Edit Profile (opens in new tab) Bramble, James H. Compute Distance To: Compute Author ID: bramble.james-h Published as: Bramble, James H.; Bramble, J. H.; bramble, James H. more...less Homepage: https://www.math.tamu.edu/~james.bramble/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 154 Publications since 1958, including 1 Book 1 Contribution as Editor · 1 Further Contribution Co-Authors: 37 Co-Authors with 128 Joint Publications 1,147 Co-Co-Authors all top 5 Co-Authors 27 single-authored 55 Pasciak, Joseph E. 20 Payne, Lawrence Edward 15 Schatz, Alfred H. 12 Hubbard, B. E. 11 Xu, Jinchao 10 Thomée, Vidar 6 Bacuta, Constantin 6 Ewing, Richard Edward 4 Zhang, Xuejun 3 Lazarov, Raytcho D. 3 Parashkevov, Rossen R. 3 Vassilev, Apostol T. 2 Baker, Garth A. 2 Falk, Richard S. 2 Hilbert, Stephen R. 2 King, John-Thomas 2 Kolev, Tzanio V. 2 Leyk, Zbigniew 2 Nitsche, Joachim A. 2 Osborn, John E. 2 Sammon, Peter H. 2 Sun, Tong 2 Wang, Junping 2 Zlámal, Miloš A. 1 Canuto, Claudio 1 Cohen, Albert 1 Dahmen, Wolfgang A. 1 Dupont, Todd F. 1 Goldstein, Charles I. 1 Kellogg, Bruce 1 Knyazev, Andrew V. 1 Kwak, Do Young 1 Lee, Ping 1 Li, Gang 1 Scott, Larkin Ridgway 1 Shen, Jian 1 Steinbach, Olaf 1 Trenev, Dimitar 1 Vassilevski, Panayot Spirov 1 Wahlbin, Lars B. all top 5 Serials 48 Mathematics of Computation 11 SIAM Journal on Numerical Analysis 6 Journal of Research of the National Bureau of Standards 4 Journal of Mathematical Analysis and Applications 4 Numerische Mathematik 3 Archive for Rational Mechanics and Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational and Applied Mathematics 3 Advances in Computational Mathematics 3 Journal of Mathematics and Physics 2 Pacific Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 RAIRO. Analyse Numérique 2 Applied Numerical Mathematics 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 East-West Journal of Numerical Mathematics 2 Journal of Numerical Mathematics 2 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Duke Mathematical Journal 1 Journal of the Association for Computing Machinery 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 SIAM Journal on Scientific and Statistical Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 International Journal of Numerical Analysis and Modeling 1 Journal of Mathematics and Mechanics 1 Journal of the Society for Industrial & Applied Mathematics 1 Acta Facultatis Rerum Naturalium Universitatis Comenianae. Mathematica 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Lecture Notes in Mathematics 1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis all top 5 Fields 103 Numerical analysis (65-XX) 78 Partial differential equations (35-XX) 11 Mechanics of deformable solids (74-XX) 9 Fluid mechanics (76-XX) 6 Optics, electromagnetic theory (78-XX) 4 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 3 Potential theory (31-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 142 Publications have been cited 3,958 times in 2,684 Documents Cited by ▼ Year ▼ Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 210 1997 A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081Bramble, James H.; King, J. Thomas 160 1996 Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. Zbl 0201.07803Bramble, J. H.; Hilbert, S. R. 158 1970 The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. 154 1986 Parallel multilevel preconditioners. Zbl 0703.65076Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 143 1990 A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017Bramble, James H.; Pasciak, Joseph E. 121 1988 Higher order local accuracy by averaging in the finite element method. Zbl 0353.65064Bramble, James H.; Schatz, Alfred H. 111 1977 Multigrid methods. Zbl 0786.65094Bramble, James H. 102 1993 Bounds for a class of linear functionals with applications to Hermite interpolation. Zbl 0214.41405Bramble, J. H.; Hilbert, S. R. 96 1971 Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 82 1991 Some estimates for a weighted \(L^ 2\) projection. Zbl 0722.65057Bramble, James H.; Xu, Jinchao 74 1991 A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 72 1997 Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 71 1991 On the stability of the \(L^2\) projection in \(H^1(\omega)\). Zbl 0989.65122Bramble, James H.; Pasciak, Joseph E.; Steinbach, Olaf 70 2002 New convergence estimates for multigrid algorithms. Zbl 0659.65098Bramble, James H.; Pasciak, Joseph E. 65 1987 Rate of convergence estimates for nonselfadjoint eigenvalue approximations. Zbl 0305.65064Bramble, J. H.; Osborn, J. E. 65 1973 An iterative method for elliptic problems on regions partitioned into substructures. Zbl 0595.65111Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. 