Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation. (English) Zbl 07505620 J. Comput. Phys. 408, Article ID 109285, 21 p. (2020). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{S. Harizanov} et al., J. Comput. Phys. 408, Article ID 109285, 21 p. (2020; Zbl 07505620) Full Text: DOI arXiv
Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E. Numerical approximation of fractional powers of elliptic operators. (English) Zbl 1466.65184 IMA J. Numer. Anal. 40, No. 3, 1746-1771 (2020). MSC: 65N30 65N22 65F60 41A21 35J15 35R11 PDFBibTeX XMLCite \textit{B. Duan} et al., IMA J. Numer. Anal. 40, No. 3, 1746--1771 (2020; Zbl 1466.65184) Full Text: DOI arXiv
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar A survey on numerical methods for spectral space-fractional diffusion problems. (English) Zbl 1474.65438 Fract. Calc. Appl. Anal. 23, No. 6, 1605-1646 (2020). MSC: 65N30 35R11 65N06 65F50 26A33 PDFBibTeX XMLCite \textit{S. Harizanov} et al., Fract. Calc. Appl. Anal. 23, No. 6, 1605--1646 (2020; Zbl 1474.65438) Full Text: DOI arXiv
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho Numerical solution of fractional diffusion-reaction problems based on BURA. (English) Zbl 1452.65060 Comput. Math. Appl. 80, No. 2, 316-331 (2020). MSC: 65F10 65F15 65D32 35R11 PDFBibTeX XMLCite \textit{S. Harizanov} et al., Comput. Math. Appl. 80, No. 2, 316--331 (2020; Zbl 1452.65060) Full Text: DOI
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. (English) Zbl 1440.65138 Comput. Methods Appl. Mech. Eng. 346, 332-358 (2019). MSC: 65M60 35R11 65M15 PDFBibTeX XMLCite \textit{B. Jin} et al., Comput. Methods Appl. Mech. Eng. 346, 332--358 (2019; Zbl 1440.65138) Full Text: DOI arXiv
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\). (English) Zbl 1429.65064 Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 165-185 (2019). MSC: 65F10 65F15 65D32 35R11 65N30 65N06 65K10 41A20 15A18 35J05 PDFBibTeX XMLCite \textit{S. Harizanov} et al., Lect. Notes Comput. Sci. Eng. 128, 165--185 (2019; Zbl 1429.65064) Full Text: DOI arXiv
Moon, Minam; Lazarov, Raytcho; Jun, Hyung Kyu Multiscale HDG model reduction method for flows in heterogeneous porous media. (English) Zbl 1432.76165 Appl. Numer. Math. 140, 115-133 (2019). MSC: 76M10 65M60 65M15 76S05 PDFBibTeX XMLCite \textit{M. Moon} et al., Appl. Numer. Math. 140, 115--133 (2019; Zbl 1432.76165) Full Text: DOI
Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho The Best Uniform Rational Approximation: Applications to Solving Equations Involving Fractional powers of Elliptic Operators. arXiv:1910.13865 Preprint, arXiv:1910.13865 [math.NA] (2019). BibTeX Cite \textit{S. Harizanov} et al., ``The Best Uniform Rational Approximation: Applications to Solving Equations Involving Fractional powers of Elliptic Operators'', Preprint, arXiv:1910.13865 [math.NA] (2019) Full Text: arXiv OA License
Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y. Optimal solvers for linear systems with fractional powers of sparse SPD matrices. (English) Zbl 1513.65132 Numer. Linear Algebra Appl. 25, No. 5, e2167, 24 p. (2018). MSC: 65F99 35R11 PDFBibTeX XMLCite \textit{S. Harizanov} et al., Numer. Linear Algebra Appl. 25, No. 5, e2167, 24 p. (2018; Zbl 1513.65132) Full Text: DOI arXiv
Lazarov, Raytcho; Takhirov, Aziz A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media. (English) Zbl 1435.65207 J. Comput. Appl. Math. 340, 537-545 (2018). MSC: 65N30 35Q30 76M10 76S05 PDFBibTeX XMLCite \textit{R. Lazarov} and \textit{A. Takhirov}, J. Comput. Appl. Math. 340, 537--545 (2018; Zbl 1435.65207) Full Text: DOI
Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi Space-time Petrov-Galerkin FEM for fractional diffusion problems. (English) Zbl 1382.65311 Comput. Methods Appl. Math. 18, No. 1, 1-20 (2018). MSC: 65M60 35K05 65M15 35R11 PDFBibTeX XMLCite \textit{B. Duan} et al., Comput. Methods Appl. Math. 18, No. 1, 1--20 (2018; Zbl 1382.65311) Full Text: DOI arXiv
Lazarov, Raytcho; Vabishchevich, Petr A numerical study of the homogeneous elliptic equation with fractional boundary conditions. (English) Zbl 1364.65253 Fract. Calc. Appl. Anal. 20, No. 2, 337-351 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65M12 35R11 PDFBibTeX XMLCite \textit{R. Lazarov} and \textit{P. Vabishchevich}, Fract. Calc. Appl. Anal. 20, No. 2, 337--351 (2017; Zbl 1364.65253) Full Text: DOI arXiv
Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi On nonnegativity preservation in finite element methods for subdiffusion equations. (English) Zbl 1364.65197 Math. Comput. 86, No. 307, 2239-2260 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 35K05 35R11 65M20 65M08 35B50 PDFBibTeX XMLCite \textit{B. Jin} et al., Math. Comput. 86, No. 307, 2239--2260 (2017; Zbl 1364.65197) Full Text: DOI arXiv
Kanschat, Guido; Lazarov, Raytcho; Mao, Youli Geometric multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: a numerical study. (English) Zbl 1381.76179 J. Comput. Appl. Math. 310, 174-185 (2017). MSC: 76M10 65N30 65N55 76S05 PDFBibTeX XMLCite \textit{G. Kanschat} et al., J. Comput. Appl. Math. 310, 174--185 (2017; Zbl 1381.76179) Full Text: DOI arXiv
