Cui, Ming; Chen, Zhangxin; Ewing, Richard E.; Qin, Guan; Chen, Hongsen Reliable and efficient error control for an adaptive Galerkin-characteristic method for convection-dominated diffusion problems. (English) Zbl 1262.65118 Adv. Comput. Math. 37, No. 3, 319-353 (2012). Reviewer: Vit Dolejsi (Praha) MSC: 65M15 65M60 65M25 35K20 65M12 PDFBibTeX XMLCite \textit{M. Cui} et al., Adv. Comput. Math. 37, No. 3, 319--353 (2012; Zbl 1262.65118) 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
Liu, J.; Chen, H.; Ewing, R.; Qin, G. An efficient algorithm for characteristic tracking on two-dimensional triangular meshes. (English) Zbl 1120.65104 Computing 80, No. 2, 121-136 (2007). MSC: 65M25 35K15 35L45 65M50 PDFBibTeX XMLCite \textit{J. Liu} et al., Computing 80, No. 2, 121--136 (2007; Zbl 1120.65104) 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
Liu, Jiangguo; Ewing, Richard E.; Qin, Guan Multilevel numerical solutions of convection-dominated diffusion problems by spline wavelets. (English) Zbl 1099.65087 Numer. Methods Partial Differ. Equations 22, No. 4, 994-1006 (2006). MSC: 65M60 65T60 35K15 PDFBibTeX XMLCite \textit{J. Liu} et al., Numer. Methods Partial Differ. Equations 22, No. 4, 994--1006 (2006; Zbl 1099.65087) Full Text: DOI
Ewing, Richard E.; Lin, Yanping; Wang, Junping; Yang, Xiaozhong Backward Euler mixed FEM and regularity of parabolic integro-differential equations with non-smooth data. (English) Zbl 1115.76048 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 13, No. 2, 283-295 (2006). MSC: 76M10 76S05 35Q35 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 13, No. 2, 283--295 (2006; Zbl 1115.76048)
Liu, Jiangguo; Popov, Bojan; Wang, Hong; Ewing, Richard E. Convergence analysis of wavelet schemes for convection-reaction equations under minimal regularity assumptions. (English) Zbl 1091.65096 SIAM J. Numer. Anal. 43, No. 2, 521-539 (2005). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M25 65M12 76M20 35L15 65M15 PDFBibTeX XMLCite \textit{J. Liu} et al., SIAM J. Numer. Anal. 43, No. 2, 521--539 (2005; Zbl 1091.65096) Full Text: DOI
Wang, Hong; Liu, Jiangguo; Espedal, Magne S.; Ewing, Richard E. A characteristic nonoverlapping domain decomposition method for multidimensional convection-diffusion equations. (English) Zbl 1059.65087 Numer. Methods Partial Differ. Equations 21, No. 1, 89-103 (2005). MSC: 65M55 65F10 65F35 35K15 65M25 PDFBibTeX XMLCite \textit{H. Wang} et al., Numer. Methods Partial Differ. Equations 21, No. 1, 89--103 (2005; Zbl 1059.65087) Full Text: DOI
Ewing, Richard; Liu, Jiangguo; Wang, Hong Adaptive wavelet methods for advection-reaction equations. (English) Zbl 1040.65084 Chen, Zhangxin (ed.) et al., Current trends in scientific computing. ICM 2002 Beijing satellite conference on scientific computing, August 15–18, 2002, Xi’an, China. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3261-1/pbk). Contemp. Math. 329, 119-130 (2003). MSC: 65M70 65T60 76S05 76M25 65M55 65M12 35K57 PDFBibTeX XMLCite \textit{R. Ewing} et al., Contemp. Math. 329, 119--130 (2003; Zbl 1040.65084)
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)
Ewing, Richard E.; Liu, Mingjun; Wang, Junping A new superconvergence for mixed finite element approximations. (English) Zbl 1036.65083 SIAM J. Numer. Anal. 40, No. 6, 2133-2150 (2002). MSC: 65N12 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., SIAM J. Numer. Anal. 40, No. 6, 2133--2150 (2002; Zbl 1036.65083) Full Text: DOI
Chen, Zhangxin; Ewing, Richard E.; Jiang, Qiaoyuan; Spagnuolo, Anna M. Error analysis for characteristics-based methods for degenerate parabolic problems. (English) Zbl 1024.65091 SIAM J. Numer. Anal. 40, No. 4, 1491-1515 (2002). MSC: 65M60 76S05 35A35 35K60 35K65 PDFBibTeX XMLCite \textit{Z. Chen} et al., SIAM J. Numer. Anal. 40, No. 4, 1491--1515 (2002; Zbl 1024.65091) Full Text: DOI
Sun, Tong; Ewing, Richard E. Long-time error estimation and a stability-smoothing indicator. (English) Zbl 1007.65056 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 9, No. 1, 115-129 (2002). Reviewer: Erwin Schechter (Kaiserslautern) MSC: 65L70 65M15 65M12 34A34 65L20 35K15 65L05 PDFBibTeX XMLCite \textit{T. Sun} and \textit{R. E. Ewing}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 9, No. 1, 115--129 (2002; Zbl 1007.65056)
