2, 257-272 (2012). MSC: 92C35 76D05 76M12 74F10 35R37 PDF BibTeX XML Cite \textit{V. Casulli} et al., Int. J. Numer. Methods Biomed. Eng. 28, No. 2, 257--272 (2012; Zbl 1242.92019) Full Text: DOI OpenURL
Zandi, S. M.; Boroomand, B.; Soghrati, S. Exponential basis functions in solution of incompressible fluid problems with moving free surfaces. (English) Zbl 1426.76583 J. Comput. Phys. 231, No. 2, 505-527 (2012). MSC: 76M25 76B07 PDF BibTeX XML Cite \textit{S. M. Zandi} et al., J. Comput. Phys. 231, No. 2, 505--527 (2012; Zbl 1426.76583) Full Text: DOI Link OpenURL
Benaouicha, M.; Hamdouni, A. Fluid-structure interaction with an application to a body immersed and anchored in a fluid flow. (English. Ukrainian original) Zbl 1272.74146 Int. Appl. Mech. 47, No. 3, 338-349 (2011); translation from Prikl. Mekh., Kiev 47, No. 3, 132-144 (2011). MSC: 74F10 74S05 76M10 76D05 PDF BibTeX XML Cite \textit{M. Benaouicha} and \textit{A. Hamdouni}, Int. Appl. Mech. 47, No. 3, 338--349 (2011; Zbl 1272.74146); translation from Prikl. Mekh., Kiev 47, No. 3, 132--144 (2011) Full Text: DOI OpenURL
Ganghoffer, Jean-François Mechanics and thermodynamics of surface growth viewed as moving discontinuities. (English) Zbl 1272.74475 Mech. Res. Commun. 38, No. 5, 372-377 (2011). MSC: 74L15 74A15 92C10 PDF BibTeX XML Cite \textit{J.-F. Ganghoffer}, Mech. Res. Commun. 38, No. 5, 372--377 (2011; Zbl 1272.74475) Full Text: DOI Link OpenURL
Flavin, James N. Energy bounds for a moving boundary initial-boundary value problem for the semi-linear wave equation. (English) Zbl 1269.74131 Math. Mech. Solids 16, No. 6, 605-614 (2011). MSC: 74J30 PDF BibTeX XML Cite \textit{J. N. Flavin}, Math. Mech. Solids 16, No. 6, 605--614 (2011; Zbl 1269.74131) Full Text: DOI OpenURL
Reutskiy, S. Y. A meshless method for one-dimensional Stefan problems. (English) Zbl 1220.65148 Appl. Math. Comput. 217, No. 23, 9689-9701 (2011). MSC: 65M80 35K05 80A22 80M25 PDF BibTeX XML Cite \textit{S. Y. Reutskiy}, Appl. Math. Comput. 217, No. 23, 9689--9701 (2011; Zbl 1220.65148) Full Text: DOI OpenURL
Rochus, Véronique; Van Miegroet, Laurent; Rixen, Daniel J.; Duysinx, Pierre Electrostatic simulation using XFEM for conductor and dielectric interfaces. (English) Zbl 1217.78061 Int. J. Numer. Methods Eng. 85, No. 10, 1207-1226 (2011). MSC: 78M10 78A30 PDF BibTeX XML Cite \textit{V. Rochus} et al., Int. J. Numer. Methods Eng. 85, No. 10, 1207--1226 (2011; Zbl 1217.78061) Full Text: DOI OpenURL
Tan, Sirui; Shu, Chi-Wang A high order moving boundary treatment for compressible inviscid flows. (English) Zbl 1416.76193 J. Comput. Phys. 230, No. 15, 6023-6036 (2011). MSC: 76M20 65M06 76N15 PDF BibTeX XML Cite \textit{S. Tan} and \textit{C.-W. Shu}, J. Comput. Phys. 230, No. 15, 6023--6036 (2011; Zbl 1416.76193) Full Text: DOI OpenURL
Boiarkine, Oleg; Kuzmin, Dmitri; Čanić, Sunčica; Guidoboni, Giovanna; Mikelić, Andro A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains. (English) Zbl 1218.65106 J. Comput. Phys. 230, No. 8, 2896-2914 (2011). MSC: 65M60 35K20 PDF BibTeX XML Cite \textit{O. Boiarkine} et al., J. Comput. Phys. 230, No. 8, 2896--2914 (2011; Zbl 1218.65106) Full Text: DOI OpenURL
