Bucataru, Mihai; Marin, Liviu Accelerated iterative algorithms for the Cauchy problem in steady-state anisotropic heat conduction. (English) Zbl 07792394 Numer. Algorithms 95, No. 2, 605-636 (2024). MSC: 65N21 35R30 35R25 35J25 65J20 65N20 PDFBibTeX XMLCite \textit{M. Bucataru} and \textit{L. Marin}, Numer. Algorithms 95, No. 2, 605--636 (2024; Zbl 07792394) Full Text: DOI
Bucataru, Mihai; Cimpean, Iulian; Marin, Liviu Stable reconstruction of discontinuous solutions to the Cauchy problem in steady-state anisotropic heat conduction with non-smooth coefficients. (English) Zbl 1515.80007 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1029-1062 (2023). MSC: 80A23 65N20 65N21 65N30 35Q93 35R30 PDFBibTeX XMLCite \textit{M. Bucataru} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1029--1062 (2023; Zbl 1515.80007) Full Text: DOI
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu An efficient moving pseudo-boundary MFS for void detection. (English) Zbl 1521.65128 Eng. Anal. Bound. Elem. 147, 90-111 (2023). MSC: 65N35 65N21 65N38 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Eng. Anal. Bound. Elem. 147, 90--111 (2023; Zbl 1521.65128) Full Text: DOI
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu The method of fundamental solutions for Brinkman flows. II: Interior domains. (English) Zbl 1476.65330 J. Eng. Math. 127, Paper No. 19, 12 p. (2021). MSC: 65N80 65N35 65N21 65N38 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., J. Eng. Math. 127, Paper No. 19, 12 p. (2021; Zbl 1476.65330) Full Text: DOI
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu The method of fundamental solutions for Brinkman flows. I: Exterior domains. (English) Zbl 1476.65329 J. Eng. Math. 126, Paper No. 10, 13 p. (2021). MSC: 65N80 65N35 65N21 65N38 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., J. Eng. Math. 126, Paper No. 10, 13 p. (2021; Zbl 1476.65329) Full Text: DOI
Voinea-Marinescu, Andreea-Paula; Marin, Liviu; Delvare, Franck BEM-fading regularization algorithm for Cauchy problems in 2D anisotropic heat conduction. (English) Zbl 1515.65276 Numer. Algorithms 88, No. 4, 1667-1702 (2021). MSC: 65N21 65N38 80A19 PDFBibTeX XMLCite \textit{A.-P. Voinea-Marinescu} et al., Numer. Algorithms 88, No. 4, 1667--1702 (2021; Zbl 1515.65276) Full Text: DOI
Marin, Liviu MFS-fading regularization method for inverse BVPs in anisotropic heat conduction. (English) Zbl 1452.65212 Alves, Carlos (ed.) et al., Advances in Trefftz methods and their applications. Selected papers based on the presentations at the 9th conference on Trefftz methods and 5th conference on method of fundamental solutions, Lisbon, Portugal, July 29–31, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 23, 121-138 (2020). MSC: 65M32 65M30 65M70 65M80 65M12 60H50 35K05 35Q79 PDFBibTeX XMLCite \textit{L. Marin}, SEMA SIMAI Springer Ser. 23, 121--138 (2020; Zbl 1452.65212) Full Text: DOI
Marin, Liviu Landweber-Fridman algorithms for the Cauchy problem in steady-state anisotropic heat conduction. (English) Zbl 1482.74065 Math. Mech. Solids 25, No. 6, 1340-1363 (2020). MSC: 74F05 74G75 74E10 74S15 80A23 PDFBibTeX XMLCite \textit{L. Marin}, Math. Mech. Solids 25, No. 6, 1340--1363 (2020; Zbl 1482.74065) Full Text: DOI
Caillé, Laëtitia; Marin, Liviu; Delvare, Franck A meshless fading regularization algorithm for solving the Cauchy problem for the three-dimensional Helmholtz equation. (English) Zbl 07128069 Numer. Algorithms 82, No. 3, 869-894 (2019). MSC: 65-XX PDFBibTeX XMLCite \textit{L. Caillé} et al., Numer. Algorithms 82, No. 3, 869--894 (2019; Zbl 07128069) Full Text: DOI