64 1986 The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 63 1991 Triangular elements in the finite element method. Zbl 0226.65073Bramble, James H.; Zlámal, Miloš 63 1971 Uzawa type algorithms for nonsymmetric saddle point problems. Zbl 0951.65122Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 60 2000 On a finite difference analogue of an elliptic boundary problem which is neither diagonally dominant nor of non-negative type. Zbl 0126.32305Bramble, J. H.; Hubbard, B. E. 60 1964 The analysis of multigrid methods. Zbl 0972.65103Bramble, James H.; Zhang, Xuejun 59 2000 New estimates for multilevel algorithms including the V-cycle. Zbl 0783.65081Bramble, James H.; Pasciak, Joseph E. 55 1993 Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations. Zbl 0364.65084Bramble, J. H.; Schatz, A. H.; Thomee, V.; Wahlbin, L. B. 55 1977 On the formulation of finite difference analogues of the Dirichlet problem for Poisson’s equation. Zbl 0135.18102Bramble, J. H.; Hubbard, B. E. 46 1962 The construction of preconditioners for elliptic problems by substructuring. II. Zbl 0623.65118Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. 44 1987 Semidiscrete and single step fully discrete approximations for second order hyperbolic equations. Zbl 0405.65057Baker, Garth A.; Bramble, James H. 43 1979 A preconditioning technique for the efficient solution of problems with local grid refinement. Zbl 0619.76113Bramble, James H.; Ewing, Richard E.; Pasciak, Joseph E.; Schatz, Alfred H. 42 1988 Parallel multilevel preconditioners. Zbl 0725.65095Bramble, J. H.; Pasciak, J. E.; Xu, J. 41 1990 Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems. Zbl 1116.78019Bramble, James H.; Pasciak, Joseph E. 40 2007 Uniform convergence of multigrid \(V\)-cycle iterations for indefinite and nonsymmetric problems. Zbl 0813.65130Bramble, James H.; Kwak, Do Y.; Pasciak, Joseph E. 39 1994 The construction of preconditioners for elliptic problems by substructuring. IV. Zbl 0668.65082Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H. 39 1989 Rayleigh-Rith-Galerkin methods for Dirichlet’s problem using subspaces without boundary conditions. Zbl 0204.11102Bramble, James H.; Schatz, Alfred H. 39 1970 Least squares methods for 2mth order elliptic boundary-value problems. Zbl 0216.49202Bramble, James H.; Schatz, Alfred H. 39 1971 The analysis of smoothers for multigrid algorithms. Zbl 0771.65082Bramble, James H.; Pasciak, Joseph E. 38 1992 Iterative techniques for time dependent Stokes problems. Zbl 1030.76506Bramble, J. H.; Pasciak, J. E. 37 1997 A robust finite element method for nonhomogeneous Dirichlet problems in domains with curved boundaries. Zbl 0810.65104Bramble, James H.; King, J. Thomas 36 1994 A new approximation technique for div-curl systems. Zbl 1049.78026Bramble, James H.; Pasciak, Joseph E. 35 2004 Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S. 35 2000 Least-squares methods for Stokes equations based on a discrete minus one inner product. Zbl 0867.65055Bramble, James H.; Pasciak, Joseph E. 32 1996 New monotone type approximations for elliptic problems. Zbl 0124.33006Bramble, J. H.; Hubbard, B. E. 30 1964 Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections. Zbl 0279.65094Bramble, James H.; Dupont, Todd; Thomee, Vidar 28 1972 Approximation of Steklov eigenvalues of non-selfadjoint second order elliptic operators. Zbl 0264.35055Bramble, J. H.; Osborn, J. E. 27 1972 A proof of the inf-sup condition for the Stokes equations on Lipschitz domains. Zbl 1073.35184Bramble, James H. 26 2003 Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains. Zbl 1032.74026Bacuta, C.; Bramble, J. H. 26 2003 Single step Galerkin approximations for parabolic problems. Zbl 0378.65061Baker, Garth A.; Bramble, James H.; Thomee, Vidar 26 1977 The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems. Zbl 0699.65075Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 26 1988 A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Zbl 0879.65024Bramble, James H.; Pasciak, Joseph