Marlow, R.; Hubbard, M. E.; Jimack, P. K. Moving mesh methods for solving parabolic partial differential equations. (English) Zbl 1278.65154 Comput. Fluids 46, No. 1, 353-361 (2011). MSC: 65M60 65M50 76S05 PDF BibTeX XML Cite \textit{R. Marlow} et al., Comput. Fluids 46, No. 1, 353--361 (2011; Zbl 1278.65154) Full Text: DOI Link OpenURL
Zhou, C. H.; Shu, Chang A local domain-free discretization method for simulation of incompressible flows over moving bodies. (English) Zbl 1394.76044 Int. J. Numer. Methods Fluids 66, No. 2, 162-182 (2011). MSC: 76D05 65M60 76M10 PDF BibTeX XML Cite \textit{C. H. Zhou} and \textit{C. Shu}, Int. J. Numer. Methods Fluids 66, No. 2, 162--182 (2011; Zbl 1394.76044) Full Text: DOI OpenURL
Barone, Vincenzo; De Lillo, Silvana; Lupo, Gaia; Polimeno, Antonino Dirichlet-to-Neumann map for a nonlinear diffusion equation. (English) Zbl 1213.35238 Stud. Appl. Math. 126, No. 2, 145-155 (2011). MSC: 35K20 35K59 35B30 PDF BibTeX XML Cite \textit{V. Barone} et al., Stud. Appl. Math. 126, No. 2, 145--155 (2011; Zbl 1213.35238) Full Text: DOI OpenURL
Calvo, N.; Durany, J.; Toja, R.; Vázquez, C. Numerical methods for a fixed domain formulation of the glacier profile problem with alternative boundary conditions. (English) Zbl 1201.86013 J. Comput. Appl. Math. 235, No. 5, 1394-1411 (2011). MSC: 86A40 PDF BibTeX XML Cite \textit{N. Calvo} et al., J. Comput. Appl. Math. 235, No. 5, 1394--1411 (2011; Zbl 1201.86013) Full Text: DOI OpenURL
Nestor, Ruairi M.; Quinlan, Nathan J. Incompressible moving boundary flows with the finite volume particle method. (English) Zbl 1231.76180 Comput. Methods Appl. Mech. Eng. 199, No. 33-36, 2249-2260 (2010). MSC: 76M12 76M28 76D05 PDF BibTeX XML Cite \textit{R. M. Nestor} and \textit{N. J. Quinlan}, Comput. Methods Appl. Mech. Eng. 199, No. 33--36, 2249--2260 (2010; Zbl 1231.76180) Full Text: DOI Link OpenURL
Vitorino, N.; Abrantes, J. C. C.; Frade, J. R. Numerical solutions for mixed controlled solidification of phase change materials. (English) Zbl 1201.80064 Int. J. Heat Mass Transfer 53, No. 23-24, 5335-5342 (2010). MSC: 80A22 80A20 80M20 PDF BibTeX XML Cite \textit{N. Vitorino} et al., Int. J. Heat Mass Transfer 53, No. 23--24, 5335--5342 (2010; Zbl 1201.80064) Full Text: DOI OpenURL
Melillo, S.; Montefusco, E. On the existence of a travelling wave solution for a model of actin-based bacterial movement. (English) Zbl 1204.35066 J. Math. Anal. Appl. 372, No. 2, 423-438 (2010). MSC: 35C07 92C99 35Q92 PDF BibTeX XML Cite \textit{S. Melillo} and \textit{E. Montefusco}, J. Math. Anal. Appl. 372, No. 2, 423--438 (2010; Zbl 1204.35066) Full Text: DOI OpenURL
Wolgemuth, Charles W.; Zajac, Mark The moving boundary node method: A level set-based, finite volume algorithm with applications to cell motility. (English) Zbl 1195.92006 J. Comput. Phys. 229, No. 19, 7287-7308 (2010). MSC: 92C17 92C40 35R37 92C37 92C05 35K57 PDF BibTeX XML Cite \textit{C. W. Wolgemuth} and \textit{M. Zajac}, J. Comput. Phys. 229, No. 19, 7287--7308 (2010; Zbl 1195.92006) Full Text: DOI Link OpenURL