Ewing, Richard E.; Lin, Tao; Lin, Yanping On the accuracy of the finite volume element method based on piecewise linear polynomials. (English) Zbl 1036.65084 SIAM J. Numer. Anal. 39, No. 6, 1865-1888 (2002). Reviewer: H. P. Dikshit (New Delhi) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., SIAM J. Numer. Anal. 39, No. 6, 1865--1888 (2002; Zbl 1036.65084) Full Text: DOI
Ewing, Richard E.; Shen, Jian; Wang, Junping Point-distributed algorithms on locally refined grids for second order elliptic equations. (English) Zbl 1019.65089 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. Adv. Comput., Theory Pract. 7, 37-51 (2001). MSC: 65N30 65N12 35J25 65N50 65N15 65N06 65F10 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Adv. Comput., Theory Pract. 7, 37--51 (2001; Zbl 1019.65089)
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
Ewing, R. Mathematical modeling and simulation for fluid flow in porous media. (English) Zbl 1091.76570 Mat. Model. 13, No. 2, 117-127 (2001). MSC: 76S05 65M60 35K57 65M06 76V05 PDFBibTeX XMLCite \textit{R. Ewing}, Mat. Model. 13, No. 2, 117--127 (2001; Zbl 1091.76570) Full Text: MNR
Ewing, Richard E.; Wang, Hong A summary of numerical methods for time-dependent advection-dominated partial differential equations. (English) Zbl 0983.65098 J. Comput. Appl. Math. 128, No. 1-2, 423-445 (2001). MSC: 65M06 65-02 76S05 76M10 35K15 65M60 76M20 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{H. Wang}, J. Comput. Appl. Math. 128, No. 1--2, 423--445 (2001; Zbl 0983.65098) Full Text: DOI
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)
Chen, Zhangxin; Qin, Guan; Ewing, Richard E. Analysis of a compositional model for fluid flow in porous media. (English) Zbl 0953.35071 SIAM J. Appl. Math. 60, No. 3, 747-777 (2000). Reviewer: A.Fasano (Firenze) MSC: 35K60 35K65 76S05 76T30 65M60 PDFBibTeX XMLCite \textit{Z. Chen} et al., SIAM J. Appl. Math. 60, No. 3, 747--777 (2000; Zbl 0953.35071) Full Text: DOI
Cannon, John R.; Ewing, Richard E.; He, Yinnian; Lin, Yanping A modified nonlinear Galerkin method for the viscoelastic fluid motion equations. (English) Zbl 1210.76111 Int. J. Eng. Sci. 37, No. 13, 1643-1662 (1999). MSC: 76M10 65M30 76D05 76A10 35Q35 65M70 76M25 PDFBibTeX XMLCite \textit{J. R. Cannon} et al., Int. J. Eng. Sci. 37, No. 13, 1643--1662 (1999; Zbl 1210.76111) Full Text: DOI
Wang, Hong; Dahle, Helge K.; Ewing, Richard E.; Espedal, Magne S.; Sharpley, Robert C.; Man, Shushuang An ELLAM scheme for advection-diffusion equations in two dimensions. (English) Zbl 0939.65109 SIAM J. Sci. Comput. 20, No. 6, 2160-2194 (1999). Reviewer: Z.Dżygadło (Warszawa) MSC: 65M25 35L15 65M60 76M10 76S05 PDFBibTeX XMLCite \textit{H. Wang} et al., SIAM J. Sci. Comput. 20, No. 6, 2160--2194 (1999; Zbl 0939.65109) Full Text: DOI
Ewing, Richard E.; Li, Zhilin; Lin, Tao; Lin, Yanping The immersed finite volume element methods for the elliptic interface problems. (English) Zbl 1027.65155 Math. Comput. Simul. 50, No. 1-4, 63-76 (1999). MSC: 65N30 35J25 65N12 65N15 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Math. Comput. Simul. 50, No. 1--4, 63--76 (1999; Zbl 1027.65155) Full Text: DOI
Badea, L.; Ewing, R. E.; Wang, J. A study of free boundary problems of fluid flow in porous media by mixed methods. (English) Zbl 0929.35179 Athanasopoulos, I. (ed.) et al., Free boundary problems: theory and applications. Proceedings of the conference, Crete, Greece, June 8–14, 1997. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Res. Notes Math. 409, 3-13 (1999). MSC: 35R35 76S05 65M60 PDFBibTeX XMLCite \textit{L. Badea} et al., Chapman Hall/CRC Res. Notes Math. 409, 3--13 (1999; Zbl 0929.35179)
Chen, Zhangxin; Ewing, Richard Mathematical analysis for reservoir models. (English) Zbl 0922.35074 SIAM J. Math. Anal. 30, No. 2, 431-453 (1999). Reviewer: V.N.Grebenev (Novosibirsk) MSC: 35K60 35K65 76S05 76T99 35D05 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{R. Ewing}, SIAM J. Math. Anal. 30, No. 2, 431--453 (1999; Zbl 0922.35074) Full Text: DOI