Srinivasan, Shriram; Lazarov, Raytcho; Minev, Peter Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients. (English) Zbl 1361.65060 Comput. Math. Appl. 72, No. 6, 1641-1654 (2016). MSC: 65M08 65M60 65M55 35K10 PDFBibTeX XMLCite \textit{S. Srinivasan} et al., Comput. Math. Appl. 72, No. 6, 1641--1654 (2016; Zbl 1361.65060) Full Text: DOI
Kraus, Johannes; Lazarov, Raytcho; Lymbery, Maria; Margenov, Svetozar; Zikatanov, Ludmil Preconditioning heterogeneous \(\boldsymbol{H}(\mathrm{div})\) problems by additive Schur complement approximation and applications. (English) Zbl 1380.65376 SIAM J. Sci. Comput. 38, No. 2, A875-A898 (2016). MSC: 65N30 65F08 65N22 76M10 76S05 65F10 65N20 PDFBibTeX XMLCite \textit{J. Kraus} et al., SIAM J. Sci. Comput. 38, No. 2, A875--A898 (2016; Zbl 1380.65376) Full Text: DOI
Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. (English) Zbl 1333.65111 Fract. Calc. Appl. Anal. 19, No. 1, 69-93 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 35R11 65M15 PDFBibTeX XMLCite \textit{B. Jin} et al., Fract. Calc. Appl. Anal. 19, No. 1, 69--93 (2016; Zbl 1333.65111) Full Text: DOI arXiv
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi A Petrov-Galerkin finite element method for fractional convection-diffusion equations. (English) Zbl 1335.65092 SIAM J. Numer. Anal. 54, No. 1, 481-503 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 35J25 35R11 PDFBibTeX XMLCite \textit{B. Jin} et al., SIAM J. Numer. Anal. 54, No. 1, 481--503 (2016; Zbl 1335.65092) Full Text: DOI arXiv
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. (English) Zbl 1336.65150 IMA J. Numer. Anal. 36, No. 1, 197-221 (2016). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M12 65M60 35K20 35R11 PDFBibTeX XMLCite \textit{B. Jin} et al., IMA J. Numer. Anal. 36, No. 1, 197--221 (2016; Zbl 1336.65150) Full Text: DOI arXiv
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. (English) Zbl 1381.65082 SIAM J. Sci. Comput. 38, No. 1, A146-A170 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 35K05 35R11 35L05 65M15 PDFBibTeX XMLCite \textit{B. Jin} et al., SIAM J. Sci. Comput. 38, No. 1, A146--A170 (2016; Zbl 1381.65082) Full Text: DOI arXiv Link
Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi A simple finite element method for boundary value problems with a Riemann-Liouville derivative. (English) Zbl 1328.65172 J. Comput. Appl. Math. 293, 94-111 (2016). MSC: 65L60 34A08 34B15 34A45 PDFBibTeX XMLCite \textit{B. Jin} et al., J. Comput. Appl. Math. 293, 94--111 (2016; Zbl 1328.65172) Full Text: DOI arXiv
Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. (English) Zbl 1425.65197 Comput. Methods Appl. Mech. Eng. 292, 243-256 (2015). MSC: 65N35 35J25 65N30 PDFBibTeX XMLCite \textit{Y. Efendiev} et al., Comput. Methods Appl. Mech. Eng. 292, 243--256 (2015; Zbl 1425.65197) Full Text: DOI
Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi The Galerkin finite element method for a multi-term time-fractional diffusion equation. (English) Zbl 1352.65350 J. Comput. Phys. 281, 825-843 (2015). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{B. Jin} et al., J. Comput. Phys. 281, 825--843 (2015; Zbl 1352.65350) Full Text: DOI arXiv
Efendiev, Yalchin; Lazarov, Raytcho; Shi, Ke A multiscale HDG method for second order elliptic equations. I: Polynomial and homogenization-based multiscale spaces. (English) Zbl 1322.65105 SIAM J. Numer. Anal. 53, No. 1, 342-369 (2015). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{Y. Efendiev} et al., SIAM J. Numer. Anal. 53, No. 1, 342--369 (2015; Zbl 1322.65105) Full Text: DOI arXiv
Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. (English) Zbl 1325.76113 Numer. Math. 131, No. 1, 1-31 (2015). MSC: 76M10 65M60 35Q35 65M15 76A05 PDFBibTeX XMLCite \textit{E. Bazhlekova} et al., Numer. Math. 131, No. 1, 1--31 (2015; Zbl 1325.76113) Full Text: DOI arXiv
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William Variational formulation of problems involving fractional order differential operators. (English) Zbl 1321.65127 Math. Comput. 84, No. 296, 2665-2700 (2015). MSC: 65L60 34A08 34B15 65L10 65L20 65L70 34L16 PDFBibTeX XMLCite \textit{B. Jin} et al., Math. Comput. 84, No. 296, 2665--2700 (2015; Zbl 1321.65127) Full Text: DOI arXiv
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. (English) Zbl 1321.65142 IMA J. Numer. Anal. 35, No. 2, 561-582 (2015). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65M15 65M20 65M60 35R11 35K20 PDFBibTeX XMLCite \textit{B. Jin} et al., IMA J. Numer. Anal. 35, No. 2, 561--582 (2015; Zbl 1321.65142) Full Text: DOI arXiv
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Weißer, Steffen Mixed FEM for second order elliptic problems on polygonal meshes with BEM-based spaces. (English) Zbl 07238847 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 9th international conference, LSSC 2013, Sozopol, Bulgaria, June 3–7, 2013. Revised selected papers. Berlin: Springer. Lect. Notes Comput. Sci. 8353, 331-338 (2014). MSC: 65-XX PDFBibTeX XMLCite \textit{Y. Efendiev} et al., Lect. Notes Comput. Sci. 8353, 331--338 (2014; Zbl 07238847) Full Text: DOI
