Edit Profile (opens in new tab) Bramble, James H. (b. 1930 d. 2021) Co-Author Distance 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 1,200 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 Pitman Research Notes in Mathematics Series 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 4,269 times in 2,927 Documents Cited by ▼ Year ▼ Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031 Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 224 1997 A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081 Bramble, James H.; King, J. Thomas 186 1996 Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. Zbl 0201.07803 Bramble, J. H.; Hilbert, S. R. 168 1970 The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112 Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. 162 1986 Parallel multilevel preconditioners. Zbl 0703.65076 Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 152 1990 A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017 Bramble, James H.; Pasciak, Joseph E. 126 1988 Multigrid methods. Zbl 0786.65094 Bramble, James H. 126 1993 Higher order local accuracy by averaging in the finite element method. Zbl 0353.65064 Bramble, James H.; Schatz, Alfred H. 119 1977 Bounds for a class of linear functionals with applications to Hermite interpolation. Zbl 0214.41405 Bramble, J. H.; Hilbert, S. R. 98 1971 Some estimates for a weighted \(L^ 2\) projection. Zbl 0722.65057 Bramble, James H.; Xu, Jinchao 89 1991 Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101 Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 88 1991 On the stability of the \(L^2\) projection in \(H^1(\omega)\). Zbl 0989.65122 Bramble, James H.; Pasciak, Joseph E.; Steinbach, Olaf 87 2002 A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104 Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 80 1997 Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085 Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 74 1991 The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081 Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 71 1991 Rate of convergence estimates for nonselfadjoint eigenvalue approximations. Zbl 0305.65064 Bramble, J. H.; Osborn, J. E. 69 1973 New convergence estimates for multigrid algorithms. Zbl 0659.65098 Bramble, James H.; Pasciak, Joseph E. 67 1987 Triangular elements in the finite element method. Zbl 0226.65073 Bramble, James H.; Zlámal, Miloš 67 1971 An iterative method for elliptic problems on regions partitioned into substructures. Zbl 0595.65111 Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. 66 1986 Uzawa type algorithms for nonsymmetric saddle point problems. Zbl 0951.65122 Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 63 2000 The analysis of multigrid methods. Zbl 0972.65103 Bramble, James H.; Zhang, Xuejun 63 2000 On a finite difference analogue of an elliptic boundary problem which is neither diagonally dominant nor of non-negative type. Zbl 0126.32305 Bramble, J. H.; Hubbard, B. E. 61 1964 New estimates for multilevel algorithms including the V-cycle. Zbl 0783.65081 Bramble, James H.; Pasciak, Joseph E. 59 1993 Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations. Zbl 0364.65084 Bramble, J. H.; Schatz, A. H.; Thomee, V.; Wahlbin, L. B. 56 1977 Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems. Zbl 1116.78019 Bramble, James H.; Pasciak, Joseph E. 48 2007 On the formulation of finite difference analogues of the Dirichlet problem for Poisson’s equation. Zbl 0135.18102 Bramble, J. H.; Hubbard, B. E. 47 1962 Semidiscrete and single step fully discrete approximations for second order hyperbolic equations. Zbl 0405.65057 Baker, Garth A.; Bramble, James H. 46 1979 The construction of preconditioners for elliptic problems by substructuring. II. Zbl 0623.65118 Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. 