Bramble, James H.; Pasciak, Joseph E. Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\) and \(\mathbb R^3\). (English) Zbl 1268.65150 J. Comput. Appl. Math. 247, 209-230 (2013). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 35J05 65N12 76M10 76Q05 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, J. Comput. Appl. Math. 247, 209--230 (2013; Zbl 1268.65150) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E. Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. (English) Zbl 1277.78030 Int. J. Numer. Anal. Model. 9, No. 3, 543-561 (2012). MSC: 78M10 65F10 65N30 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, Int. J. Numer. Anal. Model. 9, No. 3, 543--561 (2012; Zbl 1277.78030) Full Text: Link
Bramble, James H.; Pasciak, Joseph E.; Trenev, Dimitar Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem. (English) Zbl 1273.74155 Math. Comput. 79, No. 272, 2079-2101 (2010). MSC: 74J20 65N30 74S05 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 79, No. 272, 2079--2101 (2010; Zbl 1273.74155) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E. A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: a priori estimates in \(H^1\). (English) Zbl 1146.35323 J. Math. Anal. Appl. 345, No. 1, 396-404 (2008). MSC: 35B45 35J55 74J05 35J05 35P25 65N30 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, J. Math. Anal. Appl. 345, No. 1, 396--404 (2008; Zbl 1146.35323) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E. Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem. (English) Zbl 1155.78316 Math. Comput. 77, No. 261, 1-10 (2008). MSC: 78M10 65F10 65N30 78A45 76Q05 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, Math. Comput. 77, No. 261, 1--10 (2008; Zbl 1155.78316) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E. Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems. (English) Zbl 1116.78019 Math. Comput. 76, No. 258, 597-614 (2007). Reviewer: Aleksander Pankov (Baltimore) MSC: 78M10 65F10 65N30 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, Math. Comput. 76, No. 258, 597--614 (2007; Zbl 1116.78019) Full Text: DOI
Bramble, J. H.; Kolev, T. V.; Pasciak, J. E. A least-squares approximation method for the time-harmonic Maxwell equations. (English) Zbl 1126.78016 J. Numer. Math. 13, No. 4, 237-263 (2005). MSC: 78M10 65N30 78A25 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., J. Numer. Math. 13, No. 4, 237--263 (2005; Zbl 1126.78016) Full Text: DOI
Bramble, James H.; Kolev, Tzanio V.; Pasciak, Joseph E. The approximation of the Maxwell eigenvalue problem using a least-squares method. (English) Zbl 1078.65100 Math. Comput. 74, No. 252, 1575-1598 (2005). Reviewer: Volker John (Saarbrücken) MSC: 65N25 65N30 35Q60 65N12 35P15 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 74, No. 252, 1575--1598 (2005; Zbl 1078.65100) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E. A new approximation technique for div-curl systems. (English) Zbl 1049.78026 Math. Comput. 73, No. 248, 1739-1762 (2004). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M30 78A30 65N30 65N55 78M10 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, Math. Comput. 73, No. 248, 1739--1762 (2004; Zbl 1049.78026) Full Text: DOI
Bacuta, C.; Bramble, J. H.; Xu, J. Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. (English) Zbl 1050.65108 J. Numer. Math. 11, No. 2, 75-94 (2003). Reviewer: Isaac Yevzerov (Kyïv) MSC: 65N30 35J05 46B70 65N12 PDFBibTeX XMLCite \textit{C. Bacuta} et al., J. Numer. Math. 11, No. 2, 75--94 (2003; Zbl 1050.65108) Full Text: DOI
Bramble, James H. Multilevel methods in finite elements. (English) Zbl 1036.65108 Canuto, Claudio (ed.), Multiscale problems and methods in numerical simulations. Lectures given at the C.I.M.E. summer school, Martina Franca, Italy, September 9–15, 2001. Berlin: Springer (ISBN 3-540-20099-1/pbk). Lect. Notes Math. 1825, 97-151 (2003). MSC: 65N55 65-02 35J05 65N30 65F10 65F35 PDFBibTeX XMLCite \textit{J. H. Bramble}, Lect. Notes Math. 1825, 97--151 (2003; Zbl 1036.65108)
