James H. Bramble | Academic Influence

James H. Bramble's AcademicInfluence.com Rankings

James H. Bramble

Mathematics

#2043

World Rank

#3214

Historical Rank

#819

USA Rank

Measure Theory

#1519

World Rank

#1891

Historical Rank

#510

USA Rank

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Mathematics

James H. Bramble's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is James H. Bramble Influential?

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According to Wikipedia, James Henry Bramble was an American mathematician known for his fundamental contributions in the development of the finite element methods, including the Bramble–Hilbert lemma, domain decomposition methods, and multigrid methods. During his career, he taught at Cornell University and Texas A&M University.

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James H. Bramble's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The construction of preconditioners for elliptic problems by substructuring. I (1986) (768)
Parallel multilevel preconditioners (1990) (719)
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems (1988) (454)
Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems (1997) (410)
Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation (1970) (398)
A finite element method for interface problems in domains with smooth boundaries and interfaces (1996) (312)
Convergence estimates for multigrid algorithms without regularity assumptions (1991) (282)
Some Estimates for a Weighted L 2 Projection (1991) (282)
Higher order local accuracy by averaging in the finite element method (1977) (270)
Convergence estimates for product iterative methods with applications to domain decomposition (1991) (263)
The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms (1991) (246)
Bounds for a class of linear functionals with applications to Hermite interpolation (1971) (229)
Triangular elements in the finite element method (1970) (206)
A least-squares approach based on a discrete minus one inner product for first order systems (1997) (204)
An iterative method for elliptic problems on regions partitioned into substructures (1986) (187)
The analysis of multigrid methods (2000) (172)
New convergence estimates for multigrid algorithms (1987) (171)
On the stability of the L2 projection in H1(Omega) (2002) (155)
New estimates for multilevel algorithms including the V-cycle (1993) (137)
Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations (1977) (136)
Rate of convergence estimates for nonselfadjoint eigenvalue approximations (1973) (130)
A preconditioning technique for the efficient solution of problems with local grid refinement (1988) (117)
Rayleigh‐Ritz‐Galerkin methods for dirichlet's problem using subspaces without boundary conditions (1970) (109)
Iterative techniques for time dependent Stokes problems (1997) (108)
Uzawa type algorithms for nonsymmetric saddle point problems (2000) (104)
On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation (1962) (103)
THE ANALYSIS OF SMOOTHERS FOR MULTIGRID ALGORITHMS (1992) (102)
Computational scales of Sobolev norms with application to preconditioning (2000) (99)
On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type (1964) (94)
Semidiscrete and single step fully discrete approximations for second order hyperbolic equations (1979) (88)
Uniform convergence of multigrid V-cycle iterations for indefinite and nonsymmetric problems (1994) (87)
Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems (2006) (87)
A subspace preconditioning algorithm for eigenvector/eigenvalue computation (1995) (80)
A robust finite element method for nonhomogeneous Dirichlet problems in domains with curved boundaries (1994) (77)
Least-squares methods for Stokes equations based on a discrete minus one inner product (1996) (76)
Single step Galerkin approximations for parabolic problems (1977) (75)
Least Squares Methods for 2mth Order Elliptic Boundary-Value Problems (1971) (75)
The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems (1988) (73)
New monotone type approximations for elliptic problems (1964) (72)
A domain decomposition technique for Stokes problems (1990) (68)
The Lagrange multiplier method for Dirichlet’s problem (1981) (66)
A new approximation technique for div-curl systems (2003) (64)
APPROXIMATION OF STEKLOV EIGENVALUES OF NON-SELFADJOINT SECOND ORDER ELLIPTIC OPERATORS (1972) (62)
A PROOF OF THE INF–SUP CONDITION FOR THE STOKES EQUATIONS ON LIPSCHITZ DOMAINS (2003) (61)
A second order finite difference analog of the first biharmonic boundary value problem (1966) (60)
Least squares methods for 2th order elliptic boundary-value problems (1971) (57)