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi Error analysis of a finite element method for the space-fractional parabolic equation. (English) Zbl 1310.65126 SIAM J. Numer. Anal. 52, No. 5, 2272-2294 (2014). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 65M20 35K20 35R11 65M12 65M15 PDFBibTeX XMLCite \textit{B. Jin} et al., SIAM J. Numer. Anal. 52, No. 5, 2272--2294 (2014; Zbl 1310.65126) Full Text: DOI arXiv
Kraus, Johannes; Lazarov, Raytcho; Lymbery, Maria; Margenov, Svetozar; Zikatanov, Ludmil Preconditioning of weighted H(div)-norm and applications to numerical simulation of highly heterogeneous media. arXiv:1406.4455 Preprint, arXiv:1406.4455 [math.NA] (2014). MSC: 65F10 65N20 65N30 BibTeX Cite \textit{J. Kraus} et al., ``Preconditioning of weighted H(div)-norm and applications to numerical simulation of highly heterogeneous media'', Preprint, arXiv:1406.4455 [math.NA] (2014) Full Text: arXiv OA License
Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M. Generalized multiscale finite element method. Symmetric interior penalty coupling. (English) Zbl 1349.76199 J. Comput. Phys. 255, 1-15 (2013). MSC: 76M10 65N30 76S05 PDFBibTeX XMLCite \textit{Y. Efendiev} et al., J. Comput. Phys. 255, 1--15 (2013; Zbl 1349.76199) Full Text: DOI arXiv
Chatzipantelidis, Panagiotis; Lazarov, Raytcho; Thomée, Vidar Some error estimates for the finite volume element method for a parabolic problem. (English) Zbl 1285.65059 Comput. Methods Appl. Math. 13, No. 3, 251-279 (2013). MSC: 65M15 65M60 65M08 65M20 34K05 PDFBibTeX XMLCite \textit{P. Chatzipantelidis} et al., Comput. Methods Appl. Math. 13, No. 3, 251--279 (2013; Zbl 1285.65059) Full Text: DOI arXiv Link
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi Galerkin FEM for fractional order parabolic equations with initial data in \(H ^{ - s }\), \(0 \leq s \leq 1\). (English) Zbl 1352.65351 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 5th international conference, NAA 2012, Lozenetz, Bulgaria, June 15–20, 2012. Revised selected papers. Berlin: Springer (ISBN 978-3-642-41514-2/pbk). Lecture Notes in Computer Science 8236, 24-37 (2013). MSC: 65M60 26A33 35R11 65M15 PDFBibTeX XMLCite \textit{B. Jin} et al., Lect. Notes Comput. Sci. 8236, 24--37 (2013; Zbl 1352.65351) Full Text: DOI arXiv
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi Error estimates for a semidiscrete finite element method for fractional order parabolic equations. (English) Zbl 1268.65126 SIAM J. Numer. Anal. 51, No. 1, 445-466 (2013). Reviewer: Abdallah Bradji (Annaba) MSC: 65M15 65M60 65M20 35K05 35R11 PDFBibTeX XMLCite \textit{B. Jin} et al., SIAM J. Numer. Anal. 51, No. 1, 445--466 (2013; Zbl 1268.65126) Full Text: DOI arXiv
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William A Finite Element Method for the Fractional Sturm-Liouville Problem. arXiv:1307.5114 Preprint, arXiv:1307.5114 [math.NA] (2013). BibTeX Cite \textit{B. Jin} et al., ``A Finite Element Method for the Fractional Sturm-Liouville Problem'', Preprint, arXiv:1307.5114 [math.NA] (2013) Full Text: arXiv OA License
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Margenov, Svetozar; Ren, Jun Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media. (English) Zbl 1284.65153 Comput. Methods Appl. Math. 12, No. 4, 415-436 (2012). MSC: 65N20 65M25 PDFBibTeX XMLCite \textit{Y. Efendiev} et al., Comput. Methods Appl. Math. 12, No. 4, 415--436 (2012; Zbl 1284.65153) Full Text: DOI
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. (English) Zbl 1272.65098 ESAIM, Math. Model. Numer. Anal. 46, No. 5, 1175-1199 (2012). Reviewer: Petr Tichý (Prague) MSC: 65N55 65F08 65N20 65N22 65F10 65N30 35Q30 PDFBibTeX XMLCite \textit{Y. Efendiev} et al., ESAIM, Math. Model. Numer. Anal. 46, No. 5, 1175--1199 (2012; Zbl 1272.65098) Full Text: DOI arXiv
Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D. Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. (English) Zbl 1274.76248 Numer. Math., Theory Methods Appl. 5, No. 3, 359-383 (2012). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{Y. Efendiev} et al., Numer. Math., Theory Methods Appl. 5, No. 3, 359--383 (2012; Zbl 1274.76248) Full Text: DOI
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg Robust solvers for symmetric positive definite operators and weighted Poincaré inequalities. (English) Zbl 1310.65140 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 8th international conference, LSSC 2011, Sozopol, Bulgaria, June 6–10, 2011. Revised selected papers. Berlin: Springer (ISBN 978-3-642-29842-4/pbk). Lecture Notes in Computer Science 7116, 43-51 (2012). MSC: 65N22 65N55 PDFBibTeX XMLCite \textit{Y. Efendiev} et al., Lect. Notes Comput. Sci. 7116, 43--51 (2012; Zbl 1310.65140) Full Text: DOI
