What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (74.42%)
- Boundary value problem (40.70%)
- Finite element method (33.72%)
What were the highlights of his more recent work (between 2002-2016)?
- Mathematical analysis (74.42%)
- Domain (17.44%)
- Boundary value problem (40.70%)
In recent papers he was focusing on the following fields of study:
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.
Between 2002 and 2016, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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