Ewing, Richard E.; Sævareid, Ove; Shen, Jian Discretization schemes of triangular grids. (English) Zbl 0943.65120 Comput. Methods Appl. Mech. Eng. 152, No. 1-2, 219-238 (1998). MSC: 65N06 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Comput. Methods Appl. Mech. Eng. 152, No. 1--2, 219--238 (1998; Zbl 0943.65120) Full Text: DOI
Ewing, Richard E.; Liu, Michael M.; Wang, Junping Superconvergence of mixed finite element approximations over quadrilaterals. (English) Zbl 0926.65107 SIAM J. Numer. Anal. 36, No. 3, 772-787 (1998). Reviewer: K.Georgiev (Sofia) MSC: 65N12 35J25 65N30 65N55 65N15 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., SIAM J. Numer. Anal. 36, No. 3, 772--787 (1998; Zbl 0926.65107) 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
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
Ewing, Richard E.; Wang, Hong An optimal-order estimate for Eulerian-Lagrangian localized adjoint methods for variable-coefficient advection-reaction problems. (English) Zbl 0860.65086 SIAM J. Numer. Anal. 33, No. 1, 318-348 (1996). Reviewer: R.Jeltsch (Zürich) MSC: 65M15 65M60 35L45 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{H. Wang}, SIAM J. Numer. Anal. 33, No. 1, 318--348 (1996; Zbl 0860.65086) Full Text: DOI
Ewing, R. E.; Margenov, S. D.; Vassilevski, P. S. Preconditioning the biharmonic equation by multilevel iterations. (English) Zbl 1034.65507 Math. Balk., New Ser. 10, No. 1, 121-132 (1996). MSC: 65N06 65N55 65F10 65F35 35J40 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Math. Balk., New Ser. 10, No. 1, 121--132 (1996; Zbl 1034.65507)
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
Wang, Hong; Ewing, Richard E.; Russell, Thomas F. Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis. (English) Zbl 0830.65095 IMA J. Numer. Anal. 15, No. 3, 405-459 (1995). Reviewer: Q.Duan (Lafayette) MSC: 65M60 65M12 35K15 PDFBibTeX XMLCite \textit{H. Wang} et al., IMA J. Numer. Anal. 15, No. 3, 405--459 (1995; Zbl 0830.65095) Full Text: DOI
Wang, Hong; Ewing, Richard E.; Celia, Michael A. Eulerian-Lagrangian localized adjoint methods for reactive transport with biodegradation. (English) Zbl 0824.76102 Numer. Methods Partial Differ. Equations 11, No. 3, 229-254 (1995). Reviewer: I.Bena (Iaşi) MSC: 76Z05 76V05 35Q99 PDFBibTeX XMLCite \textit{H. Wang} et al., Numer. Methods Partial Differ. Equations 11, No. 3, 229--254 (1995; Zbl 0824.76102) 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
Ewing, R. E.; Wang, J. Analysis of multilevel decomposition iterative methods for mixed finite element methods. (English) Zbl 0823.65035 RAIRO, Modélisation Math. Anal. Numér. 28, No. 4, 377-398 (1994). Reviewer: L.S.Ioffe (Haifa) MSC: 65F10 65N55 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{J. Wang}, RAIRO, Modélisation Math. Anal. Numér. 28, No. 4, 377--398 (1994; Zbl 0823.65035) Full Text: DOI EuDML
Watson, A. T.; Wade, J. G.; Ewing, R. E. Parameter and system identification for fluid flow in underground reservoirs. (English) Zbl 0819.35148 Engl, Heinz W. (ed.) et al., Proceedings of the conference on inverse problems and optimal design in industry, July 8-10, 1993, Philadelphia, PA, USA. Stuttgart: B. G. Teubner. Eur. Consortium Math. Ind. 10, 81-108 (1994). MSC: 35R30 76S05 65J20 35G10 35K25 PDFBibTeX XMLCite \textit{A. T. Watson} et al., Eur. Consortium Math. Ind. 10, 81--108 (1994; Zbl 0819.35148)
Wang, H.; Dahle, H. K.; Ewing, R. E.; Lin, T.; Våg, J. E. ELLAM-based domain decomposition and local refinement techniques for advection-diffusion equations with interfaces. (English) Zbl 0817.65078 Keyes, David E. (ed.) et al., Domain decomposition methods in scientific and engineering computing. Proceedings of the 7th international conference on domain decomposition, October 27-30, 1993, Pennsylvania State University, PA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 180, 361-366 (1994). MSC: 65M55 65M50 65M60 35K15 PDFBibTeX XMLCite \textit{H. Wang} et al., Contemp. Math. 180, 361--366 (1994; Zbl 0817.65078)
Ewing, Richard E.; Lazarov, Raytcho D.; Vassilev, Apostol T. Finite difference scheme for parabolic problems on composite grids with refinement in time and space. (English) Zbl 0817.65071 SIAM J. Numer. Anal. 31, No. 6, 1605-1622 (1994). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65M06 65M12 65M15 65M50 35K15 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., SIAM J. Numer. Anal. 31, No. 6, 1605--1622 (1994; Zbl 0817.65071) Full Text: DOI
Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S. Preconditioning of nonconforming finite element approximations of second order elliptic problems. (English) Zbl 0820.65069 Dimov, I. T. (ed.) et al., Proceedings of the third international conference on advances in numerical methods and applications \(O(h^ 3)\), Sofia, Bulgaria, 21-26 August, 1994. Singapore: World Scientific. 101-110 (1994). Reviewer: K.Finck von Finckenstein (Darmstadt) MSC: 65N30 65F35 65F10 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., in: Proceedings of the third international conference on advances in numerical methods and applications \(O(h^ 3)\), Sofia, Bulgaria, 21-26 August, 1994. Singapore: World Scientific. 101--110 (1994; Zbl 0820.65069)
Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho Superconvergence of the mixed finite element approximations to parabolic equations. (English) Zbl 0812.65089 Dimov, I. T. (ed.) et al., Proceedings of the third international conference on advances in numerical methods and applications \(O(h^ 3)\), Sofia, Bulgaria, 21-26 August, 1994. Singapore: World Scientific. 63-69 (1994). Reviewer: I.Evzerov (Kiev) MSC: 65M60 65M12 35K15 PDFBibTeX XMLCite \textit{H. Chen} et al., in: Proceedings of the third international conference on advances in numerical methods and applications \(O(h^ 3)\), Sofia, Bulgaria, 21-26 August, 1994. Singapore: World Scientific. 63--69 (1994; Zbl 0812.65089)
Ewing, R. E.; Lazarov, R. D. Approximation of parabolic problems on grids locally refined in time and space. (English) Zbl 0811.65080 Appl. Numer. Math. 14, No. 1-3, 199-211 (1994). Reviewer: S.Gocheva-Ilieva (Plovdiv) MSC: 65M60 65M06 65M50 65M55 65F10 35K15 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{R. D. Lazarov}, Appl. Numer. Math. 14, No. 1--3, 199--211 (1994; Zbl 0811.65080) Full Text: DOI
Ewing, Richard E.; Petrova, Svetozara I.; Vassilevski, Panayot S. Two-level local refinement preconditioners for nonsymmetric and indefinite elliptic problems. (English) Zbl 0814.65041 SIAM J. Sci. Comput. 15, No. 1, 149-163 (1994). Reviewer: V.Korneev (St.Peterburg) MSC: 65F35 65F10 65N12 65N06 65N55 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., SIAM J. Sci. Comput. 15, No. 1, 149--163 (1994; Zbl 0814.65041) Full Text: DOI
Ewing, R. E.; Lazarov, R. D. Superconvergence of the mixed finite element approximations of parabolic problems using rectangular finite elements. (English) Zbl 0835.65105 East-West J. Numer. Math. 1, No. 3, 199-212 (1993). MSC: 65M12 65M60 35K15 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{R. D. Lazarov}, East-West J. Numer. Math. 1, No. 3, 199--212 (1993; Zbl 0835.65105)
Ewing, Richard E.; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. Domain decomposition type iterative techniques for parabolic problems on locally refined grids. (English) Zbl 0794.65076 SIAM J. Numer. Anal. 30, No. 6, 1537-1557 (1993). Reviewer: T.Roubíček (Praha) MSC: 65M55 65M50 76S05 35K05 35K15 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., SIAM J. Numer. Anal. 30, No. 6, 1537--1557 (1993; Zbl 0794.65076) Full Text: DOI
Herrera, Ismael; Ewing, Richard E.; Celia, Michael A.; Russell, Thomas F. Eulerian-Lagrangian localized adjoint method: The theoretical framework. (English) Zbl 0784.65071 Numer. Methods Partial Differ. Equations 9, No. 4, 431-457 (1993). Reviewer: K.Finck von Finckenstein (Darmstadt) MSC: 65M25 65M60 35K15 PDFBibTeX XMLCite \textit{I. Herrera} et al., Numer. Methods Partial Differ. Equations 9, No. 4, 431--457 (1993; Zbl 0784.65071) Full Text: DOI
Lin, Tao; Ewing, Richard E. Direct numerical method for an inverse problem of hyperbolic equations. (English) Zbl 0778.65084 Numer. Methods Partial Differ. Equations 8, No. 6, 551-574 (1992). Reviewer: T.Seidman MSC: 65Z05 65M12 35L05 35R30 PDFBibTeX XMLCite \textit{T. Lin} and \textit{R. E. Ewing}, Numer. Methods Partial Differ. Equations 8, No. 6, 551--574 (1992; Zbl 0778.65084) Full Text: DOI
Ewing, Richard E.; Shen, Jian; Vassilevski, Panayot S. Vectorizable preconditioners for mixed finite element solution of second- order elliptic problems. (English) Zbl 0758.65022 Int. J. Comput. Math. 44, No. 1-4, 313-327 (1992). Reviewer: T.C.Mohan (Madras) MSC: 65F10 65N30 65F35 65Y05 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Int. J. Comput. Math. 44, No. 1--4, 313--327 (1992; Zbl 0758.65022) Full Text: DOI