E.; Knyazev, Andrew V. 26 1996 Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005Bramble, James H.; Scott, Ridgway 25 1978 Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem. Zbl 1273.74155Bramble, James H.; Pasciak, Joseph E.; Trenev, Dimitar 25 2010 Regularity estimates for elliptic boundary value problems in Besov spaces. Zbl 1031.65133Bacuta, Constantin; Bramble, James H.; Xu, Jinchao 24 2003 A domain decomposition technique for Stokes problems. Zbl 0691.76031Bramble, James H.; Pasciak, Joseph E. 24 1990 A second order finite difference analog of the first biharmonic boundary value problem. Zbl 0154.41105Bramble, J. H. 23 1966 Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem. Zbl 1155.78316Bramble, James H.; Pasciak, Joseph E. 21 2008 The construction of preconditioners for elliptic problems by substructuring. III. Zbl 0701.65070Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H. 21 1988 Efficient higher order single step methods for parabolic problems. I. Zbl 0476.65072Bramble, James H.; Sammon, Peter H. 21 1980 A generalized Ritz-least-squares method for Dirichlet problems. Zbl 0287.65056bramble, James H.; Nitsche, Joachim A. 20 1973 A local post-processing technique for improving the accuracy in mixed finite-element approximations. Zbl 0688.65061Bramble, James H.; Xu, Jinchao 20 1989 Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data. Zbl 0663.65110Bramble, James H.; Pasciak, Joseph E.; Sammon, Peter H.; Thomée, Vidar 18 1989 Least-quares for second-order elliptic problems. Zbl 0944.65119Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 18 1998 Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\) and \(\mathbb R^3\). Zbl 1268.65150Bramble, James H.; Pasciak, Joseph E. 18 2013 A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0649.65061Bramble, James H.; Pasciak, Joseph E. 17 1988 The Lagrange multiplier method for Dirichlet’s problem. Zbl 0477.65077Bramble, James H. 17 1981 The approximation of the Maxwell eigenvalue problem using a least-squares method. Zbl 1078.65100Bramble, James H.; Kolev, Tzanio V.; Pasciak, Joseph E. 17 2005 Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108Bacuta, C.; Bramble, J. H.; Xu, J. 16 2003 A theorem on error estimation for finite difference analogues of the Dirichlet problem for elliptic equations. Zbl 0196.50901Bramble, J. H.; Hubbard, B. E. 16 1963 Convergence estimates for essentially positive tpye discrete Dirichlet problems. Zbl 0217.21902Bramble, J. H.; Hubbard, B. E.; Thomée, V. 16 1969 Semidiscrete-least squares methods for a parabolic boundary value problem. Zbl 0268.65060Bramble, James H.; Thomee, Vidar 16 1972 Some inequalities for vector functions with applications in elasticity. Zbl 0109.16806Bramble, J. H.; Payne, L. E. 16 1962 Bounds in the Neumann problem for second order uniformly elliptic operators. Zbl 0111.09701Bramble, J. H.; Payne, L. E. 16 1962 Maximum-norm interior estimates for Ritz-Galerkin methods. Zbl 0316.65023Bramble, James H.; Nitsche, Joachim A.; Schatz, Alfred H. 15 1975 Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030Bramble, James H.; Pasciak, Joseph E. 14 2012 The analysis of multigrid algorithms for pseudodifferential operators of order minus one. Zbl 0812.65110Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E. 14 1994 Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 14 2001 Approximation of solutions of mixed boundary value problems for Poisson’s equation by finite differences. Zbl 0125.07305Bramble, J. H.; Hubbard, B. E. 14 1965 Uniform convergence of the multigrid V-cycle for an anisotropic problem. Zbl 0967.65104Bramble, James H.; Zhang, Xuejun 13 2001 Discrete time Galerkin methods for a parabolic boundary value problem. Zbl 0306.65073Bramble, James H.; Thomee, Vidar 13 1974 Using finite element tools in proving shift theorems for elliptic boundary value problems. Zbl 1071.65559Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E. 13 2003 New interpolation results and applications to finite element methods for elliptic boundary value problems. Zbl 0993.65128Bacuta, C.; Bramble, J. H.; Pasciak, J. E. 12 2001 A negative-norm least squares method for Reissner-Mindlin plates. Zbl 0899.73544Bramble, James H.; Sun, Tong 12 1998 Multigrid methods for the biharmonic problem discretized by conforming \(C^ 1\) finite elements on nonnested meshes. Zbl 