Bacuta, Constantin; Bramble, James H.; Xu, Jinchao Regularity estimates for elliptic boundary value problems in Besov spaces. (English) Zbl 1031.65133 Math. Comput. 72, No. 244, 1577-1595 (2003). Reviewer: Pavel Burda (Praha) MSC: 65N30 65N15 46E35 46B70 35B65 35J25 PDFBibTeX XMLCite \textit{C. Bacuta} et al., Math. Comput. 72, No. 244, 1577--1595 (2003; Zbl 1031.65133) Full Text: DOI
Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E. Shift theorems for the biharmonic Dirichlet problem. (English) Zbl 1068.65134 Chan, Tony F. (ed.) et al., Recent progress in computational and applied PDEs. Conference proceedings for the international conference held in Zhangjiajie, China, July 1–7, 2001. New York, NY: Kluwer Academic / Plenum Publishers (ISBN 0-306-47420-4/hbk). 1-26 (2002). MSC: 65N30 35J40 46E35 47A57 PDFBibTeX XMLCite \textit{C. Bacuta} et al., in: Recent progress in computational and applied PDEs. Conference proceedings for the international conference held in Zhangjiajie, China, July 1--7, 2001. New York, NY: Kluwer Academic / Plenum Publishers. 1--26 (2002; Zbl 1068.65134)
Bacuta, C.; Bramble, J. H.; Pasciak, J. E. New interpolation results and applications to finite element methods for elliptic boundary value problems. (English) Zbl 0993.65128 East-West J. Numer. Math. 9, No. 3, 179-198 (2001). Reviewer: J.Vaníček (Praha) MSC: 65N30 41A05 41A63 35J25 PDFBibTeX XMLCite \textit{C. Bacuta} et al., East-West J. Numer. Math. 9, No. 3, 179--198 (2001; Zbl 0993.65128)
Bramble, James H.; Zhang, Xuejun Uniform convergence of the multigrid V-cycle for an anisotropic problem. (English) Zbl 0967.65104 Math. Comput. 70, No. 234, 453-470 (2001). Reviewer: Z.Dżygadło (Warszawa) MSC: 65N12 65F10 65N55 65N30 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{X. Zhang}, Math. Comput. 70, No. 234, 453--470 (2001; Zbl 0967.65104) Full Text: DOI
Bramble, James H.; Zhang, Xuejun The analysis of multigrid methods. (English) Zbl 0972.65103 Ciarlet, P. G. (ed.) et al., Solution of equations in \(\mathbb{R}^n\) (Part 3). Techniques of scientific computing (Part 3). Amsterdam: North-Holland/ Elsevier (ISBN 0-444-50350-1). Handbook of Numerical Analysis 7, 173-415 (2000). Reviewer: Thomas Sonar (Braunschweig) MSC: 65N55 65F10 35J25 65N30 65F35 35S15 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{X. Zhang}, Handb. Numer. Anal. 7, 173--415 (2000; Zbl 0972.65103)
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. Uzawa type algorithms for nonsymmetric saddle point problems. (English) Zbl 0951.65122 Math. Comput. 69, No. 230, 667-689 (2000). Reviewer: J.Vaníček (Praha) MSC: 65N30 65N06 35Q30 65F10 65N12 65F35 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 69, No. 230, 667--689 (2000; Zbl 0951.65122) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S. Computational scales of Sobolev norms with application to preconditioning. (English) Zbl 0941.65052 Math. Comput. 69, No. 230, 463-480 (2000). Reviewer: F.Szidarovszky (Tucson) MSC: 65J10 65F10 65F35 35S15 47A50 65N30 65N55 65J20 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 69, No. 230, 463--480 (2000; Zbl 0941.65052) 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
Bramble, James H.; Sun, Tong A locking-free finite element method for Naghdi shells. (English) Zbl 0913.73065 J. Comput. Appl. Math. 89, No. 1, 119-133 (1998). MSC: 74S05 74K15 65N15 65N30 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{T. Sun}, J. Comput. Appl. Math. 89, No. 1, 119--133 (1998; Zbl 0913.73065) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. Analysis of non-overlapping domain decomposition algorithms with inexact solves. (English) Zbl 0902.65067 Math. Comput. 67, No. 221, 1-19 (1998). Reviewer: M.Bernadou (Le Chesnay) MSC: 65N55 65M55 35K15 65F10 35J25 65F35 65N30 65M60 65N06 65M06 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 67, No. 221, 1--19 (1998; Zbl 0902.65067) Full Text: DOI