Karageorghis, Andreas; Lesnic, D.; Marin, Liviu The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering. (English) Zbl 1403.76084 Eng. Anal. Bound. Elem. 92, 218-224 (2018). MSC: 76M15 65N80 65N21 65N38 76Q05 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Eng. Anal. Bound. Elem. 92, 218--224 (2018; Zbl 1403.76084) Full Text: DOI Link
Karageorghis, A.; Lesnic, D.; Marin, L. The plane waves method for numerical boundary identification. (English) Zbl 1488.65585 Adv. Appl. Math. Mech. 9, No. 6, 1312-1329 (2017). MSC: 65N21 65N38 65N80 65J20 35A15 35R30 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Adv. Appl. Math. Mech. 9, No. 6, 1312--1329 (2017; Zbl 1488.65585) Full Text: DOI
Marin, Liviu; Cipu, Corina Non-iterative regularized MFS solution of inverse boundary value problems in linear elasticity: a numerical study. (English) Zbl 1411.74063 Appl. Math. Comput. 293, 265-286 (2017). MSC: 74S30 74B05 74G75 PDFBibTeX XMLCite \textit{L. Marin} and \textit{C. Cipu}, Appl. Math. Comput. 293, 265--286 (2017; Zbl 1411.74063) Full Text: DOI
Karageorghis, Andreas; Lesnic, D.; Marin, Liviu The MFS for the identification of a sound-soft interior acoustic scatterer. (English) Zbl 1403.76152 Eng. Anal. Bound. Elem. 83, 107-112 (2017). MSC: 76M25 76Q05 65N21 65N80 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Eng. Anal. Bound. Elem. 83, 107--112 (2017; Zbl 1403.76152) Full Text: DOI Link
Marin, L.; Karageorghis, A.; Lesnic, D.; Johansson, B. T. The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data. (English) Zbl 1369.65135 Inverse Probl. Sci. Eng. 25, No. 5, 652-673 (2017). MSC: 65N21 65N22 74F05 65N35 65F05 35J05 PDFBibTeX XMLCite \textit{L. Marin} et al., Inverse Probl. Sci. Eng. 25, No. 5, 652--673 (2017; Zbl 1369.65135) Full Text: DOI Link
Karageorghis, A.; Bin-Mohsin, B.; Lesnic, D.; Marin, L. Simultaneous numerical determination of a corroded boundary and its admittance. (English) Zbl 1326.65150 Inverse Probl. Sci. Eng. 23, No. 7, 1120-1137 (2015). MSC: 65N21 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Inverse Probl. Sci. Eng. 23, No. 7, 1120--1137 (2015; Zbl 1326.65150) Full Text: DOI Link
Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel A numerical study of the SVD-MFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity. (English) Zbl 1308.74038 Numer. Methods Partial Differ. Equations 31, No. 1, 168-201 (2015). MSC: 74F05 74B05 65N21 PDFBibTeX XMLCite \textit{L. Marin} et al., Numer. Methods Partial Differ. Equations 31, No. 1, 168--201 (2015; Zbl 1308.74038) Full Text: DOI Link
Karageorghis, A.; Lesnic, D.; Marin, L. Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems. (English) Zbl 1308.65205 Inverse Probl. Sci. Eng. 22, No. 3, 395-418 (2014). MSC: 65N35 65N21 65N38 80A23 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Inverse Probl. Sci. Eng. 22, No. 3, 395--418 (2014; Zbl 1308.65205) Full Text: DOI Link
Heravi, Marjan Asadzadeh; Marin, Liviu; Sebu, Cristiana The method of fundamental solutions for complex electrical impedance tomography. (English) Zbl 1297.78009 Eng. Anal. Bound. Elem. 46, 126-139 (2014). MSC: 78A46 78M25 65N80 PDFBibTeX XMLCite \textit{M. A. Heravi} et al., Eng. Anal. Bound. Elem. 46, 126--139 (2014; Zbl 1297.78009) Full Text: DOI Link
Marin, Liviu; Karageorghis, Andreas The MFS-MPS for two-dimensional steady-state thermoelasticity problems. (English) Zbl 1287.74009 Eng. Anal. Bound. Elem. 37, No. 7-8, 1004-1020 (2013). MSC: 74F05 74S15 65N80 74B05 PDFBibTeX XMLCite \textit{L. Marin} and \textit{A. Karageorghis}, Eng. Anal. Bound. Elem. 37, No. 7--8, 1004--1020 (2013; Zbl 1287.74009) Full Text: DOI