0842.65081Bramble, James H.; Zhang, Xuejun 11 1995 Estimates for spline projections. Zbl 0343.65045Bramble, James H.; Schatz, Alfred H. 11 1976 Bounds for solutions of second-order elliptic partial differential equations. Zbl 0141.09801Bramble, J. H.; Payne, L. E. 11 1963 A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016Bramble, J. H.; Kolev, T. V.; Pasciak, J. E. 10 2005 Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity. Zbl 0797.65085Bramble, James H.; Pasciak, Joseph E. 10 1994 The analysis of multigrid algorithms for cell centered finite difference methods. Zbl 0848.65082Bramble, James H.; Ewing, Richard E.; Pasciak, Joseph E.; Shen, Jian 10 1996 A priori bounds in the first boundary value problem in elasticity. Zbl 0104.35102Bramble, J. H.; Payne, L. E. 10 1961 A finite difference analog of the Neumann problem for Poisson’s equation. Zbl 0141.33201Bramble, J. H.; Hubbard, B. E. 10 1965 Pointwise bounds for discrete Green’s functions. Zbl 0212.17904Bramble, J. H.; Thomée, V. 9 1969 Analysis of non-overlapping domain decomposition algorithms with inexact solves. Zbl 0902.65067Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 8 1998 A locking-free finite element method for Naghdi shells. Zbl 0913.73065Bramble, James H.; Sun, Tong 8 1998 Interpolation between Sobolev spaces in Lipschitz domains with an application to multigrid theory. Zbl 0849.65086Bramble, James H. 8 1995 Preconditioned iterative methods for nonselfadjoint or indefinite elliptic boundary value problems. Zbl 0544.65075Bramble, J. H.; Pasciak, J. E. 8 1984 Continuation of biharmonic functions across circular arcs. Zbl 0087.30603Bramble, James H. 8 1958 Error estimates for difference methods in forced vibration problems. Zbl 0146.13804Bramble, J. H. 8 1966 Domain decomposition methods for problems with partial refinement. Zbl 0746.65084Bramble, James H.; Ewing, Richard E.; Parashkevov, Rossen R.; Pasciak, Joseph E. 7 1992 On variational formulations for the Stokes equations with nonstandard boundary conditions. Zbl 0819.76063Bramble, James H.; Lee, Ping 7 1994 Shift theorems for the biharmonic Dirichlet problem. Zbl 1068.65134Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E. 7 2002 Discrete analogues of the Dirichlet problem with isolated singularities. Zbl 0176.46902Bramble, J. H.; Hubbard, B. E.; Zlamal, M. 7 1968 Effects of boundary regularity on the discretization error in the fixed membrane eigenvalue problem. Zbl 0182.50104Bramble, J. H.; Hubbard, B. E. 7 1969 Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\) and \(\mathbb R^3\). Zbl 1268.65150Bramble, James H.; Pasciak, Joseph E. 18 2013 Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030Bramble, James H.; Pasciak, Joseph E. 14 2012 Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem. Zbl 1273.74155Bramble, James H.; Pasciak, Joseph E.; Trenev, Dimitar 25 2010 Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem. Zbl 1155.78316Bramble, James H.; Pasciak, Joseph E. 21 2008 A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: a priori estimates in \(H^1\). Zbl 1146.35323Bramble, James H.; Pasciak, Joseph E. 6 2008 Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems. Zbl 1116.78019Bramble, James H.; Pasciak, Joseph E. 40 2007 The approximation of the Maxwell eigenvalue problem using a least-squares method. Zbl 1078.65100Bramble, James H.; Kolev, Tzanio V.; Pasciak, Joseph E. 17 2005 A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016Bramble, J. H.; Kolev, T. V.; Pasciak, J. E. 10 2005 A new approximation technique for div-curl systems. Zbl 1049.78026Bramble, James H.; Pasciak, Joseph E. 35 2004 A proof of the inf-sup condition for the Stokes equations on Lipschitz domains. Zbl 1073.35184Bramble, James H. 26 2003 Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains. Zbl 1032.74026Bacuta, C.; Bramble, J. H. 26 2003 Regularity estimates for elliptic boundary value problems in Besov spaces. Zbl 1031.65133Bacuta, Constantin; Bramble, James H.; Xu, Jinchao 24 2003 Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108Bacuta, C.; Bramble, J. H.; Xu, J. 16 2003 Using finite element tools in proving shift theorems for elliptic boundary value problems. Zbl 1071.65559Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E. 13 2003 Multiscale problems and methods in numerical simulations. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 9–15, 2001. Zbl 1024.00036 1 2003 On the stability of the \(L^2\) projection in \(H^1(\omega)\). Zbl 0989.65122Bramble, James H.; Pasciak, Joseph E.; Steinbach, Olaf 70 2002 Shift theorems for the biharmonic Dirichlet problem. Zbl 1068.65134Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E. 7 2002 Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 14 2001 Uniform convergence of the multigrid V-cycle for an anisotropic problem. Zbl 0967.65104Bramble, James H.; Zhang, Xuejun 13 2001 New interpolation results and applications to finite element methods for elliptic boundary value problems. Zbl 0993.65128Bacuta, C.; Bramble, J. H.; Pasciak, J. E. 12 2001 Uzawa type algorithms for nonsymmetric saddle point problems. Zbl 0951.65122Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 60 2000 The analysis of multigrid methods. Zbl 0972.65103Bramble, James H.; Zhang, Xuejun 59 2000 Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S. 35 2000 Least-quares for second-order elliptic problems. Zbl 0944.65119Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 18 1998 A negative-norm least squares method for Reissner-Mindlin plates. Zbl 0899.73544Bramble, James H.; Sun, Tong 12 1998 Analysis of non-overlapping domain decomposition algorithms with inexact solves. Zbl 0902.65067Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 8 1998 A locking-free finite element method for Naghdi shells. Zbl 0913.73065Bramble, James H.; Sun, Tong 8 1998 Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 210 1997 A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 72 1997 Iterative techniques for time dependent Stokes problems. Zbl 1030.76506Bramble, J. H.; Pasciak, J. E. 37 1997 A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081Bramble, James H.; King, J. Thomas 160 1996 Least-squares methods for Stokes equations based on a discrete minus one inner product. Zbl 0867.65055Bramble, James H.; Pasciak, Joseph E. 32 1996 A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Zbl 0879.65024Bramble, James H.; Pasciak, Joseph E.; Knyazev, Andrew V. 26 1996 The analysis of multigrid algorithms for cell centered finite difference methods. Zbl 0848.65082Bramble, James H.; Ewing, Richard E.; Pasciak, Joseph E.; Shen, Jian 10 1996 Two-level preconditioners for \(2m\)’th order elliptic finite element problems. Zbl 0860.65120Bramble, J. H.; Pasciak, J. E.; Zhang, Xuejun 2 1996 Multigrid methods for the biharmonic problem discretized by conforming \(C^ 1\) finite elements on nonnested meshes. Zbl 0842.65081Bramble, James H.; Zhang, Xuejun 11 1995 Interpolation between Sobolev spaces in Lipschitz domains with an application to multigrid theory. Zbl 0849.65086Bramble, James H. 8 1995 Uniform convergence of multigrid \(V\)-cycle iterations for indefinite and nonsymmetric problems. Zbl 0813.65130Bramble, James H.; Kwak, Do Y.; Pasciak, Joseph E. 39 1994 A robust finite element method for nonhomogeneous Dirichlet problems in domains with curved boundaries. Zbl 0810.65104Bramble, James H.; King, J. Thomas 36 1994 The analysis of multigrid algorithms for pseudodifferential operators of order minus one. Zbl 0812.65110Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E. 14 1994 Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity. Zbl 0797.65085Bramble, James H.; Pasciak, Joseph E. 10 1994 On variational formulations for the Stokes equations with nonstandard boundary conditions. Zbl 0819.76063Bramble, James H.; Lee, Ping 7 1994 Analysis of V-cycle multigrid algorithms for forms defined by numerical quadrature. Zbl 0802.65121Bramble, J. H.; Goldstein, C. I.; Pasciak, J. E. 2 1994 Multigrid methods. Zbl 0786.65094Bramble, James H. 102 1993 New estimates for multilevel algorithms including the V-cycle. Zbl 0783.65081Bramble, James H.; Pasciak, Joseph E. 55 1993 Iterative schemes for nonsymmetric and indefinite elliptic boundary value problems. Zbl 0795.65071Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E. 5 1993 The analysis of smoothers for multigrid algorithms. Zbl 0771.65082Bramble, James H.; Pasciak, Joseph E. 38 1992 Domain decomposition methods for problems with partial refinement. Zbl 0746.65084Bramble, James H.; Ewing, Richard E.; Parashkevov, Rossen R.; Pasciak, Joseph E. 7 1992 Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 82 1991 Some estimates for a weighted \(L^ 2\) projection. Zbl 0722.65057Bramble, James H.; Xu, Jinchao 74 1991 Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 71 1991 The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 63 1991 Parallel multilevel preconditioners. Zbl 0703.65076Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 143 1990 Parallel multilevel preconditioners. Zbl 0725.65095Bramble, J. H.; Pasciak, J. E.; Xu, J. 41 1990 A domain decomposition technique for Stokes problems. Zbl 0691.76031Bramble, James H.; Pasciak, Joseph E. 24 1990 Parallel multilevel preconditioners. Zbl 0711.65102Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 1 1990 The construction of preconditioners for elliptic problems by substructuring. IV. Zbl 0668.65082Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H. 39 1989 A local post-processing technique for improving the accuracy in mixed finite-element approximations. Zbl 0688.65061Bramble, James H.; Xu, Jinchao 20 1989 Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data. Zbl 0663.65110Bramble, James H.; Pasciak, Joseph E.; Sammon, Peter H.; Thomée, Vidar 18 1989 Alternating direction multistep methods for parabolic problems - iterative stabilization. Zbl 0686.65078Bramble, James H.; Ewing, Richard E.; Li, Gang 6 1989 A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017Bramble, James H.; Pasciak, Joseph E. 121 1988 A preconditioning technique for the efficient solution of problems with local grid refinement. Zbl 0619.76113Bramble, James H.; Ewing, Richard E.; Pasciak, Joseph E.; Schatz, Alfred H. 42 1988 The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems. Zbl 0699.65075Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 26 1988 The construction of preconditioners for elliptic problems by substructuring. III. Zbl 0701.65070Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H. 21 1988 A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0649.65061Bramble, James H.; Pasciak, Joseph E. 17 1988 New convergence estimates for multigrid algorithms. Zbl 0659.65098Bramble, James H.; Pasciak, Joseph E. 65 1987 The construction of preconditioners for elliptic problems by substructuring. II. Zbl 0623.65118Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. 44 1987 The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. 154 1986 An iterative method for elliptic problems on regions partitioned into substructures. Zbl 0595.65111Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. 64 1986 The construction of preconditioners for elliptic problems by substructuring. Zbl 0611.65072Bramble, J. H. 4 1986 A boundary parametric approximation to the linearized scalar potential magnetostatic field problem. Zbl 0619.65113Bramble, James H.; Pasciak, Joseph E. 6 1985 A mixed-Lagrange multiplier finite element method for the polyharmonic equation. Zbl 0591.65073Bramble, James H.; Falk, Richard S. 3 1985 Preconditioned iterative methods for nonselfadjoint or indefinite elliptic boundary value problems. Zbl 0544.65075Bramble, J. H.; Pasciak, J. E. 8 1984 Two mixed finite element methods for the simply supported plate problem. Zbl 0536.73063Bramble, James H.; Falk, Richard S. 7 1983 The Lagrange multiplier method for Dirichlet’s problem. Zbl 0477.65077Bramble, James H. 17 1981 Efficient higher order single step methods for parabolic problems. I. Zbl 0476.65072Bramble, James H.; Sammon, Peter H. 21 1980 Multistep methods for quasilinear parabolic equations. Zbl 0428.73083Bramble, James H. 1 1980 Semidiscrete and single step fully discrete approximations for second order hyperbolic equations. Zbl 0405.65057Baker, Garth A.; Bramble, James H. 43 1979 Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005Bramble, James H.; Scott, Ridgway 25 1978 Higher order local accuracy by averaging in the finite element method. Zbl 0353.65064Bramble, James H.; Schatz, Alfred H. 111 1977 Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations. Zbl 0364.65084Bramble, J. H.; Schatz, A. H.; Thomee, V.; Wahlbin, L. B. 55 1977 Single step Galerkin approximations for parabolic problems. Zbl 0378.65061Baker, Garth A.; Bramble, James H.; Thomee, Vidar 26 1977 Estimates for spline projections. Zbl 0343.65045Bramble, James H.; Schatz, Alfred H. 11 1976 Maximum-norm interior estimates for Ritz-Galerkin methods. Zbl 0316.65023Bramble, James H.; Nitsche, Joachim A.; Schatz, Alfred H. 15 1975 A survey