Ewing, Richard E.; Wang, Junping Analysis of mixed finite element methods on locally refined grids. (English) Zbl 0772.65071 Numer. Math. 63, No. 2, 183-194 (1992). Reviewer: S.L.Svensson (Lund) MSC: 65N30 65N50 65N15 65N12 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{J. Wang}, Numer. Math. 63, No. 2, 183--194 (1992; Zbl 0772.65071) Full Text: DOI EuDML
Ewing, R. E.; Monakhov, V. N. Nonisothermal two-phase filtration in porous media. (English) Zbl 0818.35087 Antontsev, S. N. (ed.) et al., Free boundary problems in continuum mechanics. International conference on free boundary problems in continuum mechanics, Novosibirsk, Russia, July 15-19, 1991. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 106, 121-130 (1992). MSC: 35Q35 76S05 76T99 80A20 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{V. N. Monakhov}, ISNM, Int. Ser. Numer. Math. 106, 121--130 (1992; Zbl 0818.35087)
Ewing, R. E.; Wang, J. Analysis of the Schwarz algorithm for mixed finite elements methods. (English) Zbl 0765.65104 RAIRO, Modélisation Math. Anal. Numér. 26, No. 6, 739-756 (1992). Reviewer: M.Plum (Clausthal-Zellerfeld) MSC: 65N30 65N12 65N55 65F10 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{J. Wang}, RAIRO, Modélisation Math. Anal. Numér. 26, No. 6, 739--756 (1992; Zbl 0765.65104) Full Text: DOI EuDML
Ewing, R. E.; Lazarov, R. D.; Vassilev, A. T. Adaptive techniques for time-dependent problems. (English) Zbl 0788.65096 Comput. Methods Appl. Mech. Eng. 101, No. 1-3, 113-126 (1992). Reviewer: K.Frischmuth (Rostock) MSC: 65M50 65M15 65M06 65M12 35K05 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Comput. Methods Appl. Mech. Eng. 101, No. 1--3, 113--126 (1992; Zbl 0788.65096) Full Text: DOI
Bramble, James H.; Ewing, Richard E.; Parashkevov, Rossen R.; Pasciak, Joseph E. Domain decomposition methods for problems with partial refinement. (English) Zbl 0746.65084 SIAM J. Sci. Stat. Comput. 13, No. 1, 397-410 (1992). Reviewer: W.Heinrichs (Düsseldorf) MSC: 65N55 65F10 65N50 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., SIAM J. Sci. Stat. Comput. 13, No. 1, 397--410 (1992; Zbl 0746.65084) Full Text: DOI
Ewing, Richard E.; Vassilevski, Panayot S. Two-level iterative refinement preconditioners. (English) Zbl 0774.65022 Domain decomposition methods for partial differential equations, Proc. 5th Int. SIAM Symp., Norfolk/VA (USA) 1991, 262-270 (1992). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F35 65F10 65N30 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{P. S. Vassilevski}, in: Fifth international SIAM symposium on domain decomposition methods for partial differential equations, held in Norfolk, Virginia, USA, May 6-8, 1991. Philadelphia, PA: SIAM. 262--270 (1992; Zbl 0774.65022)
Ewing, Richard E.; Wang, Junping The Schwarz algorithm and multilevel decomposition iterative techniques for mixed finite element methods. (English) Zbl 0770.65084 Domain decomposition methods for partial differential equations, Proc. 5th Int. SIAM Symp., Norfolk/VA (USA) 1991, 48-55 (1992). MSC: 65N55 65N30 65F10 65N12 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{J. Wang}, in: Fifth international SIAM symposium on domain decomposition methods for partial differential equations, held in Norfolk, Virginia, USA, May 6-8, 1991. Philadelphia, PA: SIAM. 48--55 (1992; Zbl 0770.65084)
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Finite difference schemes on grids with local refinement in time and in space for parabolic problems. Optimal order two-grid iterative methods. (English) Zbl 0829.65112 Parallel algorithms for partial differential equations, Proc. 6th GAMM- Semin., Kiel/Ger. 1990, Notes Numer. Fluid Mech. 31, 70-93 (1991). MSC: 65M06 65M50 65F10 65F35 35K15 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Notes Numer. Fluid Mech. 31, 70--93 (1991; Zbl 0829.65112)