Berezovski, Arkadi; Maugin, Gérard. A. Jump conditions and kinetic relations at moving discontinuities. (English) Zbl 1351.74069 ZAMM, Z. Angew. Math. Mech. 90, No. 7-8, 537-543 (2010). MSC: 74N20 74R10 PDF BibTeX XML Cite \textit{A. Berezovski} and \textit{Gérard. A. Maugin}, ZAMM, Z. Angew. Math. Mech. 90, No. 7--8, 537--543 (2010; Zbl 1351.74069) Full Text: DOI OpenURL
Alexandrov, D. V.; Malygin, A. P. The Stefan problem for unsteady-state evaporation of a volatile component in the solid-liquid-gas systems: exact analytical solution. (English) Zbl 1191.80036 Int. J. Heat Mass Transfer 53, No. 13-14, 2790-2794 (2010). MSC: 80A22 76T30 PDF BibTeX XML Cite \textit{D. V. Alexandrov} and \textit{A. P. Malygin}, Int. J. Heat Mass Transfer 53, No. 13--14, 2790--2794 (2010; Zbl 1191.80036) Full Text: DOI OpenURL
Senthil, G.; Jayaraman, Girija; Rao, A. D. A variable boundary method for modelling two dimensional free surface flows with moving boundaries. (English) Zbl 1425.35163 Appl. Math. Comput. 216, No. 9, 2544-2558 (2010). MSC: 35Q35 76M20 PDF BibTeX XML Cite \textit{G. Senthil} et al., Appl. Math. Comput. 216, No. 9, 2544--2558 (2010; Zbl 1425.35163) Full Text: DOI OpenURL
Cao, Wan-Rong; Sun, Zhi-Zhong Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem. (English) Zbl 1204.65112 J. Comput. Appl. Math. 234, No. 8, 2578-2586 (2010). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65M15 65M06 35K20 65M12 PDF BibTeX XML Cite \textit{W.-R. Cao} and \textit{Z.-Z. Sun}, J. Comput. Appl. Math. 234, No. 8, 2578--2586 (2010; Zbl 1204.65112) Full Text: DOI OpenURL
Lorenzo-Trueba, J.; Voller, V. R. Analytical and numerical solution of a generalized Stefan problem exhibiting two moving boundaries with application to ocean delta formation. (English) Zbl 1183.86002 J. Math. Anal. Appl. 366, No. 2, 538-549 (2010). MSC: 86A05 80A22 PDF BibTeX XML Cite \textit{J. Lorenzo-Trueba} and \textit{V. R. Voller}, J. Math. Anal. Appl. 366, No. 2, 538--549 (2010; Zbl 1183.86002) Full Text: DOI OpenURL
Abdeljabar, R. On the behavior of an interface under molecular diffusion: a theoretical prediction and experimental study. (English) Zbl 1231.76091 FDMP, Fluid Dyn. Mater. Process. 5, No. 2, 193-210 (2009). MSC: 76D50 76-05 76D10 PDF BibTeX XML Cite \textit{R. Abdeljabar}, FDMP, Fluid Dyn. Mater. Process. 5, No. 2, 193--210 (2009; Zbl 1231.76091) Full Text: DOI OpenURL
Ditkowski, Adi; Harness, Yuval High-order embedded finite difference schemes for initial boundary value problems on time dependent irregular domains. (English) Zbl 1203.65133 J. Sci. Comput. 39, No. 3, 394-440 (2009). MSC: 65M06 80A22 PDF BibTeX XML Cite \textit{A. Ditkowski} and \textit{Y. Harness}, J. Sci. Comput. 39, No. 3, 394--440 (2009; Zbl 1203.65133) Full Text: DOI Link OpenURL
Li, Jing-Rebecca; Greengard, Leslie High order accurate methods for the evaluation of layer heat potentials. (English) Zbl 1204.65117 SIAM J. Sci. Comput. 31, No. 5, 3847-3860 (2009). MSC: 65M38 35K05 65R20 31A10 65M12 45D05 45L05 PDF BibTeX XML Cite \textit{J.-R. Li} and \textit{L. Greengard}, SIAM J. Sci. Comput. 31, No. 5, 3847--3860 (2009; Zbl 1204.65117) Full Text: DOI OpenURL