46 1987 A robust finite element method for nonhomogeneous Dirichlet problems in domains with curved boundaries. Zbl 0810.65104 Bramble, James H.; King, J. Thomas 44 1994 The construction of preconditioners for elliptic problems by substructuring. IV. Zbl 0668.65082 Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H. 43 1989 Rayleigh-Rith-Galerkin methods for Dirichlet’s problem using subspaces without boundary conditions. Zbl 0204.11102 Bramble, James H.; Schatz, Alfred H. 43 1970 A preconditioning technique for the efficient solution of problems with local grid refinement. Zbl 0619.76113 Bramble, James H.; Ewing, Richard E.; Pasciak, Joseph E.; Schatz, Alfred H. 42 1988 Parallel multilevel preconditioners. Zbl 0725.65095 Bramble, J. H.; Pasciak, J. E.; Xu, J. 41 1990 Least squares methods for 2mth order elliptic boundary-value problems. Zbl 0216.49202 Bramble, James H.; Schatz, Alfred H. 41 1971 The analysis of smoothers for multigrid algorithms. Zbl 0771.65082 Bramble, James H.; Pasciak, Joseph E. 41 1992 Uniform convergence of multigrid \(V\)-cycle iterations for indefinite and nonsymmetric problems. Zbl 0813.65130 Bramble, James H.; Kwak, Do Y.; Pasciak, Joseph E. 39 1994 Iterative techniques for time dependent Stokes problems. Zbl 1030.76506 Bramble, J. H.; Pasciak, J. E. 39 1997 A new approximation technique for div-curl systems. Zbl 1049.78026 Bramble, James H.; Pasciak, Joseph E. 38 2004 Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052 Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S. 37 2000 Least-squares methods for Stokes equations based on a discrete minus one inner product. Zbl 0867.65055 Bramble, James H.; Pasciak, Joseph E. 34 1996 Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections. Zbl 0279.65094 Bramble, James H.; Dupont, Todd; Thomee, Vidar 33 1972 New monotone type approximations for elliptic problems. Zbl 0124.33006 Bramble, J. H.; Hubbard, B. E. 33 1964 Approximation of Steklov eigenvalues of non-selfadjoint second order elliptic operators. Zbl 0264.35055 Bramble, J. H.; Osborn, J. E. 30 1972 A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Zbl 0879.65024 Bramble, James H.; Pasciak, Joseph E.; Knyazev, Andrew V. 29 1996 A proof of the inf-sup condition for the Stokes equations on Lipschitz domains. Zbl 1073.35184 Bramble, James H. 28 2003 Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains. Zbl 1032.74026 Bacuta, C.; Bramble, J. H. 27 2003 Single step Galerkin approximations for parabolic problems. Zbl 0378.65061 Baker, Garth A.; Bramble, James H.; Thomee, Vidar 26 1977 The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems. Zbl 0699.65075 Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 26 1988 Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem. Zbl 1273.74155 Bramble, James H.; Pasciak, Joseph E.; Trenev, Dimitar 26 2010 Regularity estimates for elliptic boundary value problems in Besov spaces. Zbl 1031.65133 Bacuta, Constantin; Bramble, James H.; Xu, Jinchao 26 2003 Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005 Bramble, James H.; Scott, Ridgway 25 1978 A domain decomposition technique for Stokes problems. Zbl 0691.76031 Bramble, James H.; Pasciak, Joseph E. 25 1990 The construction of preconditioners for elliptic problems by substructuring. III. Zbl 0701.65070 Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H. 24 1988 A second order finite difference analog of the first biharmonic boundary value problem. Zbl 0154.41105 Bramble, J. H. 24 1966 Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem. Zbl 1155.78316 Bramble, James H.; Pasciak, Joseph E. 24 2008 A local post-processing technique for improving the accuracy in mixed finite-element approximations. Zbl 0688.65061 Bramble, James H.; Xu, Jinchao 22 1989 Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\) and \(\mathbb R^3\). Zbl 1268.65150 Bramble, James H.; Pasciak, Joseph E. 22 2013 Efficient higher order single step methods for parabolic problems. I. Zbl 0476.65072 Bramble, James H.; Sammon, Peter H. 21 1980 A generalized Ritz-least-squares method for Dirichlet problems. Zbl 0287.65056 bramble, James