Lin, T.; Sochacki, J.; Ewing, R.; George, J. Some grid refinement schemes for hyperbolic equations with piecewise constant coefficients. (English) Zbl 0741.65066 Math. Comput. 56, No. 193, 61-86 (1991). Reviewer: G.Dimitriu (Iaşi) MSC: 65M06 65M15 65M50 35L45 PDFBibTeX XMLCite \textit{T. Lin} et al., Math. Comput. 56, No. 193, 61--86 (1991; Zbl 0741.65066) Full Text: DOI
Ewing, R. E.; Lazarov, R. D.; Wang, J. Superconvergence of the velocity along the Gauss lines in mixed finite element methods. (English) Zbl 0733.65065 SIAM J. Numer. Anal. 28, No. 4, 1015-1029 (1991). Reviewer: P.Burda (Praha) MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., SIAM J. Numer. Anal. 28, No. 4, 1015--1029 (1991; Zbl 0733.65065) Full Text: DOI
Bramble, James H.; Ewing, Richard E.; Parashkevov, Rossen R.; Pasciak, Joseph E. Domain decomposition methods for problems with uniform local refinement in two dimensions. (English) Zbl 0726.65138 Applied mathematics and computing, Trans. 8th Army Conf., Ithaca/NY (USA) 1990, ARO Rep. 91-1, 625-635 (1991). Reviewer: C.A.De Moura (Le Chesnay) MSC: 65N55 65Y05 65N50 35J25 PDFBibTeX XML
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners. (English) Zbl 0726.65137 Numer. Math. 59, No. 5, 431-452 (1991). MSC: 65N55 65F10 65N22 65N50 35J25 65N30 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Numer. Math. 59, No. 5, 431--452 (1991; Zbl 0726.65137) Full Text: DOI EuDML
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Local refinement techniques for elliptic problems on cell-centered grids. I: Error analysis. (English) Zbl 0724.65093 Math. Comput. 56, No. 194, 437-461 (1991). Reviewer: K.Frischmuth (Rostock) MSC: 65N06 65N15 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Math. Comput. 56, No. 194, 437--461 (1991; Zbl 0724.65093) Full Text: DOI
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners. (English) Zbl 0712.65102 Numer. Math. (to appear). Reviewer: R.E.Ewing MSC: 65N55 65F10 65N22 65N50 35J25 65N30 PDFBibTeX XML Full Text: EuDML
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Mixed finite element solutions of second order elliptic problems on grids with regular local refinement. (English) Zbl 0767.65075 Fourth international symposium on domain decomposition methods for partial differential equations, Proc. Symp., Moscow/Russ. 1990, 206-212 (1991). MSC: 65N30 65N50 65F10 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., in: Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Philadelphia, PA: SIAM. 206--212 (1991; Zbl 0767.65075)
Bramble, James H.; Ewing, Richard E.; Parashkevov, Rossen R.; Pasciak, Joseph E. Domain decomposition methods for problems with uniform local refinement in two dimensions. (English) Zbl 0766.65099 Fourth international symposium on domain decomposition methods for partial differential equations, Proc. Symp., Moscow/Russ. 1990, 91-100 (1991). MSC: 65N55 65Y05 65N50 65N30 35J25 65F35 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., in: Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Philadelphia, PA: SIAM. 91--100 (1991; Zbl 0766.65099)
Colton, David (ed.); Ewing, Richard (ed.); Rundell, William (ed.) Inverse problems in partial differential equations. Proceedings of a conference which was part of the summer research conferences in the mathematical sciences, Humboldt State University, Arcata, California (USA), July 29 – August 4, 1989. (English) Zbl 0695.00017 Philadelphia: SIAM, Society for Industrial and Applied Mathematics. 214 p. $ 31.50 (1990). MSC: 00B25 35-06 65-06 35R30 65M32 65N21 PDFBibTeX XMLCite \textit{D. Colton} (ed.) et al., Inverse problems in partial differential equations. Proceedings of a conference which was part of the summer research conferences in the mathematical sciences, Humboldt State University, Arcata, California (USA), July 29 -- August 4, 1989. Philadelphia: SIAM (1990; Zbl 0695.00017)
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Finite difference schemes on grids with local refinement in time and space for parabolic problems. I: Derivation, stability, and error analysis. (English) Zbl 0721.65047 Computing 45, No. 3, 193-215 (1990). Reviewer: G.Hedstrom (Livermore) MSC: 65M06 65M50 65M12 35K15 65M15 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Computing 45, No. 3, 193--215 (1990; Zbl 0721.65047) Full Text: DOI