Lo, C. F. Exact time-dependent wave functions of a confined time-dependent harmonic oscillator with two moving boundaries. (English) Zbl 1183.81059 Commun. Theor. Phys. 52, No. 5, 820-824 (2009). MSC: 81Q05 PDF BibTeX XML Cite \textit{C. F. Lo}, Commun. Theor. Phys. 52, No. 5, 820--824 (2009; Zbl 1183.81059) Full Text: DOI OpenURL
Ariel, P. Donald Computation of MHD flow due to moving boundaries. (English) Zbl 1400.76098 Int. J. Comput. Math. 86, No. 12, 2165-2180 (2009). MSC: 76W05 76M25 PDF BibTeX XML Cite \textit{P. D. Ariel}, Int. J. Comput. Math. 86, No. 12, 2165--2180 (2009; Zbl 1400.76098) Full Text: DOI OpenURL
Mackay, Tom G.; Lakhtakia, Akhlesh Counterposition and negative phase velocity in uniformly moving dissipative materials. (English) Zbl 1186.83011 J. Phys. A, Math. Theor. 42, No. 41, Article ID 415401, 13 p. (2009). Reviewer: Vladimir Čadež (Beograd) MSC: 83A05 78A40 PDF BibTeX XML Cite \textit{T. G. Mackay} and \textit{A. Lakhtakia}, J. Phys. A, Math. Theor. 42, No. 41, Article ID 415401, 13 p. (2009; Zbl 1186.83011) Full Text: DOI arXiv OpenURL
Veerapaneni, Shravan K.; Gueyffier, Denis; Biros, George; Zorin, Denis A numerical method for simulating the dynamics of 3D axisymmetric vesicles suspended in viscous flows. (English) Zbl 1422.76144 J. Comput. Phys. 228, No. 19, 7233-7249 (2009). MSC: 76M25 76T20 PDF BibTeX XML Cite \textit{S. K. Veerapaneni} et al., J. Comput. Phys. 228, No. 19, 7233--7249 (2009; Zbl 1422.76144) Full Text: DOI OpenURL
Arora, Pooja; Tandon, P. N. Mathematical models for drug delivery to chronic patients. (English) Zbl 1168.35442 Appl. Math. Modelling 33, No. 2, 692-705 (2009). MSC: 35Q92 92C50 PDF BibTeX XML Cite \textit{P. Arora} and \textit{P. N. Tandon}, Appl. Math. Modelling 33, No. 2, 692--705 (2009; Zbl 1168.35442) Full Text: DOI OpenURL
Narimanyan, Arsen Unilateral conditions modelling the cut front during plasma cutting: FEM solution. (English) Zbl 1167.76340 Appl. Math. Modelling 33, No. 1, 176-197 (2009). MSC: 76M10 35R35 PDF BibTeX XML Cite \textit{A. Narimanyan}, Appl. Math. Modelling 33, No. 1, 176--197 (2009; Zbl 1167.76340) Full Text: DOI OpenURL
Veerapaneni, Shravan K.; Gueyffier, Denis; Zorin, Denis; Biros, George A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2D. (English) Zbl 1275.76175 J. Comput. Phys. 228, No. 7, 2334-2353 (2009). MSC: 76M25 74F10 76Z05 92C30 PDF BibTeX XML Cite \textit{S. K. Veerapaneni} et al., J. Comput. Phys. 228, No. 7, 2334--2353 (2009; Zbl 1275.76175) Full Text: DOI OpenURL
Shishkin, Grigory I.; Shishkina, Lidia P. Difference methods for singular perturbation problems. (English) Zbl 1163.65062 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics 140. Boca Raton, FL: CRC Press (ISBN 978-1-58488-459-0/hbk; 978-0-203-49241-3/ebook). xv, 393 p. (2009). Reviewer: Srinivasan Natesan (Assam) MSC: 65M06 65M12 65N12 35B25 65-02 65N06 35J65 35K57 65M55 65N55 65M50 65N50 PDF BibTeX XML Cite \textit{G. I. Shishkin} and \textit{L. P. Shishkina}, Difference methods for singular perturbation problems. Boca Raton, FL: CRC Press (2009; Zbl 1163.65062) Full Text: DOI OpenURL