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. Some error estimates for the lumped mass finite element method for a parabolic problem. (English) Zbl 1251.65129 Math. Comput. 81, No. 277, 1-20 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65M15 65M60 65M20 35K05 65M06 PDFBibTeX XMLCite \textit{P. Chatzipantelidis} et al., Math. Comput. 81, No. 277, 1--20 (2012; Zbl 1251.65129) Full Text: DOI
Lazarov, Raytcho D.; Zikatanov, Ludmil T. An exponential fitting scheme for general convection-diffusion equations on tetrahedral meshes. arXiv:1211.0869 Preprint, arXiv:1211.0869 [math.NA] (2012). MSC: 65N30 65N15 BibTeX Cite \textit{R. D. Lazarov} and \textit{L. T. Zikatanov}, ``An exponential fitting scheme for general convection-diffusion equations on tetrahedral meshes'', Preprint, arXiv:1211.0869 [math.NA] (2012) Full Text: arXiv OA License
Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg Variational multiscale finite element method for flows in highly porous media. (English) Zbl 1244.76024 Multiscale Model. Simul. 9, No. 4, 1350-1372 (2011). MSC: 76M10 76S05 65N30 35Q35 PDFBibTeX XMLCite \textit{O. P. Iliev} et al., Multiscale Model. Simul. 9, No. 4, 1350--1372 (2011; Zbl 1244.76024) Full Text: DOI
Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R.; Cole, M.; Jones, G. Least squares approach for initial data recovery in dynamic data-driven applications simulations. (English) Zbl 1237.65107 Comput. Vis. Sci. 13, No. 8, 365-375 (2010). MSC: 65M32 PDFBibTeX XMLCite \textit{C. Douglas} et al., Comput. Vis. Sci. 13, No. 8, 365--375 (2010; Zbl 1237.65107) Full Text: DOI
Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg Discontinuous Galerkin subgrid finite element method for heterogeneous Brinkman’s equations. (English) Zbl 1280.76061 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 7th international conference, LSSC 2009, Sozopol, Bulgaria, June 4–8, 2009. Revised papers. Berlin: Springer (ISBN 978-3-642-12534-8/pbk). Lecture Notes in Computer Science 5910, 14-25 (2010). MSC: 76S05 76M10 65M60 PDFBibTeX XMLCite \textit{O. P. Iliev} et al., Lect. Notes Comput. Sci. 5910, 14--25 (2010; Zbl 1280.76061) Full Text: DOI
Iliev, Oleg; Lazarov, Raytcho; Willems, Joerg Fast numerical upscaling of heat equation for fibrous materials. (English) Zbl 1419.74099 Comput. Vis. Sci. 13, No. 6, 275-285 (2010). MSC: 74F05 74E30 80A20 PDFBibTeX XMLCite \textit{O. Iliev} et al., Comput. Vis. Sci. 13, No. 6, 275--285 (2010; Zbl 1419.74099) Full Text: DOI
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. (English) Zbl 1205.65341 SIAM J. Numer. Anal. 47, No. 5, 3269-3292 (2009). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{R. K. Sinha} et al., SIAM J. Numer. Anal. 47, No. 5, 3269--3292 (2009; Zbl 1205.65341) Full Text: DOI
Ewing, R.; Iliev, O.; Lazarov, R.; Rybak, I.; Willems, Joerg A simplified method for upscaling composite materials with high contrast of the conductivity. (English) Zbl 1202.80025 SIAM J. Sci. Comput. 31, No. 4, 2568-2586 (2009). Reviewer: Alain Brillard (Riedisheim) MSC: 80M40 80M35 35J25 35R05 PDFBibTeX XMLCite \textit{R. Ewing} et al., SIAM J. Sci. Comput. 31, No. 4, 2568--2586 (2009; Zbl 1202.80025) Full Text: DOI Link
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. (English) Zbl 1205.65312 SIAM J. Numer. Anal. 47, No. 2, 1319-1365 (2009). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{B. Cockburn} et al., SIAM J. Numer. Anal. 47, No. 2, 1319--1365 (2009; Zbl 1205.65312) Full Text: DOI Link
Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K. Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. (English) Zbl 1167.65451 Numer. Methods Partial Differ. Equations 25, No. 4, 952-971 (2009). MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{R. Lazarov} et al., Numer. Methods Partial Differ. Equations 25, No. 4, 952--971 (2009; Zbl 1167.65451) Full Text: DOI
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. Parabolic finite volume element equations in nonconvex polygonal domains. (English) Zbl 1168.65051 Numer. Methods Partial Differ. Equations 25, No. 3, 507-525 (2009). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M60 65M20 65M15 65M12 35K05 65M50 PDFBibTeX XMLCite \textit{P. Chatzipantelidis} et al., Numer. Methods Partial Differ. Equations 25, No. 3, 507--525 (2009; Zbl 1168.65051) Full Text: DOI
Dobrev, Veselin A.; Lazarov, Raytcho D.; Zikatanov, Ludmil T. Predictioning of symmetric interior penalty discontinuous Galerkin FEM for elliptic problems. (English) Zbl 1267.65194 Langer, Ulrich (ed.) et al., Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Berlin: Springer (ISBN 978-3-540-75198-4/pbk). Lecture Notes in Computational Science and Engineering 60, 33-44 (2008). MSC: 65N55 PDFBibTeX XMLCite \textit{V. A. Dobrev} et al., Lect. Notes Comput. Sci. Eng. 60, 33--44 (2008; Zbl 1267.65194)
Kachiashvili, K.; Gordeziani, D.; Lazarov, R.; Melikdzhanian, D. Modeling and simulation of pollutants transport in rivers. (English) Zbl 1126.92053 Appl. Math. Modelling 31, No. 7, 1371-1396 (2007). MSC: 92D40 92-04 65C20 35K57 93A30 PDFBibTeX XMLCite \textit{K. Kachiashvili} et al., Appl. Math. Modelling 31, No. 7, 1371--1396 (2007; Zbl 1126.92053) Full Text: DOI
