- Home
- Best Scientists - Mathematics
- James H. Bramble

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
52
Citations
11,381
90
World Ranking
688
National Ranking
349

- Mathematical analysis
- Geometry
- Partial differential equation

His main research concerns Mathematical analysis, Finite element method, Boundary value problem, Iterative method and Partial differential equation. His research investigates the connection with Mathematical analysis and areas like Saddle point which intersect with concerns in Uzawa iteration. The Finite element method study combines topics in areas such as Discretization, Algorithm and Smoothed finite element method.

The study incorporates disciplines such as Elliptic curve, Boundary and Preconditioner in addition to Boundary value problem. He usually deals with Iterative method and limits it to topics linked to Conjugate gradient method and System of linear equations. His Partial differential equation research is multidisciplinary, relying on both Positive-definite matrix, Dirichlet problem and Differential equation.

- Parallel multilevel preconditioners (533 citations)
- The construction of preconditioners for elliptic problems by substructuring. I (528 citations)
- A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems (354 citations)

His primary areas of investigation include Mathematical analysis, Boundary value problem, Finite element method, Applied mathematics and Multigrid method. His study connects Iterative method and Mathematical analysis. His biological study deals with issues like Elliptic curve, which deal with fields such as Product.

His Boundary value problem research incorporates themes from Boundary, Galerkin method and Bounded function. The various areas that he examines in his Finite element method study include Discretization, Algorithm, Numerical analysis and Boundary problem. His work carried out in the field of Applied mathematics brings together such families of science as Positive-definite matrix, Discrete mathematics, Projection, Simple and Mathematical optimization.

- Mathematical analysis (74.42%)
- Boundary value problem (40.70%)
- Finite element method (33.72%)

- Mathematical analysis (74.42%)
- Domain (17.44%)
- Boundary value problem (40.70%)

James H. Bramble spends much of his time researching Mathematical analysis, Domain, Boundary value problem, Finite element method and Sobolev space. In his study, Lipschitz continuity is strongly linked to Boundary, which falls under the umbrella field of Mathematical analysis. His work is dedicated to discovering how Boundary value problem, Function are connected with Analytic geometry and other disciplines.

His research integrates issues of Discretization, Multigrid method and Numerical analysis in his study of Finite element method. His work in Discretization addresses issues such as Preconditioner, which are connected to fields such as Finite difference. His Sobolev space research is multidisciplinary, incorporating perspectives in Besov space, Linear system, Elliptic curve, Weak formulation and Applied mathematics.

- ANALYSIS OF A FINITE PML APPROXIMATION FOR THE THREE DIMENSIONAL TIME-HARMONIC MAXWELL AND ACOUSTIC SCATTERING PROBLEMS (63 citations)
- A new approximation technique for div-curl systems (53 citations)
- Regularity estimates for elliptic boundary value problems in Besov spaces (44 citations)

- Mathematical analysis
- Geometry
- Numerical analysis

His primary scientific interests are in Mathematical analysis, Domain, Boundary, Lipschitz continuity and Dirichlet problem. His study in Mathematical analysis concentrates on Boundary value problem, Sobolev space, Lipschitz domain, Biharmonic equation and Helmholtz equation. The concepts of his Sobolev space study are interwoven with issues in Positive-definite matrix, Linear system, Petrov–Galerkin method, Weak formulation and Applied mathematics.

His Biharmonic equation study integrates concerns from other disciplines, such as Linear elasticity and Convex hull, Regular polygon. His Helmholtz equation research includes elements of Numerical integration, Frequency domain and Perfectly matched layer. He interconnects Besov space, Elliptic curve, Partial differential equation and Hilbert space in the investigation of issues within Dirichlet problem.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Parallel multilevel preconditioners

James H. Bramble;Joseph E. Pasciak;Jinchao Xu.

Mathematics of Computation **(1990)**

1049 Citations

Parallel multilevel preconditioners

James H. Bramble;Joseph E. Pasciak;Jinchao Xu.

Mathematics of Computation **(1990)**

1049 Citations

The construction of preconditioners for elliptic problems by substructuring. I

J H Bramble;J E Pasciak;A H Schatz.

Mathematics of Computation **(1986)**

766 Citations

The construction of preconditioners for elliptic problems by substructuring. I

J H Bramble;J E Pasciak;A H Schatz.

Mathematics of Computation **(1986)**

766 Citations

A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems

James H. Bramble;Joseph E. Pasciak.

Mathematics of Computation **(1988)**

597 Citations

A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems

James H. Bramble;Joseph E. Pasciak.

Mathematics of Computation **(1988)**

597 Citations

Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation

J. H. Bramble;S. R. Hilbert.

SIAM Journal on Numerical Analysis **(1970)**

561 Citations

Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems

James H. Bramble;Joseph E. Pasciak;Apostol T. Vassilev.

SIAM Journal on Numerical Analysis **(1997)**

555 Citations

Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems

James H. Bramble;Joseph E. Pasciak;Apostol T. Vassilev.

SIAM Journal on Numerical Analysis **(1997)**

555 Citations

Convergence estimates for multigrid algorithms without regularity assumptions

James H. Bramble;Joseph E. Pasciak;Jun Ping Wang;Jinchao Xu.

Mathematics of Computation **(1991)**

401 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Texas A&M University

Pennsylvania State University

Chalmers University of Technology

Texas A&M University

Texas A&M University

Portland State University

The University of Texas at Austin

University of Chicago

The University of Texas at Austin

Texas A&M University

New Jersey Institute of Technology

University of Louisville

Deakin University

University of Illinois at Urbana-Champaign

King Mongkut's University of Technology Thonburi

Motorola (United States)

Beijing Institute of Technology

Chalmers University of Technology

University of Namur

University of Lisbon

University of Queensland

University of Southern California

The University of Texas at Austin

The University of Texas Health Science Center at Houston

Université Catholique de Louvain

MedStar Washington Hospital Center

Something went wrong. Please try again later.