H.; Nitsche, Joachim A. 20 1973 Convergence estimates for essentially positive tpye discrete Dirichlet problems. Zbl 0217.21902 Bramble, J. H.; Hubbard, B. E.; Thomée, V. 20 1969 Least-quares for second-order elliptic problems. Zbl 0944.65119 Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 19 1998 The Lagrange multiplier method for Dirichlet’s problem. Zbl 0477.65077 Bramble, James H. 19 1981 Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data. Zbl 0663.65110 Bramble, James H.; Pasciak, Joseph E.; Sammon, Peter H.; Thomée, Vidar 18 1989 The approximation of the Maxwell eigenvalue problem using a least-squares method. Zbl 1078.65100 Bramble, James H.; Kolev, Tzanio V.; Pasciak, Joseph E. 18 2005 Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107 Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 17 2001 A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0649.65061 Bramble, James H.; Pasciak, Joseph E. 17 1988 Bounds in the Neumann problem for second order uniformly elliptic operators. Zbl 0111.09701 Bramble, J. H.; Payne, L. E. 17 1962 Semidiscrete-least squares methods for a parabolic boundary value problem. Zbl 0268.65060 Bramble, James H.; Thomee, Vidar 16 1972 Maximum-norm interior estimates for Ritz-Galerkin methods. Zbl 0316.65023 Bramble, James H.; Nitsche, Joachim A.; Schatz, Alfred H. 16 1975 The analysis of multigrid algorithms for pseudodifferential operators of order minus one. Zbl 0812.65110 Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E. 16 1994 A negative-norm least squares method for Reissner-Mindlin plates. Zbl 0899.73544 Bramble, James H.; Sun, Tong 16 1998 Some inequalities for vector functions with applications in elasticity. Zbl 0109.16806 Bramble, J. H.; Payne, L. E. 16 1962 A theorem on error estimation for finite difference analogues of the Dirichlet problem for elliptic equations. Zbl 0196.50901 Bramble, J. H.; Hubbard, B. E. 16 1963 Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030 Bramble, James H.; Pasciak, Joseph E. 16 2012 Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108 Bacuta, C.; Bramble, J. H.; Xu, J. 16 2003 Using finite element tools in proving shift theorems for elliptic boundary value problems. Zbl 1071.65559 Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E. 15 2003 Discrete time Galerkin methods for a parabolic boundary value problem. Zbl 0306.65073 Bramble, James H.; Thomee, Vidar 14 1974 Approximation of solutions of mixed boundary value problems for Poisson’s equation by finite differences. Zbl 0125.07305 Bramble, J. H.; Hubbard, B. E. 14 1965 Uniform convergence of the multigrid V-cycle for an anisotropic problem. Zbl 0967.65104 Bramble, James H.; Zhang, Xuejun 13 2001 New interpolation results and applications to finite element methods for elliptic boundary value problems. Zbl 0993.65128 Bacuta, C.; Bramble, J. H.; Pasciak, J. E. 13 2001 Multigrid methods for the biharmonic problem discretized by conforming \(C^ 1\) finite elements on nonnested meshes. Zbl 0842.65081 Bramble, James H.; Zhang, Xuejun 12 1995 A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016 Bramble, J. H.; Kolev, T. V.; Pasciak, J. E. 12 2005 Estimates for spline projections. Zbl 0343.65045 Bramble, James H.; Schatz, Alfred H. 11 1976 Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity. Zbl 0797.65085 Bramble, James H.; Pasciak, Joseph E. 11 1994 On variational formulations for the Stokes equations with nonstandard boundary conditions. Zbl 0819.76063 Bramble, James H.; Lee, Ping 11 1994 Bounds for solutions of second-order elliptic partial differential equations. Zbl 0141.09801 Bramble, J. H.; Payne, L. E. 11 1963 The analysis of multigrid algorithms for cell centered finite difference methods. Zbl 0848.65082 Bramble, James H.; Ewing, Richard E.; Pasciak, Joseph E.; Shen, Jian 10 1996 A finite difference analog of the Neumann problem for Poisson’s equation. Zbl 0141.33201 Bramble, J. H.; Hubbard, B. E. 10 1965 A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: a priori estimates in \(H^1\). Zbl 1146.35323 Bramble, James H.; Pasciak, Joseph E. 10 2008 A priori bounds in the first boundary value problem in elasticity. Zbl 0104.35102 Bramble, J. H.; Payne, L. E. 10 1961 Shift theorems for the biharmonic Dirichlet problem. Zbl 1068.65134 Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E. 9 2002 Pointwise bounds for discrete Green’s functions. Zbl 0212.17904 Bramble, J. H.; Thomée, V. 9 1969 Analysis of non-overlapping domain decomposition algorithms with inexact solves. Zbl 0902.65067 Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 8 1998 A locking-free finite element method for Naghdi shells. Zbl 0913.73065 Bramble, James H.; Sun, Tong 8 1998 Interpolation between Sobolev spaces in Lipschitz domains with an application to multigrid theory. Zbl 0849.65086 Bramble, James H. 8 1995 Error estimates for difference methods in forced vibration problems. Zbl 0146.13804 Bramble, J. H. 8 1966 Pointwise bounds in the first biharmonic boundary value problem. Zbl 0168.37003 Bramble, J. H.; Payne, L. E. 8 1964 Discrete analogues of the Dirichlet problem with isolated singularities. Zbl 0176.46902 Bramble, J. H.; Hubbard, B. E.; Zlamal, M. 8 1968 Domain decomposition methods for problems with partial refinement. Zbl 0746.65084 Bramble, James H.; Ewing, Richard E.; Parashkevov, Rossen R.; Pasciak, Joseph E. 8 1992 Preconditioned iterative methods for nonselfadjoint or indefinite elliptic boundary value problems. Zbl 0544.65075 Bramble, J. H.; Pasciak, J. E. 8 1984 Analysis of a Cartesian PML approximation to acoustic scattering problems in \(\mathbb R^2\) and \(\mathbb R^3\). Zbl 1268.65150 Bramble, James H.; Pasciak, Joseph E. 22 2013 Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030 Bramble, James H.; Pasciak, Joseph E. 16 2012 Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem. Zbl 1273.74155 Bramble, James H.; Pasciak, Joseph E.; Trenev, Dimitar 26 2010 Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem. Zbl 1155.78316 Bramble, James H.; Pasciak, Joseph E. 24 2008 A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: a priori estimates in \(H^1\). Zbl 1146.35323 Bramble, James H.; Pasciak, Joseph E. 10 2008 Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems. Zbl 1116.78019 Bramble, James H.; Pasciak, Joseph E. 48 2007 The approximation of the Maxwell eigenvalue problem using a least-squares method. Zbl 1078.65100 Bramble, James H.; Kolev, Tzanio V.; Pasciak, Joseph E. 18 2005 A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016 Bramble, J. H.; Kolev, T. V.; Pasciak, J. E. 12 2005 A new approximation technique for div-curl systems. Zbl 1049.78026 Bramble, James H.; Pasciak, Joseph E. 38 2004 A proof of the inf-sup condition for the Stokes equations on Lipschitz domains. Zbl 1073.35184 Bramble, James H. 28 2003 Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains. Zbl 1032.74026 Bacuta, C.; Bramble, J. H. 27 2003 Regularity estimates for elliptic boundary value problems in Besov spaces. Zbl 1031.65133 Bacuta, Constantin; Bramble, James H.; Xu, Jinchao 26 2003 Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108 Bacuta, C.; Bramble, J. H.; Xu, J. 16 2003 Using finite element tools in proving shift theorems for elliptic boundary value problems. Zbl 1071.65559 Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E. 15 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 0989.65122 Bramble, James H.; Pasciak, Joseph E.; Steinbach, Olaf 87 2002 Shift theorems for the biharmonic Dirichlet problem. Zbl 1068.65134 Bacuta, Constantin; Bramble, James H.; Pasciak, Joseph E. 9 2002 Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107 Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 17 2001 Uniform convergence of the multigrid V-cycle for an anisotropic problem. Zbl 0967.65104 Bramble, James H.; Zhang, Xuejun 13 2001 New interpolation results and applications to finite element methods for elliptic boundary value problems. Zbl 0993.65128 