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
Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. Analysis of the inexact Uzawa algorithm for saddle point problems. (English) Zbl 0873.65031 SIAM J. Numer. Anal. 34, No. 3, 1072-1092 (1997). MSC: 65F10 35Q30 65N06 35J25 65N30 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., SIAM J. Numer. Anal. 34, No. 3, 1072--1092 (1997; Zbl 0873.65031) Full Text: DOI
Bramble, James H.; King, J. Thomas A finite element method for interface problems in domains with smooth boundaries and interfaces. (English) Zbl 0868.65081 Adv. Comput. Math. 6, No. 2, 109-138 (1996). Reviewer: V.V.Kobkov (Novosibirsk) MSC: 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. T. King}, Adv. Comput. Math. 6(1996), No. 2, 109--138 (1996; Zbl 0868.65081) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E. Least-squares methods for Stokes equations based on a discrete minus one inner product. (English) Zbl 0867.65055 J. Comput. Appl. Math. 74, No. 1-2, 155-173 (1996). Reviewer: I.N.Katz (St.Louis) MSC: 65N30 65F35 74S05 74B05 35J25 76M10 76D07 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, J. Comput. Appl. Math. 74, No. 1--2, 155--173 (1996; Zbl 0867.65055) Full Text: DOI
Bramble, J. H.; Pasciak, J. E.; Zhang, Xuejun Two-level preconditioners for \(2m\)’th order elliptic finite element problems. (English) Zbl 0860.65120 East-West J. Numer. Math. 4, No. 2, 99-120 (1996). Reviewer: P.Chocholatý (Bratislava) MSC: 65N55 65N30 35J25 65F35 35J40 31A30 65F10 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., East-West J. Numer. Math. 4, No. 2, 99--120 (1996; Zbl 0860.65120)
Bramble, James H. Interpolation between Sobolev spaces in Lipschitz domains with an application to multigrid theory. (English) Zbl 0849.65086 Math. Comput. 64, No. 212, 1359-1365 (1995). Reviewer: W.Petry (Düsseldorf) MSC: 65N55 65N30 65N15 35S15 35J05 65F10 PDFBibTeX XMLCite \textit{J. H. Bramble}, Math. Comput. 64, No. 212, 1359--1365 (1995; Zbl 0849.65086) Full Text: DOI
Bramble, James H.; Zhang, Xuejun Multigrid methods for the biharmonic problem discretized by conforming \(C^ 1\) finite elements on nonnested meshes. (English) Zbl 0842.65081 Numer. Funct. Anal. Optimization 16, No. 7-8, 835-846 (1995). Reviewer: R.Blaheta (Ostrava) MSC: 65N55 65F10 31A30 35J40 65N12 65N30 65F35 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{X. Zhang}, Numer. Funct. Anal. Optim. 16, No. 7--8, 835--846 (1995; Zbl 0842.65081) Full Text: DOI
Bramble, James H. On the development of multigrid methods and their analysis. (English) Zbl 0815.65124 Gautschi, Walter (ed.), Mathematics of computation, 1943-1993: a half- century of computational mathematics. Mathematics of computation 50th anniversary symposium, August 9-13, 1993, Vancouver, Canada. Providence, RI: American Mathematical Society. Proc. Symp. Appl. Math. 48, 5-19 (1994). MSC: 65N55 65-02 65N30 65F10 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble}, Proc. Symp. Appl. Math. 48, 5--19 (1994; Zbl 0815.65124)
Bramble, James H.; Kwak, Do Y.; Pasciak, Joseph E. Uniform convergence of multigrid \(V\)-cycle iterations for indefinite and nonsymmetric problems. (English) Zbl 0813.65130 SIAM J. Numer. Anal. 31, No. 6, 1746-1763 (1994). Reviewer: I.Evzerov (Kiev) MSC: 65N55 65F10 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., SIAM J. Numer. Anal. 31, No. 6, 1746--1763 (1994; Zbl 0813.65130) Full Text: DOI
Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E. The analysis of multigrid algorithms for pseudodifferential operators of order minus one. (English) Zbl 0812.65110 Math. Comput. 63, No. 208, 461-478 (1994). Reviewer: J.Elschner (Berlin) MSC: 65N55 65N30 65F10 35S15 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 63, No. 208, 461--478 (1994; Zbl 0812.65110) Full Text: DOI
Bramble, James H.; King, J. Thomas A robust finite element method for nonhomogeneous Dirichlet problems in domains with curved boundaries. (English) Zbl 0810.65104 Math. Comput. 63, No. 207, 1-17 (1994). Reviewer: Myron Sussman (Bethel Park) MSC: 65N30 65N12 65N55 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. T. King}, Math. Comput. 63, No. 207, 1--17 (1994; Zbl 0810.65104) Full Text: DOI
Bramble, J. H.; Goldstein, C. I.; Pasciak, J. E. Analysis of V-cycle multigrid algorithms for forms defined by numerical quadrature. (English) Zbl 0802.65121 SIAM J. Sci. Comput. 15, No. 3, 566-576 (1994). Reviewer: A.Swift (Palmerston North) MSC: 65N55 65F10 65N30 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., SIAM J. Sci. Comput. 15, No. 3, 566--576 (1994; Zbl 0802.65121) Full Text: DOI Link
Bramble, James H.; Pasciak, Joseph E. Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity. (English) Zbl 0797.65085 Quarteroni, Alfio (ed.) et al., Domain decomposition methods in science and engineering. The sixth international conference on domain decomposition, Como, Italy, June 15-19, 1992. Providence, RI: American Mathematical Society. Contemp. Math. 157, 17-26 (1994). Reviewer: I.N.Katz (St.Louis) MSC: 65N30 65F10 65N12 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, Contemp. Math. 157, 17--26 (1994; Zbl 0797.65085)
Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E. Iterative schemes for nonsymmetric and indefinite elliptic boundary value problems. (English) Zbl 0795.65071 Math. Comput. 60, No. 201, 1-22 (1993). MSC: 65N30 65F10 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 60, No. 201, 1--22 (1993; Zbl 0795.65071) Full Text: DOI
Bramble, James H. Multigrid methods. (English) Zbl 0786.65094 Pitman Research Notes in Mathematics Series. 294. Harlow: Longman Scientific & Technical. viii, 161 p. (1993). Reviewer: S.F.McCormick (Denver) MSC: 65N55 65F10 65N30 65N50 65N38 35J25 65-02 PDFBibTeX XMLCite \textit{J. H. Bramble}, Multigrid methods. Harlow: Longman Scientific \& Technical (1993; Zbl 0786.65094)
Bramble, James H.; Pasciak, Joseph E. New estimates for multilevel algorithms including the V-cycle. (English) Zbl 0783.65081 Math. Comput. 60, No. 202, 447-471 (1993). Reviewer: U.Langer (Chemnitz) MSC: 65N55 65F10 65N30 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, Math. Comput. 60, No. 202, 447--471 (1993; Zbl 0783.65081) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E. The analysis of smoothers for multigrid algorithms. (English) Zbl 0771.65082 Math. Comput. 58, No. 198, 467-488 (1992). Reviewer: L.Boubelíková (Praha) MSC: 65N55 65F10 65N30 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, Math. Comput. 58, No. 198, 467--488 (1992; Zbl 0771.65082) Full Text: DOI
Bramble, James H.; Xu, Jinchao Some estimates for a weighted \(L^ 2\) projection. (English) Zbl 0722.65057 Math. Comput. 56, No. 194, 463-476 (1991). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N15 65N30 65N55 35J25 65F10 65F35 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. Xu}, Math. Comput. 56, No. 194, 463--476 (1991; Zbl 0722.65057) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. (English) Zbl 0718.65081 Math. Comput. 56, No. 193, 1-34 (1991). Reviewer: K.Finck von Finckenstein (Darmstadt) MSC: 65N55 65N06 65N30 65F10 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 56, No. 193, 1--34 (1991; Zbl 0718.65081) 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 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)
Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao Convergence estimates for product iterative methods with applications to domain decomposition. (English) Zbl 0754.65085 Math. Comput. 57, No. 195, 1-21 (1991). Reviewer: T.Potra (Cluj-Napoca) MSC: 65N30 65N55 65F10 65N15 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 57, No. 195, 1--21 (1991; Zbl 0754.65085) Full Text: DOI
Bramble, J. H.; Pasciak, J. E.; Xu, J. Parallel multilevel preconditioners. (English) Zbl 0725.65095 Numerical analysis, Proc. 13th Biennial Conf., Dundee/UK 1989, Pitman Res. Notes Math. Ser. 228, 23-39 (1990). Reviewer: E.D’yakonov (Moskva) MSC: 65N30 65N22 65F10 65F35 35J25 65Y05 PDFBibTeX XML
Bramble, James H.; Pasciak, Joseph E. A domain decomposition technique for Stokes problems. (English) Zbl 0691.76031 Appl. Numer. Math. 6, No. 4, 251-261 (1990). MSC: 76D08 65N30 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, Appl. Numer. Math. 6, No. 4, 251--261 (1990; Zbl 0691.76031) Full Text: DOI
Bramble, James H.; Xu, Jinchao A local post-processing technique for improving the accuracy in mixed finite-element approximations. (English) Zbl 0688.65061 SIAM J. Numer. Anal. 26, No. 6, 1267-1275 (1989). Reviewer: U.Langer MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. Xu}, SIAM J. Numer. Anal. 26, No. 6, 1267--1275 (1989; Zbl 0688.65061) Full Text: DOI
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
Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H. The construction of preconditioners for elliptic problems by substructuring. IV. (English) Zbl 0668.65082 Math. Comput. 53, No. 187, 1-24 (1989). MSC: 65N30 65F35 65F10 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 53, No. 187, 1--24 (1989; Zbl 0668.65082) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H. The construction of preconditioners for elliptic problems by substructuring. III. (English) Zbl 0701.65070 Math. Comput. 51, No. 184, 415-430 (1988). MSC: 65N30 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 51, No. 184, 415--430 (1988; Zbl 0701.65070) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems. (English) Zbl 0699.65075 Math. Comput. 51, No. 184, 389-414 (1988). MSC: 65N30 65F10 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 51, No. 184, 389--414 (1988; Zbl 0699.65075) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E. A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. (English) Zbl 0649.65061 Math. Comput. 51, No. 183, 387-388 (1988). MSC: 65N30 65F10 35J25 65F35 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, Math. Comput. 51, No. 183, 387--388 (1988; Zbl 0649.65061) Full Text: DOI
Bramble, James H.; Pasciak, Joseph E. A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. (English) Zbl 0643.65017 Math. Comput. 50, No. 181, 1-17 (1988). Reviewer: M.A.Ibiejugba MSC: 65F10 65F35 65N30 35J20 76D07 74B05 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, Math. Comput. 50, No. 181, 1--17 (1988; Zbl 0643.65017) Full Text: DOI
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. The construction of preconditioners for elliptic problems by substructuring. II. (English) Zbl 0623.65118 Math. Comput. 49, 1-16 (1987). MSC: 65N30 65F10 35J25 65F35 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 49, 1--16 (1987; Zbl 0623.65118) Full Text: DOI
Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. The construction of preconditioners for elliptic problems by substructuring. I. (English) Zbl 0615.65112 Math. Comput. 47, 103-134 (1986). Reviewer: I.H.Mufti MSC: 65N30 65F10 35J25 65F35 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 47, 103--134 (1986; Zbl 0615.65112) Full Text: DOI
Bramble, J. H. The construction of preconditioners for elliptic problems by substructuring. (English) Zbl 0611.65072 Numerical analysis, Proc. 4th IIMAS Workshop, Guanajuato/Mex. 1984, Lect. Notes Math. 1230, 158-166 (1986). MSC: 65N30 65F10 35J25 65F35 PDFBibTeX XML