of some finite element methods proposed for treating the Dirichlet problem. Zbl 0346.49031Bramble, James H. 5 1975 Discrete time Galerkin methods for a parabolic boundary value problem. Zbl 0306.65073Bramble, James H.; Thomee, Vidar 13 1974 Interior maximum norm estimates for some simple finite element methods. Zbl 0301.65065Bramble, J. H.; Thomee, V. 5 1974 Higher order local accuracy by averaging in the finite element method. Zbl 0357.65081Bramble, James H.; Schatz, Alfred H. 2 1974 Rate of convergence estimates for nonselfadjoint eigenvalue approximations. Zbl 0305.65064Bramble, J. H.; Osborn, J. E. 65 1973 A generalized Ritz-least-squares method for Dirichlet problems. Zbl 0287.65056bramble, James H.; Nitsche, Joachim A. 20 1973 Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections. Zbl 0279.65094Bramble, James H.; Dupont, Todd; Thomee, Vidar 28 1972 Approximation of Steklov eigenvalues of non-selfadjoint second order elliptic operators. Zbl 0264.35055Bramble, J. H.; Osborn, J. E. 27 1972 Semidiscrete-least squares methods for a parabolic boundary value problem. Zbl 0268.65060Bramble, James H.; Thomee, Vidar 16 1972 Bounds for a class of linear functionals with applications to Hermite interpolation. Zbl 0214.41405Bramble, J. H.; Hilbert, S. R. 96 1971 Triangular elements in the finite element method. Zbl 0226.65073Bramble, James H.; Zlámal, Miloš 63 1971 Least squares methods for 2mth order elliptic boundary-value problems. Zbl 0216.49202Bramble, James H.; Schatz, Alfred H. 39 1971 On the numerical solution of elliptic boundary value problems by least squares approximation of the data. Zbl 0389.65050Bramble, James H.; Schatz, Alfred H. 3 1971 Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. Zbl 0201.07803Bramble, J. H.; Hilbert, S. R. 158 1970 Rayleigh-Rith-Galerkin methods for Dirichlet’s problem using subspaces without boundary conditions. Zbl 0204.11102Bramble, James H.; Schatz, Alfred H. 39 1970 On the convergence of difference approximations for second order uniformly elliptic operators. Zbl 0234.65086Bramble, James H. 2 1970 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,784 Authors 61 Bramble, James H. 46 Brenner, Susanne Cecelia 37 Pasciak, Joseph E. 32 Xu, Jinchao 26 Zhang, Guofeng 25 Ewing, Richard Edward 24 Huang, Yunqing 23 Ryan, Jennifer K. 22 Bacuta, Constantin 21 Ma, Changfeng 18 Cockburn, Bernardo 18 Liang, Zhaozheng 18 Lin, Tao 17 Duan, Huoyuan 17 Zhang, Shangyou 17 Zikatanov, Ludmil T. 16 Chen, Jinru 16 Kwak, Do Young 16 Lazarov, Raytcho D. 16 Yang, Yidu 15 Harbrecht, Helmut 14 Axelsson, Axel Owe Holger 14 Bertoluzza, Silvia 14 Wang, Junping 14 Yang, Danping 14 Zhang, Zhimin 13 Bi, Hai 13 Ciarlet, Philippe Gaston 13 He, Xiaoming 13 Kirby, Robert M. II 13 Thomée, Vidar 13 Xu, Xuejun 13 Yang, Suh-Yuh 12 Chen, Long 12 Chen, Yanping 12 Li, Zhilin 12 Oswald, Peter 12 Rannacher, Rolf 12 Serbin, Steven M. 12 Xie, Hehu 12 Ye, Xiu 12 Zou, Jun 11 Burman, Erik 11 Cui, Jingjing 11 Dupont, Todd F. 11 Griebel, Michael 11 Hu, Qiya 11 Huang, Zhengge 11 Mandel, Jan 11 Payne, Lawrence Edward 11 Vassilevski, Panayot Spirov 11 Wang, Ligong 11 Xie, Xiaoping 11 Xu, Zhong 10 Bonito, Andrea 10 Brezzi, Franco 10 Douglas, Jim jun. 10 Falk, Richard S. 10 Fang, Qing 10 He, Yinnian 10 Knops, Robin J. 10 Li, Zi-Cai 10 Mardal, Kent-Andre 10 Shu, Shi 10 Sinha, Rajen Kumar 10 Stephan, Ernst Peter 10 Wei, Guowei 10 Zhang, Xu 9 Ainsworth, Mark 9 Bochev, Pavel B. 9 Dahmen, Wolfgang A. 9 Führer, Thomas 9 Hiptmair, Ralf 9 Huang, Qiumei 9 Kim, Seungil 9 King, John-Thomas 9 Křížek, Michal 9 Kunoth, Angela 9 Larson, Mats G. 9 Li, Peijun 9 Lin, Yanping 9 Lin, Yiqin 9 Pennacchio, Micol 9 Schatz, Alfred H. 9 Stevenson, Rob P. 9 Tan, Roger C. E. 9 Winther, Ragnar 8 Babuška, Ivo 8 Canuto, Claudio 8 Carey, Graham Francis 8 Carstensen, Carsten 8 Chen, Zhangxin 8 Dougalis, Vassilios A. 8 Gopalakrishnan, Jayadeep 8 Gunzburger, Max D. 8 Huang, Chaobao 8 Huang, Na 8 Ji, Haifeng 8 Jo, Gwanghyun 8 Nistor, Victor ...and 2,684 more Authors all top 5 Cited in 258 Serials 230 Mathematics of Computation 203 Numerische Mathematik 186 Journal of Computational and Applied Mathematics 143 Computer Methods in Applied Mechanics and Engineering 125 Applied Mathematics and Computation 120 Computers & Mathematics with Applications 115 Journal of Scientific Computing 106 Applied Numerical Mathematics 97 Journal of Computational Physics 59 SIAM Journal on Numerical Analysis 57 SIAM Journal on Scientific Computing 46 Numerical Linear Algebra with Applications 44 Computing 39 Numerical Algorithms 37 Numerical Methods for Partial Differential Equations 36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 35 Journal of Mathematical Analysis and Applications 33 BIT 32 Advances in Computational Mathematics 30 Calcolo 27 RAIRO. 