Lazarov, R. D.; Margenov, S. D. CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems. (English) Zbl 1145.65098 J. Complexity 23, No. 4-6, 498-515 (2007). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N30 35J25 65F10 65F35 65N55 65Y20 PDFBibTeX XMLCite \textit{R. D. Lazarov} and \textit{S. D. Margenov}, J. Complexity 23, No. 4--6, 498--515 (2007; Zbl 1145.65098) Full Text: DOI
Lazarov, Raytcho D.; Lu, Shuai; Pereverzev, Sergei V. On the balancing principle for some problems of numerical analysis. (English) Zbl 1129.65041 Numer. Math. 106, No. 4, 659-689 (2007). Reviewer: Vladimir Gorbunov (Ul’yanovsk) MSC: 65J10 65J20 65N30 65N15 47A52 35J25 35K05 35R25 65M30 65M60 65M12 65N12 PDFBibTeX XMLCite \textit{R. D. Lazarov} et al., Numer. Math. 106, No. 4, 659--689 (2007; Zbl 1129.65041) Full Text: DOI
Ewing, Richard E.; Iliev, Oleg P.; Lazarov, Raytcho D.; Naumovich, Anna On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems. (English) Zbl 1142.74386 Numer. Methods Partial Differ. Equations 23, No. 3, 652-671 (2007). MSC: 74S10 65M06 74F10 76M25 76S05 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Numer. Methods Partial Differ. Equations 23, No. 3, 652--671 (2007; Zbl 1142.74386) Full Text: DOI
Iliev, O.; Lazarov, R.; Willems, J. Numerical study of two-grid preconditioners for 1-D elliptic problems with highly oscillating discontinuous coefficients. (English) Zbl 1115.65083 Comput. Methods Appl. Math. 7, No. 1, 48-67 (2007). MSC: 65L10 34B05 65L12 65F10 65F35 PDFBibTeX XMLCite \textit{O. Iliev} et al., Comput. Methods Appl. Math. 7, No. 1, 48--67 (2007; Zbl 1115.65083) Full Text: DOI
Lazarov, Raytcho; Ye, Xiu Stabilized discontinuous finite element approximations for Stokes equations. (English) Zbl 1101.76035 J. Comput. Appl. Math. 198, No. 1, 236-252 (2007). MSC: 76M10 76D07 74S05 74B05 65N30 65N15 PDFBibTeX XMLCite \textit{R. Lazarov} and \textit{X. Ye}, J. Comput. Appl. Math. 198, No. 1, 236--252 (2007; Zbl 1101.76035) Full Text: DOI
Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. (English) Zbl 1224.65263 Numer. Linear Algebra Appl. 13, No. 9, 753-770 (2006). Reviewer: Vít Dolejší (Praha) MSC: 65N30 65N22 65F10 65F08 35J25 PDFBibTeX XMLCite \textit{V. A. Dobrev} et al., Numer. Linear Algebra Appl. 13, No. 9, 753--770 (2006; Zbl 1224.65263) Full Text: DOI
Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R. Dynamic data driven simulations in stochastic environments. (English) Zbl 1122.65006 Computing 77, No. 4, 321-333 (2006). MSC: 65C05 35K15 65C40 76S05 76M35 60J22 PDFBibTeX XMLCite \textit{C. Douglas} et al., Computing 77, No. 4, 321--333 (2006; Zbl 1122.65006) Full Text: DOI
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.; Wahlbin, L. B. Parabolic finite element equations in nonconvex polygonal domains. (English) Zbl 1108.65097 BIT 46, Suppl., S113-S143 (2006). Reviewer: H. P. Dikshit (New Delhi) MSC: 65M60 65M20 65M12 65M15 35K05 PDFBibTeX XMLCite \textit{P. Chatzipantelidis} et al., BIT 46, S113--S143 (2006; Zbl 1108.65097) Full Text: DOI
Andreev, Andrey; Lazarov, Raytcho; Racheva, Milena Postprocessing and improved accuracy of the lowest-order mixed finite element approximation for biharmonic eigenvalues. (English) Zbl 1142.65438 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 5th international conference, LSSC 2005, Sozopol, Bulgaria, June 6–10, 2005. Revised papers. Berlin: Springer (ISBN 3-540-31994-8/pbk). Lecture Notes in Computer Science 3743, 613-620 (2006). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{A. Andreev} et al., Lect. Notes Comput. Sci. 3743, 613--620 (2006; Zbl 1142.65438) Full Text: DOI
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. (English) Zbl 1106.65121 SIAM J. Numer. Anal. 43, No. 6, 2320-2343 (2006). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{R. K. Sinha} et al., SIAM J. Numer. Anal. 43, No. 6, 2320--2343 (2006; Zbl 1106.65121) Full Text: DOI Link
Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D. A finite volume element method for a non-linear elliptic problem. (English) Zbl 1164.65494 Numer. Linear Algebra Appl. 12, No. 5-6, 515-546 (2005). Reviewer: Jan Chleboun (Praha) MSC: 65N30 65N15 65N12 35J65 PDFBibTeX XMLCite \textit{P. Chatzipantelidis} et al., Numer. Linear Algebra Appl. 12, No. 5--6, 515--546 (2005; Zbl 1164.65494) Full Text: DOI
Douglas, Craig C.; Efendiev, Yalchin; Ewing, Richard; Ginting, Victor; Lazarov, Raytcho; Cole, Martin J.; Jones, Greg; Johnson, Chris R. Multiscale interpolation, backward in time error analysis for data-driven contaminant simulation. (English) Zbl 1129.68559 Sunderam, Vaidy S. (ed.) et al., Computational science – ICCS 2005. 5th international conference, Atlanta, GA, USA, May 22–25, 2005. Proceedings, Part II. Berlin: Springer (ISBN 3-540-26043-9/pbk). Lecture Notes in Computer Science 3515, 640-647 (2005). MSC: 68U20 PDFBibTeX XMLCite \textit{C. C. Douglas} et al., Lect. Notes Comput. Sci. 3515, 640--647 (2005; Zbl 1129.68559) Full Text: DOI