Karageorghis, A.; Marin, L. Efficient MFS algorithms for problems in thermoelasticity. (English) Zbl 1266.74016 J. Sci. Comput. 56, No. 1, 96-121 (2013). MSC: 74F05 74S30 65T50 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{L. Marin}, J. Sci. Comput. 56, No. 1, 96--121 (2013; Zbl 1266.74016) Full Text: DOI
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu A moving pseudo-boundary method of fundamental solutions for void detection. (English) Zbl 1268.65161 Numer. Methods Partial Differ. Equations 29, No. 3, 935-960 (2013). MSC: 65N80 35J05 65N30 65N21 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Numer. Methods Partial Differ. Equations 29, No. 3, 935--960 (2013; Zbl 1268.65161) Full Text: DOI Link
Marin, Liviu Relaxation procedures for an iterative MFS algorithm for two-dimensional steady-state isotropic heat conduction Cauchy problems. (English) Zbl 1259.80028 Eng. Anal. Bound. Elem. 35, No. 3, 415-429 (2011). MSC: 80M25 80A20 65N80 PDFBibTeX XMLCite \textit{L. Marin}, Eng. Anal. Bound. Elem. 35, No. 3, 415--429 (2011; Zbl 1259.80028) Full Text: DOI
Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel The MFS for numerical boundary identification in two-dimensional harmonic problems. (English) Zbl 1259.65194 Eng. Anal. Bound. Elem. 35, No. 3, 342-354 (2011). MSC: 65N80 65N21 PDFBibTeX XMLCite \textit{L. Marin} et al., Eng. Anal. Bound. Elem. 35, No. 3, 342--354 (2011; Zbl 1259.65194) Full Text: DOI
Hematiyan, M. R.; Mohammadi, M.; Marin, L.; Khosravifard, A. Boundary element analysis of uncoupled transient thermo-elastic problems with time- and space-dependent heat sources. (English) Zbl 1270.74199 Appl. Math. Comput. 218, No. 5, 1862-1882 (2011). MSC: 74S15 74F05 PDFBibTeX XMLCite \textit{M. R. Hematiyan} et al., Appl. Math. Comput. 218, No. 5, 1862--1882 (2011; Zbl 1270.74199) Full Text: DOI
Khosravifard, A.; Hematiyan, M. R.; Marin, L. Nonlinear transient heat conduction analysis of functionally graded materials in the presence of heat sources using an improved meshless radial point interpolation method. (English) Zbl 1225.74033 Appl. Math. Modelling 35, No. 9, 4157-4174 (2011). MSC: 74F05 74S25 65M60 PDFBibTeX XMLCite \textit{A. Khosravifard} et al., Appl. Math. Modelling 35, No. 9, 4157--4174 (2011; Zbl 1225.74033) Full Text: DOI
Karageorghis, A.; Lesnic, D.; Marin, L. A survey of applications of the MFS to inverse problems. (English) Zbl 1220.65157 Inverse Probl. Sci. Eng. 19, No. 3, 309-336 (2011). MSC: 65N21 65M32 65N80 35R30 65-02 35J05 35Q30 35K05 65M80 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Inverse Probl. Sci. Eng. 19, No. 3, 309--336 (2011; Zbl 1220.65157) Full Text: DOI
Mohammadi, M.; Hematiyan, M. R.; Marin, L. Boundary element analysis of nonlinear transient heat conduction problems involving non-homogenous and nonlinear heat sources using time-dependent fundamental solutions. (English) Zbl 1267.80015 Eng. Anal. Bound. Elem. 34, No. 7, 655-665 (2010). MSC: 80M15 80A20 PDFBibTeX XMLCite \textit{M. Mohammadi} et al., Eng. Anal. Bound. Elem. 34, No. 7, 655--665 (2010; Zbl 1267.80015) Full Text: DOI
Marin, Liviu A meshless method for the stable solution of singular inverse problems for two-dimensional Helmholtz-type equations. (English) Zbl 1244.65164 Eng. Anal. Bound. Elem. 34, No. 3, 274-288 (2010). MSC: 65N21 65N80 PDFBibTeX XMLCite \textit{L. Marin}, Eng. Anal. Bound. Elem. 34, No. 3, 274--288 (2010; Zbl 1244.65164) Full Text: DOI