Ewing, Richard E.; Lazarov, Raytcho D.; Lu, Peng; Vassilevski, Panayot S. Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems. (English) Zbl 0719.65024 Preconditioned conjugate gradient methods, Proc. Conf., Nijmegen/Neth. 1989, Lect. Notes Math. 1457, 28-43 (1990). Reviewer: J.Lovíšek (Bratislava) MSC: 65F10 65N30 65F35 35J25 PDFBibTeX XML
Ewing, R. E.; Lazarov, R. D.; Russell, T. F.; Vassilevski, P. S. Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas elements. (English) Zbl 0705.65080 Domain decomposition methods for partial differential equations, Proc. 3rd Int. Symp. Houston/TX (USA) 1989, 98-114 (1990). Reviewer: H.P.Dikshit MSC: 65N30 65N50 65N15 35J25 PDFBibTeX XML
Ewing, Richard E. Preconditioned conjugate gradient methods for large-scale fluid flow applications. (English) Zbl 0694.65010 BIT 29, No. 4, 850-866 (1989). Reviewer: A.Popa MSC: 65F10 65N22 65F35 65F50 76S05 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing}, BIT 29, No. 4, 850--866 (1989; Zbl 0694.65010) Full Text: DOI
Ewing, Richard E.; Lin, Tao Parameter identification problems in single-phase and two-phase flow. (English) Zbl 0686.93016 Control and estimation of distributed parameter systems, 4th Int. Conf., Vorau/Austria 1988, ISNM 91, 85-108 (1989). MSC: 93C20 35R30 93B30 PDFBibTeX XML
Bramble, James H.; Ewing, Richard E.; Li, Gang Alternating direction multistep methods for parabolic problems - iterative stabilization. (English) Zbl 0686.65078 SIAM J. Numer. Anal. 26, No. 4, 904-919 (1989). Reviewer: H.Marcinkowska MSC: 65N30 65N15 35K60 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., SIAM J. Numer. Anal. 26, No. 4, 904--919 (1989; Zbl 0686.65078) Full Text: DOI
Lin, Tao; Ewing, Richard E. A note on source term identification for parabolic equations. (English) Zbl 0685.93018 Control and estimation of distributed parameter systems, 4th Int. Conf., Vorau/Austria 1988, ISNM 91, 263-281 (1989). MSC: 93B30 93C20 35R30 93B40 PDFBibTeX XML
Straughan, B.; Ewing, R. E.; Jacobs, P. G.; Djomehri, M. J. Nonlinear instability for a modified form of Burgers’ equation. (English) Zbl 0704.76023 Numer. Methods Partial Differ. Equations 3, No. 1, 51-64 (1987). MSC: 76E30 35Q53 PDFBibTeX XMLCite \textit{B. Straughan} et al., Numer. Methods Partial Differ. Equations 3, No. 1, 51--64 (1987; Zbl 0704.76023) Full Text: DOI
Ewing, Richard; Lin, Tao; Falk, Richard Inverse and ill-posed problems in reservoir simulation. (English) Zbl 0667.35066 Inverse and ill-posed problems, Alpine-U.S. Semin. St. Wolfgang/Austria 1986, Notes Rep. Math. Sci. Eng. 4, 483-497 (1987). Reviewer: M.Primicerio MSC: 35R25 35R30 76S05 76T99 PDFBibTeX XML
Lin, Tao; Ewing, Richard Parameter estimation for distributed systems arising in fluid flow problems via time series methods. (English) Zbl 0604.93015 Inverse problems, Proc. Conf., Oberwolfach/Ger. 1986, ISNM 77, 117-126 (1986). Reviewer: J.Sprekels MSC: 93B30 35R30 76S05 35R25 62M10 76T99 93C10 93C20 PDFBibTeX XML
Allen, M. B.; Koebbe, J. V.; Ewing, R. E. Mixed finite element methods for computing groundwater velocities. (English) Zbl 0637.76101 Numer. Methods Partial Differ. Equations 1, 195-207 (1985). MSC: 76S05 35Q99 76M99 65Z05 86A20 PDFBibTeX XMLCite \textit{M. B. Allen} et al., Numer. Methods Partial Differ. Equations 1, 195--207 (1985; Zbl 0637.76101) Full Text: DOI
Ewing, R. E. Efficient multistep procedures for nonlinear parabolic problems with nonlinear Neumann boundary conditions. (English) Zbl 0522.65072 Calcolo 19, 231-252 (1982). MSC: 65N30 65N40 35K60 PDFBibTeX XMLCite \textit{R. E. Ewing}, Calcolo 19, 231--252 (1982; Zbl 0522.65072) Full Text: DOI
Ewing, Richard E. On efficient time-stepping methods for nonlinear partial differential equations. (English) Zbl 0508.65050 Comput. Math. Appl. 6, 1-13 (1980). MSC: 65N30 65N15 35L70 PDFBibTeX XMLCite \textit{R. E. Ewing}, Comput. Math. Appl. 6, 1--13 (1980; Zbl 0508.65050) Full Text: DOI
Cannon, J. R.; Ewing, R. E. A Galerkin procedure for systems of differential equations. (English) Zbl 0463.65071 Calcolo 17, 1-23 (1980). MSC: 65N30 65N15 35K60 34B15 92D10 65H10 PDFBibTeX XMLCite \textit{J. R. Cannon} and \textit{R. E. Ewing}, Calcolo 17, 1--23 (1980; Zbl 0463.65071) Full Text: DOI