Carstensen, C.; Lazarov, R.; Tomov, S. Explicit and averaging a posteriori error estimates for adaptive finite volume methods. (English) Zbl 1084.65112 SIAM J. Numer. Anal. 42, No. 6, 2496-2521 (2005). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N30 65N12 35J25 65N50 76S05 76M12 PDFBibTeX XMLCite \textit{C. Carstensen} et al., SIAM J. Numer. Anal. 42, No. 6, 2496--2521 (2005; Zbl 1084.65112) Full Text: DOI
Andreev, A. B.; Lazarov, R. D.; Racheva, M. R. Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems. (English) Zbl 1075.65136 J. Comput. Appl. Math. 182, No. 2, 333-349 (2005). Reviewer: Karel Najzar (Praha) MSC: 65N25 65N12 65N30 35P15 PDFBibTeX XMLCite \textit{A. B. Andreev} et al., J. Comput. Appl. Math. 182, No. 2, 333--349 (2005; Zbl 1075.65136) Full Text: DOI
Chatzipantelidis, P.; Lazarov, R. D. Error estimates for a finite volume element method for elliptic PDEs in nonconvex polygonal domains. (English) Zbl 1079.65109 SIAM J. Numer. Anal. 42, No. 5, 1932-1958 (2005). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N15 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{P. Chatzipantelidis} and \textit{R. D. Lazarov}, SIAM J. Numer. Anal. 42, No. 5, 1932--1958 (2005; Zbl 1079.65109) Full Text: DOI
Ginting, V.; Ewing, R.; Efendiev, Y.; Lazarov, R. Upscaled modeling in multiphase flow applications. (English) Zbl 1213.76196 Comput. Appl. Math. 23, No. 2-3, 213-233 (2004). MSC: 76S05 76M25 76T99 PDFBibTeX XMLCite \textit{V. Ginting} et al., Comput. Appl. Math. 23, No. 2--3, 213--233 (2004; Zbl 1213.76196) Full Text: Link
Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. (English) Zbl 1067.65092 Numer. Methods Partial Differ. Equations 20, No. 5, 650-674 (2004). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M15 65M06 65M20 35K15 65M60 PDFBibTeX XMLCite \textit{P. Chatzipantelidis} et al., Numer. Methods Partial Differ. Equations 20, No. 5, 650--674 (2004; Zbl 1067.65092) Full Text: DOI
Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S. Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. (English) Zbl 1095.65103 Numer. Math. 96, No. 2, 295-315 (2003). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N30 35J25 65F10 65Y05 65N15 65F35 PDFBibTeX XMLCite \textit{R. D. Lazarov} et al., Numer. Math. 96, No. 2, 295--315 (2003; Zbl 1095.65103) Full Text: DOI
Lazarov, Raytcho D.; Margenov, Svetozar D. On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems. (English) Zbl 1032.65045 Dimov, Ivan (ed.) et al., Numerical methods and applications. 5th international conference, NMA 2002, Borovets, Bulgaria, August 20-24, 2002. Revised papers. Berlin: Springer. Lect. Notes Comput. Sci. 2542, 192-201 (2003). MSC: 65F35 65F10 65N30 35J25 65Y05 PDFBibTeX XMLCite \textit{R. D. Lazarov} and \textit{S. D. Margenov}, Lect. Notes Comput. Sci. 2542, 192--201 (2003; Zbl 1032.65045) Full Text: Link
Chernogorova, Tatiana; Ewing, Richard; Iliev, Oleg; Lazarov, Raytcho On finite volume discretization of elliptic interface problems. (English) Zbl 1118.65386 Herbin, Raphaéle (ed.) et al., Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. London: Hermes Penton Science (ISBN 1-9039-9634-1/pbk). 301-308 (2002). MSC: 65N30 35J25 35R05 65N15 PDFBibTeX XMLCite \textit{T. Chernogorova} et al., in: Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24--28, 2002. London: Hermes Penton Science. 301--308 (2002; Zbl 1118.65386)
Chatzipantelidis, P.; Lazarov, R. D. The finite volume element method in nonconvex polygonal domains. (English) Zbl 1118.65385 Herbin, Raphaéle (ed.) et al., Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. London: Hermes Penton Science (ISBN 1-9039-9634-1/pbk). 171-178 (2002). MSC: 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{P. Chatzipantelidis} and \textit{R. D. Lazarov}, in: Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24--28, 2002. London: Hermes Penton Science. 171--178 (2002; Zbl 1118.65385)
Lazarov, Raytcho D.; Vassilevski, Panayot S. Numerical methods for convection-diffusion problems on general grids. (English) Zbl 1029.65129 Bojanov, B. D. (ed.), Approximation theory. A volume dedicated to Blagovest Sendov. Sofia: DARBA. 258-283 (2002). MSC: 65N30 65-02 65F10 65F35 35J25 65N50 PDFBibTeX XMLCite \textit{R. D. Lazarov} and \textit{P. S. Vassilevski}, in: Approximation theory. A volume dedicated to Blagovest Sendov. Sofia: DARBA. 258--283 (2002; Zbl 1029.65129)
Lazarov, Raytcho; Tomov, Stanimire A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations. (English) Zbl 1014.65116 Comput. Geosci. 6, No. 3-4, 483-503 (2002). MSC: 65N15 76M12 76S05 35J25 65M30 65N50 PDFBibTeX XMLCite \textit{R. Lazarov} and \textit{S. Tomov}, Comput. Geosci. 6, No. 3--4, 483--503 (2002; Zbl 1014.65116) Full Text: DOI
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. (English) Zbl 1051.65107 Numer. Linear Algebra Appl. 8, No. 1, 13-31 (2001). MSC: 65N30 65F10 65F35 65N55 35J25 65N12 PDFBibTeX XMLCite \textit{R. D. Lazarov} et al., Numer. Linear Algebra Appl. 8, No. 1, 13--31 (2001; Zbl 1051.65107) Full Text: DOI