Regularity estimates for elliptic boundary value problems in Besov spaces (2003) (54)
Least-squares for second-order elliptic problems (1998) (54)
Bounds in the Neumann problem for second order uniformly elliptic operators (1962) (54)
Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains (2003) (53)
The analysis of multigrid algorithms for pseudodifferential operators of order minus one (1994) (53)
Uniform convergence of the multigrid {V}-cycle for an anisotropic problem (2001) (52)
Simultaneous approximation in scales of Banach spaces (1978) (49)
Maximum-norm interior estimates for Ritz-Galerkin methods (1975) (49)
The approximation of the Maxwell eigenvalue problem using a least-squares method (2005) (48)
A local post-processing technique for improving the accuracy in mixed finite-element approximations (1989) (47)
Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections (1972) (47)
Analysis of a Cartesian PML approximation to acoustic scattering problems in R2 and R3 (2013) (45)
The analysis of multigrid algorithms for cell centered finite difference methods (1996) (45)
Convergence estimates for essentially positive type discrete Dirichlet problems (1969) (44)
A Generalized Ritz-Least-Squares Method for Dirichlet Problems (1973) (44)
Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem (2008) (41)
Least-squares methods for linear elasticity based on a discrete minus one inner product (2001) (38)
Discrete time Galerkin methods for a parabolic boundary value problem (1974) (38)
Semidiscrete least-squares methods for a parabolic boundary value problem (1972) (37)
Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data (1989) (37)
Shift Theorems for the Biharmonic Dirichlet Problem (2002) (37)
Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem (2010) (36)
Iterative schemes for nonsymmetric and indefinite elliptic boundary value problems (1993) (36)
Approximation of Solutions of Mixed Boundary Value Problems for Poisson's Equation by Finite Differences (1965) (35)
Efficient Higher Order Single Step Methods for Parabolic Problems. Part I. (1980) (33)
Analysis of non-overlapping domain decomposition algorithms with inexact solves (1998) (32)
A negative-norm least squares method for Reissner-Mindlin plates (1998) (30)
Using finite element tools in proving shift theorems for elliptic boundary value problems (2003) (29)
Estimates for spline projections (1976) (29)
Multigrid methods for the biharmonic problem discretized by conforming C 1 finite elements on nonnested meshes (1995) (29)
Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains (2003) (29)
Some inequalities for vector functions with applications in elasticity (1962) (27)
New interpolation results and applications to finite element methods for elliptic boundary value problems (2001) (25)
A least-squares approximation method for the time-harmonic Maxwell equations (2005) (25)
Preconditioned Iterative Methods for Nonselfadjoint or Indefinite Elliptic Boundary Value Problems. (1984) (24)
Domain Decomposition Methods for Problems with Partial Refinement (1992) (24)
Pointwise Bounds in the First Biharmonic Boundary Value Problem (1963) (23)
ON THE NUMERICAL SOLUTION OF ELLIPTIC BOUNDARY VALUE PROBLEMS BY LEAST SQUARES APPROXIMATION OF THE DATA (1971) (22)
A locking-free finite element method for Naghdi shells (1998) (22)
Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity (1992) (21)
On variational formulations for the Stokes equations with nonstandard boundary conditions (1994) (21)
Fourth-order finite difference analogues of the Dirichlet problem for Poisson’s equation in three and four dimensions (1963) (21)
ANALYSIS OF A CARTESIAN PML APPROXIMATION TO THE THREE DIMENSIONAL ELECTROMAGNETIC WAVE SCATTERING PROBLEM (2012) (20)
Discrete Analogues of the Dirichlet Problem with Isolated Singularities (1968) (19)
Interpolation between Sobolev spaces in Lipschitz domains with an application to multigrid theory (1995) (18)
Error Estimates for Difference Methods in Forced Vibration Problems (1966) (18)
Pointwise Bounds for Discrete Green’s Functions (1969) (18)
A note on the existence and uniqueness of solutions of frequency domain elastic wave problems (2008) (16)
A Finite Difference Analog of the Neumann Problem for Poisson’s Equation (1965) (16)
A priori bounds in the First boundary value problem in elasticity (1961) (15)
Alternating direction multistep methods for parabolic problems-iterative stabilization (1989) (15)
Effects of Boundary Regularity on the Discretization Error in the Fixed Membrane Eigenvalue Problem (1968) (14)
Continuation of Biharmonic Functions Across Circular Arcs (1958) (13)
Interior maximum norm estimates for some simple finite element methods (1974) (13)
