What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Partial differential equation
- Numerical analysis
His primary areas of investigation include Mathematical analysis, Finite element method, Numerical analysis, Discretization and Conjugate gradient method.
His studies in Mathematical analysis integrate themes in fields like Navier–Stokes equations and Mixed finite element method.
His Finite element method study combines topics in areas such as Geometry and Partial differential equation.
His research integrates issues of Iterative method, Dynamic pressure, Applied mathematics and Nonlinear system in his study of Numerical analysis.
The concepts of his Conjugate gradient method study are interwoven with issues in Computational fluid dynamics and Limit point.
His study in Fictitious domain method is interdisciplinary in nature, drawing from both Lagrange multiplier and Classical mechanics.
His most cited work include:
- Numerical methods for nonlinear variational problems (1585 citations)
- Numerical Analysis of Variational Inequalities (1149 citations)
- Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics (997 citations)
What are the main themes of his work throughout his whole career to date?
Roland Glowinski mainly focuses on Mathematical analysis, Finite element method, Applied mathematics, Mechanics and Numerical analysis.
His Mathematical analysis study combines topics from a wide range of disciplines, such as Lagrange multiplier, Navier–Stokes equations and Conjugate gradient method.
His Conjugate gradient method research focuses on Controllability and how it relates to Wave equation.
His work carried out in the field of Finite element method brings together such families of science as Discretization, Iterative method, Computational fluid dynamics and Partial differential equation.
His Applied mathematics study also includes
- Nonlinear system together with Least squares,
- Domain decomposition methods which connect with Algorithm.
As a part of the same scientific family, Roland Glowinski mostly works in the field of Mechanics, focusing on Classical mechanics and, on occasion, Direct numerical simulation.
He most often published in these fields:
- Mathematical analysis (42.05%)
- Finite element method (36.82%)
- Applied mathematics (27.02%)
What were the highlights of his more recent work (between 2016-2021)?
- Applied mathematics (27.02%)
- Mechanics (22.88%)
- Finite element method (36.82%)
In recent papers he was focusing on the following fields of study:
Roland Glowinski spends much of his time researching Applied mathematics, Mechanics, Finite element method, Nonlinear system and Discretization.
The various areas that he examines in his Applied mathematics study include Initial value problem, State variable, Numerical analysis and Relaxation.
The Mechanics study combines topics in areas such as Ball, Settling, SPHERES and Bounded function.
His work deals with themes such as Mathematical analysis, Dirichlet problem, Boundary value problem, Operator splitting and Monge–Ampère equation, which intersect with Finite element method.
In his research, Differential equation, Polynomial and Quartic function is intimately related to Type, which falls under the overarching field of Mathematical analysis.
Roland Glowinski interconnects Conjugate gradient method, Optimal control and Robustness in the investigation of issues within Discretization.
Between 2016 and 2021, his most popular works were:
- Splitting Methods in Communication, Imaging, Science, and Engineering (63 citations)
- Extended ALE Method for fluid-structure interaction problems with large structural displacements (46 citations)
- A New Operator Splitting Method for the Euler Elastica Model for Image Smoothing (13 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Partial differential equation
- Geometry
His primary areas of study are Applied mathematics, Mechanics, Viscoelasticity, Settling and Lagrange multiplier.
Roland Glowinski has researched Applied mathematics in several fields, including Initial value problem, Finite element method, Monge–Ampère equation, Nonlinear system and Discretization.
His Discretization study incorporates themes from Elliptic curve, Pointwise and Hessian matrix.
His work deals with themes such as Ball and SPHERES, which intersect with Mechanics.
His research integrates issues of Elasticity, Wall effect, Sedimentation, Reynolds number and Viscous incompressible fluid in his study of Settling.
His Lagrange multiplier study combines topics in areas such as Mathematical analysis, Tensor, Type, Cholesky decomposition and Particle number.
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