Ewing, Richard E. Efficient multistep procedures for nonlinear parabolic problems with nonlinear Neumann boundary conditions. (English) Zbl 0448.65073 Trans. 25th Conf. Army Math., Baltimore/Md. 1979, ARO Rep. 80-1, 427-446 (1980). MSC: 65N30 35K60 65F10 PDFBibTeX XML
Ewing, Richard E.; Falk, Richard S. Numerical approximation of a Cauchy problem for a parabolic partial differential equation. (English) Zbl 0439.65093 Math. Comput. 33, 1125-1144 (1979). MSC: 65N30 65M30 35K20 65N15 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{R. S. Falk}, Math. Comput. 33, 1125--1144 (1979; Zbl 0439.65093) Full Text: DOI
Ewing, Richard E. The Cauchy problem for a linear parabolic partial differential equation. (English) Zbl 0435.35083 J. Math. Anal. Appl. 71, 167-186 (1979). MSC: 35R25 35K10 35K20 65M30 PDFBibTeX XMLCite \textit{R. E. Ewing}, J. Math. Anal. Appl. 71, 167--186 (1979; Zbl 0435.35083) Full Text: DOI
Douglas, Jim jun.; Dupont, Todd; Ewing, Richard E. Incomplete iteration for time-stepping a Galerkin method for a quasilinear parabolic problem. (English) Zbl 0411.65064 SIAM J. Numer. Anal. 16, 503-522 (1979). MSC: 65N22 65F10 65N30 35K60 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., SIAM J. Numer. Anal. 16, 503--522 (1979; Zbl 0411.65064) Full Text: DOI
Cannon, John R.; Ewing, Richard E. Quasilinear parabolic systems with non-linear boundary conditions. (English) Zbl 0399.35062 Inverse and improperly posed problems in differential equations. Proc. Conf. math. numer. Meth., Halle 1979, 35-43 (1979). MSC: 35K55 35K60 35D05 35A35 PDFBibTeX XML
Ewing, Richard E. Time-stepping Galerkin methods for nonlinear Sobolev partial differential equations. (English) Zbl 0399.65083 SIAM J. Numer. Anal. 15, 1125-1150 (1978). MSC: 65N30 35K60 35Q99 PDFBibTeX XMLCite \textit{R. E. Ewing}, SIAM J. Numer. Anal. 15, 1125--1150 (1978; Zbl 0399.65083) Full Text: DOI
Ewing, Richard E. A coupled non-linear hyperbolic-Sobolev system. (English) Zbl 0361.35045 Ann. Mat. Pura Appl., IV. Ser. 114, 332-349 (1977). MSC: 35L60 35K55 35Q99 PDFBibTeX XMLCite \textit{R. E. Ewing}, Ann. Mat. Pura Appl. (4) 114, 332--349 (1977; Zbl 0361.35045) Full Text: DOI
Cannon, J. R.; Ewing, R. E. Galerkin procedures for systems of parabolic partial differential equations related to the transmission of nerve impulses. (English) Zbl 0361.35006 Nonlinear Diffus., Conf. Houston 1976, 24-52 (1977). MSC: 35A35 35K55 35Q99 35A15 PDFBibTeX XML
Cannon, J. R.; Ewing, Richard E. A coupled nonlinear hyperbolic-parabolic system. (English) Zbl 0355.35063 J. Math. Anal. Appl. 58, 665-686 (1977). MSC: 35L60 35B45 35K55 35M99 PDFBibTeX XMLCite \textit{J. R. Cannon} and \textit{R. E. Ewing}, J. Math. Anal. Appl. 58, 665--686 (1977; Zbl 0355.35063) Full Text: DOI
Cannon, J. R.; Ewing, Richard E. On the stability of the temperature distribution in a composite heat conductor. (English) Zbl 0351.35048 Boll. Unione Mat. Ital., V. Ser., B 14, 190-202 (1977). MSC: 35K20 35B30 PDFBibTeX XMLCite \textit{J. R. Cannon} and \textit{R. E. Ewing}, Boll. Unione Mat. Ital., V. Ser., B 14, 190--202 (1977; Zbl 0351.35048)
Cannon, J. R.; Ewing, Richard E. A direct numerical procedure for the Cauchy problem for the heat equation. (English) Zbl 0339.65050 J. Math. Anal. Appl. 56, 7-17 (1976). MSC: 65M06 65M12 65M15 35K05 PDFBibTeX XMLCite \textit{J. R. Cannon} and \textit{R. E. Ewing}, J. Math. Anal. Appl. 56, 7--17 (1976; Zbl 0339.65050) Full Text: DOI
Cannon, J. R.; Ewing, Richard E. Determination of a source term in a linear parabolic partial differential equation. (English) Zbl 0323.35043 Z. angew. Math. Phys. 27, 393-401 (1976). MSC: 35K20 35B40 PDFBibTeX XMLCite \textit{J. R. Cannon} and \textit{R. E. Ewing}, Z. Angew. Math. Phys. 27, 393--401 (1976; Zbl 0323.35043) Full Text: DOI
Ewing, Richard E. Numerical solution of Sobolev partial differential equations. (English) Zbl 0355.65071 SIAM J. Numer. Anal. 12, 345-363 (1975). MSC: 65N06 65N12 65N15 35K15 35K20 PDFBibTeX XMLCite \textit{R. E. Ewing}, SIAM J. Numer. Anal. 12, 345--363 (1975; Zbl 0355.65071) Full Text: DOI
Ewing, Richard E. The approximation of certain parabolic equations backward in time by Sobolev equations. (English) Zbl 0292.35004 SIAM J. Math. Anal. 6, 283-294 (1975). MSC: 35A35 35K25 PDFBibTeX XMLCite \textit{R. E. Ewing}, SIAM J. Math. Anal. 6, 283--294 (1975; Zbl 0292.35004) Full Text: DOI