Bacuta, C.; Bramble, J. H.; Pasciak, J. E. 13 2001 Uzawa type algorithms for nonsymmetric saddle point problems. Zbl 0951.65122 Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 63 2000 The analysis of multigrid methods. Zbl 0972.65103 Bramble, James H.; Zhang, Xuejun 63 2000 Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052 Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S. 37 2000 Least-quares for second-order elliptic problems. Zbl 0944.65119 Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 19 1998 A negative-norm least squares method for Reissner-Mindlin plates. Zbl 0899.73544 Bramble, James H.; Sun, Tong 16 1998 Analysis of non-overlapping domain decomposition algorithms with inexact solves. Zbl 0902.65067 Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 8 1998 A locking-free finite element method for Naghdi shells. Zbl 0913.73065 Bramble, James H.; Sun, Tong 8 1998 Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031 Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T. 224 1997 A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104 Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 80 1997 Iterative techniques for time dependent Stokes problems. Zbl 1030.76506 Bramble, J. H.; Pasciak, J. E. 39 1997 A finite element method for interface problems in domains with smooth boundaries and interfaces. Zbl 0868.65081 Bramble, James H.; King, J. Thomas 186 1996 Least-squares methods for Stokes equations based on a discrete minus one inner product. Zbl 0867.65055 Bramble, James H.; Pasciak, Joseph E. 34 1996 A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Zbl 0879.65024 Bramble, James H.; Pasciak, Joseph E.; Knyazev, Andrew V. 29 1996 The analysis of multigrid algorithms for cell centered finite difference methods. Zbl 0848.65082 Bramble, James H.; Ewing, Richard E.; Pasciak, Joseph E.; Shen, Jian 10 1996 Two-level preconditioners for \(2m\)’th order elliptic finite element problems. Zbl 0860.65120 Bramble, 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 0842.65081 Bramble, James H.; Zhang, Xuejun 12 1995 Interpolation between Sobolev spaces in Lipschitz domains with an application to multigrid theory. Zbl 0849.65086 Bramble, James H. 8 1995 A robust finite element method for nonhomogeneous Dirichlet problems in domains with curved boundaries. Zbl 0810.65104 Bramble, James H.; King, J. Thomas 44 1994 Uniform convergence of multigrid \(V\)-cycle iterations for indefinite and nonsymmetric problems. Zbl 0813.65130 Bramble, James H.; Kwak, Do Y.; Pasciak, Joseph E. 39 1994 The analysis of multigrid algorithms for pseudodifferential operators of order minus one. Zbl 0812.65110 Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E. 16 1994 Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity. Zbl 0797.65085 Bramble, James H.; Pasciak, Joseph E. 11 1994 On variational formulations for the Stokes equations with nonstandard boundary conditions. Zbl 0819.76063 Bramble, James H.; Lee, Ping 11 1994 Analysis of V-cycle multigrid algorithms for forms defined by numerical quadrature. Zbl 0802.65121 Bramble, J. H.; Goldstein, C. I.; Pasciak, J. E. 2 1994 Multigrid methods. Zbl 0786.65094 Bramble, James H. 126 1993 New estimates for multilevel algorithms including the V-cycle. Zbl 0783.65081 Bramble, James H.; Pasciak, Joseph E. 59 1993 Iterative schemes for nonsymmetric and indefinite elliptic boundary value problems. Zbl 0795.65071 Bramble, James H.; Leyk, Zbigniew; Pasciak, Joseph E. 5 1993 The analysis of smoothers for multigrid algorithms. Zbl 0771.65082 Bramble, James H.; Pasciak, Joseph E. 41 1992 Domain decomposition methods for problems with partial refinement. Zbl 0746.65084 Bramble, James H.; Ewing, Richard E.; Parashkevov, Rossen R.; Pasciak, Joseph E. 8 1992 Some estimates for a weighted \(L^ 2\) projection. Zbl 0722.65057 Bramble, James H.; Xu, Jinchao 89 1991 Convergence estimates for multigrid algorithms without regularity assumptions. Zbl 0727.65101 Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 88 1991 Convergence estimates for product iterative methods with applications to domain decomposition. Zbl 0754.65085 Bramble, James H.; Pasciak, Joseph E.; Wang, Junping; Xu, Jinchao 74 1991 The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms. Zbl 0718.65081 Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 71 1991 Parallel multilevel preconditioners. Zbl 0703.65076 Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 152 1990 Parallel multilevel preconditioners. Zbl 0725.65095 Bramble, J. H.; Pasciak, J. E.; Xu, J. 41 1990 A domain decomposition technique for Stokes problems. Zbl 0691.76031 Bramble, James H.; Pasciak, Joseph E. 25 1990 Parallel multilevel preconditioners. Zbl 0711.65102 Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 1 1990 The construction of preconditioners for elliptic problems by substructuring. IV. Zbl 0668.65082 Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H. 43 1989 A local post-processing technique for improving the accuracy in mixed finite-element approximations. Zbl 0688.65061 Bramble, James H.; Xu, Jinchao 22 1989 Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data. Zbl 0663.65110 Bramble, James H.; Pasciak, Joseph E.; Sammon, Peter H.; Thomée, Vidar 18 1989 Alternating direction multistep methods for parabolic problems - iterative stabilization. Zbl 0686.65078 Bramble, James H.; Ewing, Richard E.; Li, Gang 6 1989 A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0643.65017 Bramble, James H.; Pasciak, Joseph E. 126 1988 A preconditioning technique for the efficient solution of problems with local grid refinement. Zbl 0619.76113 Bramble, 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 0699.65075 Bramble, James H.; Pasciak, Joseph E.; Xu, Jinchao 26 1988 The construction of preconditioners for elliptic problems by substructuring. III. Zbl 0701.65070 Bramble, James H.; Pasciak, Joseph E.; Schatz, Alfred H. 24 1988 A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Zbl 0649.65061 Bramble, James H.; Pasciak, Joseph E. 17 1988 New convergence estimates for multigrid algorithms. Zbl 0659.65098 Bramble, James H.; Pasciak, Joseph E. 67 1987 The construction of preconditioners for elliptic problems by substructuring. II. Zbl 0623.65118 Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. 46 1987 The construction of preconditioners for elliptic problems by substructuring. I. Zbl 0615.65112 Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. 162 1986 An iterative method for elliptic problems on regions partitioned into substructures. Zbl 0595.65111 Bramble, J. H.; Pasciak, J. E.; Schatz, A. H. 66 1986 The construction of preconditioners for elliptic problems by substructuring. Zbl 0611.65072 Bramble, J. H. 4 1986 A boundary parametric approximation to the linearized scalar potential magnetostatic field problem. Zbl 0619.65113 Bramble, James H.; Pasciak, Joseph E. 6 1985 A mixed-Lagrange multiplier finite element method for the polyharmonic equation. Zbl 0591.65073 Bramble, James H.; Falk, Richard S. 4 1985 Preconditioned iterative methods for nonselfadjoint or indefinite elliptic boundary value problems. Zbl 0544.65075 Bramble, J. H.; Pasciak, J. E. 8 1984 Two mixed finite element methods for the simply supported plate problem. Zbl 0536.73063 Bramble, James H.; Falk, Richard S. 7 1983 The Lagrange multiplier method for Dirichlet’s problem. Zbl 0477.65077 Bramble, James H. 19 1981 Efficient higher order single step methods for parabolic problems. I. Zbl 0476.65072 Bramble, James H.; Sammon, Peter H. 21 1980 Multistep methods for quasilinear parabolic equations. Zbl 0428.73083 Bramble, James H. 1 1980 Semidiscrete and single step fully discrete approximations for second order hyperbolic equations. Zbl 0405.65057 Baker, Garth A.; Bramble, James H. 46 1979 Simultaneous approximation in scales of Banach spaces. Zbl 0404.41005 Bramble, James H.; Scott, Ridgway 25 1978 Higher order local accuracy by averaging in the finite