Marin, Liviu; Johansson, B. Tomas A relaxation method of an alternating iterative algorithm for the Cauchy problem in linear isotropic elasticity. (English) Zbl 1225.74116 Comput. Methods Appl. Mech. Eng. 199, No. 49-52, 3179-3196 (2010). MSC: 74S15 74B05 65M12 PDFBibTeX XMLCite \textit{L. Marin} and \textit{B. T. Johansson}, Comput. Methods Appl. Mech. Eng. 199, No. 49--52, 3179--3196 (2010; Zbl 1225.74116) Full Text: DOI
Marin, Liviu; Johansson, B. Tomas Relaxation procedures for an iterative MFS algorithm for the stable reconstruction of elastic fields from Cauchy data in two-dimensional isotropic linear elasticity. (English) Zbl 1203.74147 Int. J. Solids Struct. 47, No. 25-26, 3462-3479 (2010). MSC: 74S30 74B05 65N80 PDFBibTeX XMLCite \textit{L. Marin} and \textit{B. T. Johansson}, Int. J. Solids Struct. 47, No. 25--26, 3462--3479 (2010; Zbl 1203.74147) Full Text: DOI
Marin, Liviu Regularized method of fundamental solutions for boundary identification in two-dimensional isotropic linear elasticity. (English) Zbl 1203.74056 Int. J. Solids Struct. 47, No. 24, 3326-3340 (2010). MSC: 74G75 74B05 PDFBibTeX XMLCite \textit{L. Marin}, Int. J. Solids Struct. 47, No. 24, 3326--3340 (2010; Zbl 1203.74056) Full Text: DOI
Marin, Liviu; Munteanu, Ligia Boundary reconstruction in two-dimensional steady state anisotropic heat conduction using a regularized meshless method. (English) Zbl 1255.80016 Int. J. Heat Mass Transfer 53, No. 25-26, 5815-5826 (2010). MSC: 80A23 80M50 65F22 PDFBibTeX XMLCite \textit{L. Marin} and \textit{L. Munteanu}, Int. J. Heat Mass Transfer 53, No. 25--26, 5815--5826 (2010; Zbl 1255.80016) Full Text: DOI
Marin, Liviu Treatment of singularities in the method of fundamental solutions for two-dimensional Helmholtz-type equations. (English) Zbl 1193.35223 Appl. Math. Modelling 34, No. 6, 1615-1633 (2010). MSC: 35Q74 35J05 74G70 PDFBibTeX XMLCite \textit{L. Marin}, Appl. Math. Modelling 34, No. 6, 1615--1633 (2010; Zbl 1193.35223) Full Text: DOI
Marin, Liviu An alternating iterative MFS algorithm for the Cauchy problem for the modified Helmholtz equation. (English) Zbl 1398.65278 Comput. Mech. 45, No. 6, 665-677 (2010). MSC: 65N21 35J05 35R30 35R25 65M30 PDFBibTeX XMLCite \textit{L. Marin}, Comput. Mech. 45, No. 6, 665--677 (2010; Zbl 1398.65278) Full Text: DOI
Marin, Liviu The minimal error method for the Cauchy problem in linear elasticity. Numerical implementation for two-dimensional homogeneous isotropic linear elasticity. (English) Zbl 1236.74298 Int. J. Solids Struct. 46, No. 5, 957-974 (2009). MSC: 74S30 74B05 74G75 PDFBibTeX XMLCite \textit{L. Marin}, Int. J. Solids Struct. 46, No. 5, 957--974 (2009; Zbl 1236.74298) Full Text: DOI
Marin, Liviu Boundary element-minimal error method for the Cauchy problem associated with Helmholtz-type equations. (English) Zbl 1185.74097 Comput. Mech. 44, No. 2, 205-219 (2009). Reviewer: Daniel Lesnic (Leeds) MSC: 74S15 PDFBibTeX XMLCite \textit{L. Marin}, Comput. Mech. 44, No. 2, 205--219 (2009; Zbl 1185.74097) Full Text: DOI
Jin, Bangti; Marin, Liviu The plane wave method for inverse problems associated with Helmholtz-type equations. (English) Zbl 1244.65163 Eng. Anal. Bound. Elem. 32, No. 3, 223-240 (2008). MSC: 65N21 PDFBibTeX XMLCite \textit{B. Jin} and \textit{L. Marin}, Eng. Anal. Bound. Elem. 32, No. 3, 223--240 (2008; Zbl 1244.65163) Full Text: DOI
Comino, Lucia; Marin, Liviu; Gallego, Rafael An alternating iterative algorithm for the Cauchy problem in anisotropic elasticity. (English) Zbl 1195.74221 Eng. Anal. Bound. Elem. 31, No. 8, 667-682 (2007). MSC: 74S15 74B05 74E10 PDFBibTeX XMLCite \textit{L. Comino} et al., Eng. Anal. Bound. Elem. 31, No. 8, 667--682 (2007; Zbl 1195.74221) Full Text: DOI