Bramble, J. H. The construction of preconditioners for elliptic problems by substructuring. (English) Zbl 0671.65026 Differential geometry and differential equations, Proc. Symp., Beijing/China 1984, 31-41 (1985). MSC: 65F10 65F35 65N30 35J25 PDFBibTeX XML
Bramble, James H.; Pasciak, Joseph E. A boundary parametric approximation to the linearized scalar potential magnetostatic field problem. (English) Zbl 0619.65113 Appl. Numer. Math. 1, 493-514 (1985). MSC: 65Z05 65N30 78A30 35J05 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Pasciak}, Appl. Numer. Math. 1, 493--514 (1985; Zbl 0619.65113) Full Text: DOI
Bramble, James H.; Falk, Richard S. A mixed-Lagrange multiplier finite element method for the polyharmonic equation. (English) Zbl 0591.65073 RAIRO, Modélisation Math. Anal. Numér. 19, 519-557 (1985). Reviewer: N.F.F.Ebecken MSC: 65N30 65N15 31A30 35J40 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{R. S. Falk}, RAIRO, Modélisation Math. Anal. Numér. 19, 519--557 (1985; Zbl 0591.65073) Full Text: DOI EuDML
Bramble, J. H.; Pasciak, J. E. Preconditioned iterative methods for nonselfadjoint or indefinite elliptic boundary value problems. (English) Zbl 0544.65075 Unification of finite element methods, North-Holland Math. Stud. 94, 167-184 (1984). MSC: 65N30 65F10 35J25 PDFBibTeX XML
Bramble, James H. The Lagrange multiplier method for Dirichlet’s problem. (English) Zbl 0477.65077 Math. Comput. 37, 1-11 (1981). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble}, Math. Comput. 37, 1--11 (1981; Zbl 0477.65077) Full Text: DOI
Bramble, James H.; Sammon, Peter H. Efficient higher order single step methods for parabolic problems. I. (English) Zbl 0476.65072 Math. Comput. 35, 655-677 (1980). MSC: 65N30 65N15 35K20 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{P. H. Sammon}, Math. Comput. 35, 655--677 (1980; Zbl 0476.65072) Full Text: DOI
Bramble, James H. Discrete methods for parabolic equations with time-dependent coefficients. (English) Zbl 0449.65076 Numerical methods for partial differential equations, Proc. adv. Semin., Madison 1978, 41-52 (1979). MSC: 65N30 35K15 35K20 PDFBibTeX XML
Baker, Garth A.; Bramble, James H. Semidiscrete and single step fully discrete approximations for second order hyperbolic equations. (English) Zbl 0405.65057 RAIRO, Anal. Numér. 13, 75-100 (1979). MSC: 65N30 65N12 35L15 35L20 PDFBibTeX XMLCite \textit{G. A. Baker} and \textit{J. H. Bramble}, RAIRO, Anal. Numér. 13, 75--100 (1979; Zbl 0405.65057) Full Text: DOI EuDML
Bramble, James H.; Scott, Ridgway Simultaneous approximation in scales of Banach spaces. (English) Zbl 0404.41005 Math. Comput. 32, 947-954 (1978). MSC: 41A15 65N30 41A65 41A63 41A25 46E35 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{R. Scott}, Math. Comput. 32, 947--954 (1978; Zbl 0404.41005) Full Text: DOI
Baker, Garth A.; Bramble, James H.; Thomee, Vidar Single step Galerkin approximations for parabolic problems. (English) Zbl 0378.65061 Math. Comput. 31, 818-847 (1977). MSC: 65N30 65M12 35K20 65N12 PDFBibTeX XMLCite \textit{G. A. Baker} et al., Math. Comput. 31, 818--847 (1977; Zbl 0378.65061) Full Text: DOI
Bramble, J. H.; Schatz, A. H.; Thomee, V.; Wahlbin, L. B. Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations. (English) Zbl 0364.65084 SIAM J. Numer. Anal. 14, 218-241 (1977). MSC: 65N30 65N15 65N12 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., SIAM J. Numer. Anal. 14, 218--241 (1977; Zbl 0364.65084) Full Text: DOI
Bramble, James H.; Schatz, Alfred H. Higher order local accuracy by averaging in the finite element method. (English) Zbl 0353.65064 Math. Comput. 31, 94-111 (1977). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{A. H. Schatz}, Math. Comput. 31, 94--111 (1977; Zbl 0353.65064) Full Text: DOI