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Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 10 Science China. Mathematics 9 SIAM Journal on Matrix Analysis and Applications 9 Journal of Integral Equations and Applications 9 Communications in Numerical Methods in Engineering 9 Computing and Visualization in Science 9 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 8 Applicable Analysis 8 BIT. Nordisk Tidskrift for Informationsbehandling 8 East Asian Journal on Applied Mathematics 7 Acta Mathematicae Applicatae Sinica. English Series 7 Computational Optimization and Applications 7 Journal of Applied Mathematics and Computing 6 Applied Mathematics and Optimization 6 Journal of Soviet Mathematics 6 Computational Mechanics 6 Journal of Elasticity 6 Journal of Mathematical Sciences (New York) 6 Mathematical Problems in Engineering 6 Computational Geosciences 6 Archives of Computational Methods in Engineering 6 International Journal of Numerical Analysis and Modeling 6 Communications on Applied Mathematics and Computation 6 Results in Applied Mathematics 5 Computer Aided Geometric Design 5 Constructive Approximation 5 Science in China. Series A 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Applied and Computational Harmonic Analysis 5 Engineering Analysis with Boundary Elements 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Mathematische Zeitschrift 4 SIAM Journal on Control and Optimization 4 Transactions of the American Mathematical Society 4 Aequationes Mathematicae 4 Filomat 4 Discrete and Continuous Dynamical Systems. Series B 4 Central European Journal of Mathematics 4 Advances in Difference Equations 3 Journal of Engineering Mathematics 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Integral Equations and Operator Theory 3 Journal of Optimization Theory and Applications 3 Applied Mathematics and Mechanics. (English Edition) 3 Journal of Complexity 3 Mathematical and Computer Modelling 3 Japan Journal of Industrial and Applied Mathematics 3 Applied Mathematical Modelling 3 SIAM Journal on Applied Mathematics 3 SIAM Review 3 ETNA. Electronic Transactions on Numerical Analysis 3 International Journal of Computational Fluid Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 3 The ANZIAM Journal 3 Multiscale Modeling & Simulation 3 Boundary Value Problems 3 SIAM/ASA Journal on Uncertainty Quantification 2 Acta Mechanica ...and 158 more Serials all top 5 Cited in 43 Fields 2,301 Numerical analysis (65-XX) 1,309 Partial differential equations (35-XX) 376 Fluid mechanics (76-XX) 295 Mechanics of deformable solids (74-XX) 129 Optics, electromagnetic theory (78-XX) 116 Calculus of variations and optimal control; optimization (49-XX) 66 Approximations and expansions (41-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 50 Operator theory (47-XX) 44 Integral equations (45-XX) 40 Ordinary differential equations (34-XX) 35 Potential theory (31-XX) 32 Functional analysis (46-XX) 31 Probability theory and stochastic processes (60-XX) 29 Biology and other natural sciences (92-XX) 27 Computer science (68-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Classical thermodynamics, heat transfer (80-XX) 17 Real functions (26-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Geophysics (86-XX) 15 Operations research, mathematical programming (90-XX) 14 Systems theory; control (93-XX) 13 Quantum theory (81-XX) 10 Information and communication theory, circuits (94-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Functions of a complex variable (30-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Difference and functional equations (39-XX) 5 Integral transforms, operational calculus (44-XX) 4 Combinatorics (05-XX) 4 Statistics (62-XX) 3 Measure and integration (28-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 1 Algebraic geometry (14-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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