element method. Zbl 0353.65064 Bramble, James H.; Schatz, Alfred H. 119 1977 Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations. Zbl 0364.65084 Bramble, J. H.; Schatz, A. H.; Thomee, V.; Wahlbin, L. B. 56 1977 Single step Galerkin approximations for parabolic problems. Zbl 0378.65061 Baker, Garth A.; Bramble, James H.; Thomee, Vidar 26 1977 Estimates for spline projections. Zbl 0343.65045 Bramble, James H.; Schatz, Alfred H. 11 1976 Maximum-norm interior estimates for Ritz-Galerkin methods. Zbl 0316.65023 Bramble, James H.; Nitsche, Joachim A.; Schatz, Alfred H. 16 1975 A survey of some finite element methods proposed for treating the Dirichlet problem. Zbl 0346.49031 Bramble, James H. 5 1975 Discrete time Galerkin methods for a parabolic boundary value problem. Zbl 0306.65073 Bramble, James H.; Thomee, Vidar 14 1974 Interior maximum norm estimates for some simple finite element methods. Zbl 0301.65065 Bramble, J. H.; Thomee, V. 5 1974 Higher order local accuracy by averaging in the finite element method. Zbl 0357.65081 Bramble, James H.; Schatz, Alfred H. 2 1974 Rate of convergence estimates for nonselfadjoint eigenvalue approximations. Zbl 0305.65064 Bramble, J. H.; Osborn, J. E. 69 1973 A generalized Ritz-least-squares method for Dirichlet problems. Zbl 0287.65056 bramble, James H.; Nitsche, Joachim A. 20 1973 Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections. Zbl 0279.65094 Bramble, James H.; Dupont, Todd; Thomee, Vidar 33 1972 Approximation of Steklov eigenvalues of non-selfadjoint second order elliptic operators. Zbl 0264.35055 Bramble, J. H.; Osborn, J. E. 30 1972 Semidiscrete-least squares methods for a parabolic boundary value problem. Zbl 0268.65060 Bramble, James H.; Thomee, Vidar 16 1972 Bounds for a class of linear functionals with applications to Hermite interpolation. Zbl 0214.41405 Bramble, J. H.; Hilbert, S. R. 98 1971 Triangular elements in the finite element method. Zbl 0226.65073 Bramble, James H.; Zlámal, Miloš 67 1971 Least squares methods for 2mth order elliptic boundary-value problems. Zbl 0216.49202 Bramble, James H.; Schatz, Alfred H. 41 1971 On the numerical solution of elliptic boundary value problems by least squares approximation of the data. Zbl 0389.65050 Bramble, James H.; Schatz, Alfred H. 3 1971 Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. Zbl 0201.07803 Bramble, J. H.; Hilbert, S. R. 168 1970 Rayleigh-Rith-Galerkin methods for Dirichlet’s problem using subspaces without boundary conditions. Zbl 0204.11102 Bramble, James H.; Schatz, Alfred H. 43 1970 On the convergence of difference approximations for second order uniformly elliptic operators. Zbl 0234.65086 Bramble, James H. 2 1970 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,066 Authors 61 Bramble, James H. 49 Brenner, Susanne Cecelia 39 Pasciak, Joseph E. 35 Xu, Jinchao 34 Sung, Li-Yeng 27 Huang, Yunqing 26 Zhang, Guofeng 25 Ewing, Richard Edward 25 Ryan, Jennifer K. 22 Bacuta, Constantin 22 Ma, Changfeng 19 Chen, Jinru 19 Cockburn, Bernardo 19 Kwak, Do Young 19 Lin, Tao 18 Liang, Zhaozheng 18 Xu, Xuejun 18 Zhang, Zhimin 17 Duan, Huoyuan 17 Xu, Fei 17 Zhang, Shangyou 16 Lazarov, Raytcho D. 16 Yang, Yidu 16 Zikatanov, Ludmil T. 15 Axelsson, Axel Owe Holger 15 Harbrecht, Helmut 15 He, Xiaoming 15 Wang, Junping 14 Bertoluzza, Silvia 14 Bonito, Andrea 14 Gopalakrishnan, Jay 14 Xie, Hehu 14 Xie, Xiaoping 14 Yang, Danping 13 Bi, Hai 13 Burman, Erik 13 Chen, Long 13 Chen, Yanping 13 Ciarlet, Philippe Gaston 13 Kirby, Robert M. II 13 Li, Zhilin 13 Rannacher, Rolf 13 Thomée, Vidar 13 Yang, Suh-Yuh 12 Ji, Haifeng 12 Jovanović, Boško S. 12 Mandel, Jan 12 Oswald, Peter 12 Serbin, Steven M. 12 Vassilevski, Panayot Spirov 12 Ye, Xiu 12 Zou, Jun 11 Cui, Jingjing 11 Dupont, Todd F. 11 Führer, Thomas 11 Griebel, Michael 11 He, Yinnian 11 Hu, Qiya 11 Huang, Qiumei 11 Huang, Zhengge 11 Melenk, Jens Markus 11 Payne, Lawrence Edward 11 Stephan, Ernst Peter 11 Stevenson, Rob P. 11 Wang, Ligong 11 Xu, Zhong 10 Ainsworth, Mark 