Bramble, James H.; Schatz, Alfred H. Estimates for spline projections. (English) Zbl 0343.65045 Rev. Franc. Automat. Inform. Rech. Operat. 10, Analyse numer., No. 8(R-2), 5-37 (1976). MSC: 65N30 65J05 65D05 41A15 41A25 41A63 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{A. H. Schatz}, Rev. Franc. Automat. Inform. Rech. Operat., R 10, No. 2, 5--37 (1976; Zbl 0343.65045) Full Text: EuDML
Bramble, James H. Convergence in the maximum norm of spline approximations to elliptic boundary value problems. (English) Zbl 0362.41008 Proc. int. Congr. Math., Vancouver 1974, Vol. 2, 405-409 (1975). MSC: 41A15 65N15 65B99 65N30 PDFBibTeX XML
Bramble, James H.; Nitsche, Joachim A.; Schatz, Alfred H. Maximum-norm interior estimates for Ritz-Galerkin methods. (English) Zbl 0316.65023 Math. Comput. 29, 677-688 (1975). MSC: 65N15 65N30 35J05 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 29, 677--688 (1975; Zbl 0316.65023) Full Text: DOI
Bramble, James H.; Schatz, Alfred H. Higher order local accuracy by averaging in the finite element method. (English) Zbl 0357.65081 Math. Aspects finite Elem. partial Differ. Equat., Proc. Symp. Madison 1974, 1-14 (1974). MSC: 65N30 35J05 35J50 PDFBibTeX XML
Bramble, James H.; Thomee, Vidar Discrete time Galerkin methods for a parabolic boundary value problem. (English) Zbl 0306.65073 Ann. Mat. Pura Appl., IV. Ser. 101, 115-152 (1974). MSC: 65N30 65M15 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{V. Thomee}, Ann. Mat. Pura Appl. (4) 101, 115--152 (1974; Zbl 0306.65073) Full Text: DOI
Bramble, J. H.; Thomee, V. Interior maximum norm estimates for some simple finite element methods. (English) Zbl 0301.65065 Rev. Franc. Automat. Inform. Rech. Operat. 8, Analyse numer., R-2, 5-18 (1974). MSC: 65N30 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{V. Thomee}, Rev. Franc. Automat. Inform. Rech. Operat., R 8, No. 2, 5--18 (1974; Zbl 0301.65065) Full Text: EuDML
Bramble, J. H.; Osborn, J. E. Rate of convergence estimates for nonselfadjoint eigenvalue approximations. (English) Zbl 0305.65064 Math. Comput. 27, 525-549 (1973). MSC: 65N15 35P15 65N25 65N30 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{J. E. Osborn}, Math. Comput. 27, 525--549 (1973; Zbl 0305.65064) Full Text: DOI
bramble, James H.; Nitsche, Joachim A. A generalized Ritz-least-squares method for Dirichlet problems. (English) Zbl 0287.65056 SIAM J. Numer. Anal. 10, 81-93 (1973). MSC: 65N30 65N35 PDFBibTeX XMLCite \textit{J. H. bramble} and \textit{J. A. Nitsche}, SIAM J. Numer. Anal. 10, 81--93 (1973; Zbl 0287.65056) Full Text: DOI
Bramble, James H.; Dupont, Todd; Thomee, Vidar Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections. (English) Zbl 0279.65094 Math. Comput. 26, 869-879 (1972). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{J. H. Bramble} et al., Math. Comput. 26, 869--879 (1972; Zbl 0279.65094) Full Text: DOI
Bramble, James H.; Schatz, Alfred H. On the numerical solution of elliptic boundary value problems by least squares approximation of the data. (English) Zbl 0389.65050 Numerical Solution partial diff. Equations II, Proc. 2nd Sympos. numerical Solution partial diff. Equations, SYNSPADE 1970, Univ. Maryland, 107-131 (1971). MSC: 65N30 35J25 PDFBibTeX XML
Bramble, James H.; Zlámal, Miloš Triangular elements in the finite element method. (English) Zbl 0226.65073 Math. Comput. 24(1970), 809-820 (1971). MSC: 65N30 65M99 65N99 35J25 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{M. Zlámal}, Math. Comput. 24, 809--820 (1971; Zbl 0226.65073) Full Text: DOI
Bramble, James H.; Schatz, Alfred H. Least squares methods for 2mth order elliptic boundary-value problems. (English) Zbl 0216.49202 Math. Comput. 25, 1-32 (1971). MSC: 65N30 65N15 35J25 35J20 PDFBibTeX XMLCite \textit{J. H. Bramble} and \textit{A. H. Schatz}, Math. Comput. 25, 1--32 (1971; Zbl 0216.49202) Full Text: DOI