A boundary parametric approximation to the linearized scalar potential magnetostatic field problem (1985) (12)
Two mixed finite element methods for the simply supported plate problem (1983) (11)
Some uniqueness theorems in the theory of elasticity (1962) (11)
An Analogue of the Spherical Harmonics for the Equations of Elasticity (1961) (10)
Effect of error in measurement of elastic constants on the solutions of problems in classical elasticity (1963) (10)
A mixed-Lagrange multiplier finite element method for the polyharmonic equation (1985) (9)
Mean Value Theorem for Polyharmonic Functions (1966) (9)
A survey of some finite element methods proposed for treating the dirichlet problem (1975) (9)
On the rate of convergence of some difference schemes for second order elliptic equations (1968) (8)
Some Mean Value Theorems in Elastostatics (1964) (8)
A multilevel preconditioner for domain decomposition boundary systems (1991) (8)
Two-Level Preconditioners For 2m'th Order Elliptic Finite Element Problems (1995) (8)
A new computational approach for the linearized scalar potential formulation of the magnetostatic field problem (1982) (8)
Bounds for derivatives in elliptic boundary value problems. (1964) (7)
Analysis of V-Cycle Multigrid Algorithms for Forms Defined by Numerical Quadrature (1994) (7)
Some converses of mean value theorems in the theory of elasticity (1965) (7)
Continuation of Solutions of the Equations of Elasticity (1960) (6)
Decomposition and Ctitious Domains Methods for Elliptic Boundary Value (1996) (6)
Multiscale Problems and Methods in Numerical Simulations: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 9-15, 2001 (2004) (5)
On some new continuation formulas and uniqueness theorems in the theory of elasticity (1961) (5)
On the convergence of difference approximations to weak solutions of Dirichlet's problem (1969) (5)
Some higher order integral identities with application to bounding techniques (1961) (5)
DISCRETIZATION ERROR IN THE CLASSICAL DIRICHLET PROBLEM FOR LAPLACE'S EQUATION BY FINITE DIFFERENCE METHODS. (1967) (4)
Continuation of solutions of the equations of elasticity across a spherical boundary (1961) (4)
Discrete Methods for Parabolic Equations with Time-Dependent Coefficients (1979) (3)
Inequalities for solutions of mixed boundary value problems for elastic plates (1964) (3)
Domain Decomposition Survey 143 Methods for Partial Diierential Equationsddm Preconditioner for 4th Order Problems by Using B- Spline Nite Element Method', in Fourth Int. Symp. on Domain Decomposition Methods for Partial Diierential Equationsiterative Substructuring Methods: Algorithms and Theory fo (1994) (3)
Upper and lower bounds in equations of forced vibration type (1963) (3)
The Thick Elastic Spherical Shell Under Concentrated Torques (1959) (3)
On the continuation of solutions of the equations of elasticity by reflection (1961) (3)
A sphere theorem for the equations of elasticity (1961) (3)
Bounds for Derivatives in the Dirichlet Problem for Poisson’s Equation (1962) (3)
A new decomposition formula in the theory of elasticity (1961) (3)
FOR NONSYMMETRIC SADDLE POINT PROBLEMS (2016) (3)
Error bounds in the pointwise approximation of solutions of elastic plate problems (1963) (3)
An efficient numerical procedure for the computation of steady state harmonic currents in flat plates (1983) (2)
ON THE STABILITY OF THE L PROJECTION IN H(Ω) (2001) (2)
New Monotone Type Approximations for (2016) (1)
Multilevel methods in finite elements (2003) (1)
Abstract Multilevel Algorithms (2019) (0)
Convergence in the Maximum Norm of Spline Approximations to Elliptic Boundary Value Problems (1975) (0)
Least-squares methods for computational electromagnetics (2004) (0)
Book Review: Handbook of numerical analysis (1996) (0)
Error Estimates in Elliptic Boundary Value Problems (2010) (0)
ESTIMATES FOR SPLINE PROJECTIONS ( 1 ) by (2017) (0)
Model problems and Sobolev spaces (2019) (0)
Multigrid Algorithms with Nonnested Spaces and Varying Forms (2019) (0)
Implementation, work estimates and full multigrid (2019) (0)
Construction of Classes of Smoothers (2019) (0)
Preconditioning the pressure operator for the time dependent Stokes problem (1994) (0)
Pseudodifferential operators of order minus one (2019) (0)
Difference methods and the generalized Dirichlet problem (1967) (0)
Introduction to Iterative Methods (2019) (0)
Application to Second Order Elliptic Problems (2019) (0)
Application to fourth order problems (2019) (0)
Perturbation of Forms (2019) (0)
Pcr-method with Two-level Multigrid with a Standard V-cycle Deening ^ (2007) (0)

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