Marin, L.; Elliott, L.; Heggs, P. J.; Ingham, D. B.; Lesnic, D.; Wen, X. Parameter identification in Helmholtz-type equations with a variable coefficient using a regularized DRBEM. (English) Zbl 1200.76129 Inverse Probl. Sci. Eng. 14, No. 8, 837-858 (2006). MSC: 76M15 76Q05 65N21 PDFBibTeX XMLCite \textit{L. Marin} et al., Inverse Probl. Sci. Eng. 14, No. 8, 837--858 (2006; Zbl 1200.76129) Full Text: DOI
Marin, L. Numerical boundary identification for Helmholtz-type equations. (English) Zbl 1168.80303 Comput. Mech. 39, No. 1, 25-40 (2006). MSC: 80A23 80M15 80A20 PDFBibTeX XMLCite \textit{L. Marin}, Comput. Mech. 39, No. 1, 25--40 (2006; Zbl 1168.80303) Full Text: DOI
Marin, Liviu Detection of cavities in Helmholtz-type equations using the boundary element method. (English) Zbl 1097.80004 Comput. Methods Appl. Mech. Eng. 194, No. 36-38, 4006-4023 (2005). Reviewer: Daniel Lesnic (Leeds) MSC: 80M15 PDFBibTeX XMLCite \textit{L. Marin}, Comput. Methods Appl. Mech. Eng. 194, No. 36--38, 4006--4023 (2005; Zbl 1097.80004) Full Text: DOI
Marin, L.; Lesnic, D. The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation. (English) Zbl 1088.35079 Math. Comput. Modelling 42, No. 3-4, 261-278 (2005). MSC: 35R25 35J40 65N21 35R30 31A30 35A08 PDFBibTeX XMLCite \textit{L. Marin} and \textit{D. Lesnic}, Math. Comput. Modelling 42, No. 3--4, 261--278 (2005; Zbl 1088.35079) Full Text: DOI
Marin, L. A meshless method for solving the Cauchy problem in three-dimensional elastostatics. (English) Zbl 1127.74014 Comput. Math. Appl. 50, No. 1-2, 73-92 (2005). MSC: 74G15 65F22 65N22 74B05 PDFBibTeX XMLCite \textit{L. Marin}, Comput. Math. Appl. 50, No. 1--2, 73--92 (2005; Zbl 1127.74014) Full Text: DOI
Marin, Liviu A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations. (English) Zbl 1070.65115 Appl. Math. Comput. 165, No. 2, 355-374 (2005). MSC: 65N21 65N35 65N12 35R30 35J05 PDFBibTeX XMLCite \textit{L. Marin}, Appl. Math. Comput. 165, No. 2, 355--374 (2005; Zbl 1070.65115) Full Text: DOI
Marin, L.; Elliott, L.; Ingham, D. B.; Lesnic, D. The boundary element method for the numerical recovery of a circular inhomogeneity in an elliptic equation. (English) Zbl 1074.65126 Eng. Anal. Bound. Elem. 28, No. 4, 413-419 (2004). MSC: 65N21 35J05 65N38 65N12 PDFBibTeX XMLCite \textit{L. Marin} et al., Eng. Anal. Bound. Elem. 28, No. 4, 413--419 (2004; Zbl 1074.65126) Full Text: DOI
Marin, L.; Elliott, L.; Ingham, D. B.; Lesnic, D. Parameter identification in isotropic linear elasticity using the boundary element method. (English) Zbl 1048.74014 Eng. Anal. Bound. Elem. 28, No. 3, 221-233 (2004). MSC: 74G75 74S15 74B05 PDFBibTeX XMLCite \textit{L. Marin} et al., Eng. Anal. Bound. Elem. 28, No. 3, 221--233 (2004; Zbl 1048.74014) Full Text: DOI
Marin, L.; Lesnic, D. BEM first-order regularisation method in linear elasticity for boundary identification. (English) Zbl 1041.74075 Comput. Methods Appl. Mech. Eng. 192, No. 16-18, 2059-2071 (2003). MSC: 74S15 74B05 74G75 PDFBibTeX XMLCite \textit{L. Marin} and \textit{D. Lesnic}, Comput. Methods Appl. Mech. Eng. 192, No. 16--18, 2059--2071 (2003; Zbl 1041.74075) Full Text: DOI
Marin, L.; Lesnic, D. Boundary element solution for the Cauchy problem in linear elasticity using singular value decomposition. (English) Zbl 1045.74050 Comput. Methods Appl. Mech. Eng. 191, No. 29-30, 3257-3270 (2002). MSC: 74S15 74B05 PDFBibTeX XMLCite \textit{L. Marin} and \textit{D. Lesnic}, Comput. Methods Appl. Mech. Eng. 191, No. 29--30, 3257--3270 (2002; Zbl 1045.74050) Full Text: DOI