Lazarov, R. D.; Tomov, S. Z. Adaptive finite volume element method for convection-diffusion-reaction problems in 3 D. (English) Zbl 1047.76061 Minev, Peter (ed.) et al., Scientific computing and applications. Proceedings of the 2nd international workshop, IWSCA, Kananaskis, Canada, May–June 2000. Huntington, NY: Nova Science Publishers (ISBN 1-59033-027-7/hbk). Adv. Comput., Theory Pract. 7, 91-106 (2001). MSC: 76M12 76M10 76V05 76R50 65N15 PDFBibTeX XMLCite \textit{R. D. Lazarov} and \textit{S. Z. Tomov}, Adv. Comput., Theory Pract. 7, 91--106 (2001; Zbl 1047.76061)
Ewing, R.; Iliev, O.; Lazarov, R. A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients. (English) Zbl 0999.65112 SIAM J. Sci. Comput. 23, No. 4, 1335-1351 (2001). MSC: 65N06 65N12 35R05 35J25 PDFBibTeX XMLCite \textit{R. Ewing} et al., SIAM J. Sci. Comput. 23, No. 4, 1335--1351 (2001; Zbl 0999.65112) Full Text: DOI
Lazarov, R.; Tomov, S.; Vassilevski, P. Interior penalty discontinuous approximations of elliptic problems. (English) Zbl 0995.65114 Comput. Methods Appl. Math. 1, No. 4, 367-382 (2001). Reviewer: Prabhat Kumar Mahanti (New Brunswick) MSC: 65N30 65N55 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{R. Lazarov} et al., Comput. Methods Appl. Math. 1, No. 4, 367--382 (2001; Zbl 0995.65114) Full Text: DOI EuDML EMIS
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. Least-squares methods for linear elasticity based on a discrete minus one inner product. (English) Zbl 0999.74107 Comput. Methods Appl. Mech. Eng. 191, No. 8-10, 727-744 (2001). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Comput. Methods Appl. Mech. Eng. 191, No. 8--10, 727--744 (2001; Zbl 0999.74107) Full Text: DOI
Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. Multiplier spaces for the mortar finite element method in three dimensions. (English) Zbl 1006.65129 SIAM J. Numer. Anal. 39, No. 2, 519-538 (2001). Reviewer: M.Plum (Karlsruhe) MSC: 65N30 65F10 65N12 35J05 35J25 65N50 PDFBibTeX XMLCite \textit{C. Kim} et al., SIAM J. Numer. Anal. 39, No. 2, 519--538 (2001; Zbl 1006.65129) Full Text: DOI
Chernogorova, Tatiana; Ewing, Richard E.; Iliev, Oleg; Lazarov, Raytcho On the discretization of interface problems with perfect and imperfect contact. (English) Zbl 1014.76061 Chen, Zhangxin (ed.) et al., Numerical treatment of multiphase flows in porous media. Proceedings of the international workshop, Beijing, China, August 2-6, 1999. Berlin: Springer. Lect. Notes Phys. 552, 93-103 (2000). MSC: 76M20 76S05 65N06 PDFBibTeX XMLCite \textit{T. Chernogorova} et al., Lect. Notes Phys. 552, 93--103 (2000; Zbl 1014.76061)
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. Mixed finite element methods for elliptic problems on non-matching grids. (English) Zbl 0965.65128 Griebel, Michael (ed.) et al., Large-scale scientific computations of engineering and environmental problems II. Proceedings of the 2nd workshop, Sozopol, Bulgaria, June 2-6, 1999. Braunschweig: Vieweg. Notes Numer. Fluid Mech. 73, 25-35 (2000). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{R. D. Lazarov} et al., Notes Numer. Fluid Mech. 73, 25--35 (2000; Zbl 0965.65128)
Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y. Mortar finite volume element approximations of second order elliptic problems. (English) Zbl 0963.65112 East-West J. Numer. Math. 8, No. 2, 93-110 (2000). Reviewer: Peter Matus (Minsk) MSC: 65N30 35J25 65N50 65N12 65N55 65Y05 PDFBibTeX XMLCite \textit{R. Ewing} et al., East-West J. Numer. Math. 8, No. 2, 93--110 (2000; Zbl 0963.65112)
Ewing, Richard; Lazarov, Raytcho; Lin, Yanping Finite volume element approximations of nonlocal reactive flows in porous media. (English) Zbl 0961.76050 Numer. Methods Partial Differ. Equations 16, No. 3, 285-311 (2000). MSC: 76M12 76M10 76S05 76V05 65M12 PDFBibTeX XMLCite \textit{R. Ewing} et al., Numer. Methods Partial Differ. Equations 16, No. 3, 285--311 (2000; Zbl 0961.76050) Full Text: DOI
Ewing, R. E.; Lazarov, R. D.; Lin, Y. Finite volume element approximations of nonlocal in time one-dimensional flows in porous media. (English) Zbl 0969.76052 Computing 64, No. 2, 157-182 (2000). MSC: 76M12 76S05 65R20 45K05 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Computing 64, No. 2, 157--182 (2000; Zbl 0969.76052) Full Text: DOI
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. Coupling mixed and finite volume discretizations of convection-diffusion-reaction equations on non-matching grids. (English) Zbl 1052.65554 Vilsmeier, Roland (ed.) et al., Finite volumes for complex applications II. Problems and perspectives. Papers from the 2nd international conference, Duisburg, July 19–22, 1999. Paris: Hermes Science Publications (ISBN 1-7462-0057-0). 51-68 (1999). MSC: 65N06 76M12 PDFBibTeX XMLCite \textit{R. D. Lazarov} et al., in: Finite volumes for complex applications II. Problems and perspectives. Papers from the 2nd international conference, Duisburg, July 19--22, 1999. Paris: Hermes Science Publications. 51--68 (1999; Zbl 1052.65554)