10 Brezzi, Franco 10 Dahmen, Wolfgang A. 10 Douglas, Jim jun. 10 Falk, Richard S. 10 Fang, Qing 10 Hu, Jun 10 Kim, Seungil 10 Knops, Robin J. 10 Larson, Mats G. 10 Li, Zi-Cai 10 Mardal, Kent-Andre 10 Nochetto, Ricardo Horacio 10 Shu, Shi 10 Sinha, Rajen Kumar 10 Wei, Guowei 10 Wu, Haijun 10 Zhang, Xu 10 Zheng, Qingqing 9 Bochev, Pavel B. 9 Cao, Waixiang 9 Carstensen, Carsten 9 Huang, Chaobao 9 Huang, Jianguo 9 Jo, Gwanghyun 9 King, John-Thomas 9 Křížek, Michal 9 Kunoth, Angela 9 Li, Jichun 9 Li, Peijun 9 Lin, Yanping 9 Lin, Yiqin 9 Nistor, Victor 9 Pennacchio, Micol ...and 2,966 more Authors all top 5 Cited in 268 Serials 236 Mathematics of Computation 206 Numerische Mathematik 192 Journal of Computational and Applied Mathematics 156 Computer Methods in Applied Mechanics and Engineering 140 Computers & Mathematics with Applications 133 Journal of Scientific Computing 126 Applied Mathematics and Computation 113 Journal of Computational Physics 111 Applied Numerical Mathematics 73 SIAM Journal on Numerical Analysis 61 SIAM Journal on Scientific Computing 46 Numerical Linear Algebra with Applications 46 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 44 Computing 44 Numerical Methods for Partial Differential Equations 41 Numerical Algorithms 36 Journal of Mathematical Analysis and Applications 35 BIT 34 Advances in Computational Mathematics 33 Calcolo 29 Computational Methods in Applied Mathematics 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 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 8 Applicable Analysis 8 Acta Mathematicae Applicatae Sinica. English Series 8 BIT. Nordisk Tidskrift for Informationsbehandling 8 East Asian Journal on Applied Mathematics 7 Computational Mechanics 7 Computational Optimization and Applications 7 Journal of Mathematical Sciences (New York) 7 Mathematical Problems in Engineering 7 Journal of Applied Mathematics and Computing 7 Communications on Applied Mathematics and Computation 7 Results in Applied Mathematics 6 Applied Mathematics and Optimization 6 Journal of Soviet Mathematics 6 Science in China. 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(English Edition) 3 Journal of Complexity 3 Mathematical and Computer Modelling ...and 168 more Serials all top 5 Cited in 42 Fields 2,521 Numerical analysis (65-XX) 1,434 Partial differential equations (35-XX) 415 Fluid mechanics (76-XX) 330 Mechanics of deformable solids (74-XX) 144 Optics, electromagnetic theory (78-XX) 132 Calculus of variations and optimal control; optimization (49-XX) 69 Approximations and expansions (41-XX) 56 Linear and multilinear algebra; matrix theory (15-XX) 55 Operator theory (47-XX) 46 Integral equations (45-XX) 41 Ordinary differential equations (34-XX) 39 Potential theory (31-XX) 36 Functional analysis (46-XX) 36 Computer science (68-XX) 34 Probability theory and stochastic processes (60-XX) 33 Biology and other natural sciences (92-XX) 26 Statistical mechanics, structure of matter (82-XX) 23 Real functions (26-XX) 20 Classical thermodynamics, heat transfer (80-XX) 20 Operations research, mathematical programming (90-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 17 Geophysics (86-XX) 16 Systems theory; control (93-XX) 14 Information and communication theory, circuits (94-XX) 13 Quantum theory (81-XX) 12 Global analysis, analysis on manifolds (58-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Functions of a complex variable (30-XX) 6 Difference and functional equations (39-XX) 5 Special functions (33-XX) 5 Integral transforms, operational calculus (44-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Measure and integration (28-XX) 4 Differential geometry (53-XX) 4 Statistics (62-XX) 3 Convex and discrete geometry (52-XX) 2 General and overarching topics; collections (00-XX) 2 Mechanics of particles and systems (70-XX) 1 Algebraic geometry (14-XX) 1 Geometry (51-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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