Ewing, Richard E.; Lazarov, Raytcho D.; Lin, Yanping Finite volume element approximations of integro-differential parabolic problems. (English) Zbl 0980.65150 Iliev, O. P. (ed.) et al., Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA ’98, Sofia, Bulgaria, August 19-23, 1998. Singapore: World Scientific. 3-15 (1999). MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., in: Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA '98, Sofia, Bulgaria, August 19--23, 1998. Singapore: World Scientific. 3--15 (1999; Zbl 0980.65150)
Ewing, Richard E.; Lazarov, Raytcho D.; Lyons, Steve L.; Papavassiliou, Dimitrios V.; Pasciak, Joseph; Qin, Guan Numerical well model for non-Darcy flow through isotropic porous media. (English) Zbl 0964.76041 Comput. Geosci. 3, No. 3-4, 185-204 (1999). MSC: 76M10 76M20 76S05 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Comput. Geosci. 3, No. 3--4, 185--204 (1999; Zbl 0964.76041) Full Text: DOI
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. Least-quares for second-order elliptic problems. (English) Zbl 0944.65119 Comput. Methods Appl. Mech. Eng. 152, No. 1-2, 195-210 (1998). MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Comput. Methods Appl. Mech. Eng. 152, No. 1--2, 195--210 (1998; Zbl 0944.65119) Full Text: DOI
Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. (English) Zbl 0894.65044 Numer. Math. 78, No. 4, 495-521 (1998). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65M60 65M15 65M12 35K15 PDFBibTeX XMLCite \textit{H. Chen} et al., Numer. Math. 78, No. 4, 495--521 (1998; Zbl 0894.65044) Full Text: DOI
Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S. Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. (English) Zbl 0895.65049 East-West J. Numer. Math. 5, No. 4, 249-264 (1997). Reviewer: G.Hedstrom (Livermore) MSC: 65N30 35J25 35B25 PDFBibTeX XMLCite \textit{R. D. Lazarov} et al., East-West J. Numer. Math. 5, No. 4, 249--264 (1997; Zbl 0895.65049)
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. A least-squares approach based on a discrete minus one inner product for first order systems. (English) Zbl 0870.65104 Math. Comput. 66, No. 219, 935-955 (1997). MSC: 65N30 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 66, No. 219, 935--955 (1997; Zbl 0870.65104) Full Text: DOI
Chen, H.; Lazarov, R. D. Domain splitting algorithm for mixed finite element approximations to parabolic problems. (English) Zbl 0878.65081 East-West J. Numer. Math. 4, No. 2, 121-135 (1996). Reviewer: R.Anguelov (Silverton) MSC: 65M55 65M60 35K15 PDFBibTeX XMLCite \textit{H. Chen} and \textit{R. D. Lazarov}, East-West J. Numer. Math. 4, No. 2, 121--135 (1996; Zbl 0878.65081)
Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho Domain decomposition algorithms for mixed methods for second-order elliptic problems. (English) Zbl 0849.65088 Math. Comput. 65, No. 214, 467-490 (1996). Reviewer: W.Petry (Düsseldorf) MSC: 65N55 65N30 65F10 35J25 65F35 65N12 PDFBibTeX XMLCite \textit{Z. Chen} et al., Math. Comput. 65, No. 214, 467--490 (1996; Zbl 0849.65088) Full Text: DOI
Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S. Finite volume methods for convection-diffusion problems. (English) Zbl 0847.65075 SIAM J. Numer. Anal. 33, No. 1, 31-55 (1996). Reviewer: K.Finck von Finckenstein (Darmstadt) MSC: 65N06 65N15 35J25 PDFBibTeX XMLCite \textit{R. D. Lazarov} et al., SIAM J. Numer. Anal. 33, No. 1, 31--55 (1996; Zbl 0847.65075) Full Text: DOI Link
Vassilevski, Panayot S.; Lazarov, Raytcho D. Preconditioning mixed finite element saddle-point elliptic problems. (English) Zbl 0848.65079 Numer. Linear Algebra Appl. 3, No. 1, 1-20 (1996). Reviewer: E.Schechter (Kaiserslautern) MSC: 65N30 65F35 65F10 35J25 PDFBibTeX XMLCite \textit{P. S. Vassilevski} and \textit{R. D. Lazarov}, Numer. Linear Algebra Appl. 3, No. 1, 1--20 (1996; Zbl 0848.65079) Full Text: DOI
Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A. Multilevel preconditioners for mixed methods for second order elliptic problems. (English) Zbl 0906.65115 Numer. Linear Algebra Appl. 3, No. 5, 427-453 (1996). Reviewer: J.Chleboun (Praha) MSC: 65N55 65N30 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{Z. Chen} et al., Numer. Linear Algebra Appl. 3, No. 5, 427--453 (1996; Zbl 0906.65115) Full Text: DOI
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Local refinement techniques for elliptic problems on cell-centered grids. II: Optimal order two-grid iterative methods. (English) Zbl 0840.65124 Numer. Linear Algebra Appl. 1, No. 4, 337-368 (1994). MSC: 65N55 65F10 65F35 65N12 65N50 65N06 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Numer. Linear Algebra Appl. 1, No. 4, 337--368 (1994; Zbl 0840.65124) Full Text: DOI
Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F. First-order system least squares for second-order partial differential equations. I. (English) Zbl 0813.65119 SIAM J. Numer. Anal. 31, No. 6, 1785-1799 (1994). Reviewer: I.Evzerov (Kiev) MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{Z. Cai} et al., SIAM J. Numer. Anal. 31, No. 6, 1785--1799 (1994; Zbl 0813.65119) Full Text: DOI