What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Finite element method
- Partial differential equation
His primary areas of study are Mathematical analysis, Finite element method, Navier–Stokes equations, Preconditioner and Numerical analysis.
Maxim A. Olshanskii has researched Mathematical analysis in several fields, including Matrix, Schur complement and Pressure-correction method.
He interconnects Partial differential equation and hp-FEM in the investigation of issues within Finite element method.
His research integrates issues of Conservation law, Kinematics, Classical mechanics and Nonlinear system in his study of Navier–Stokes equations.
The Preconditioner study which covers Applied mathematics that intersects with Mathematical optimization and Augmented Lagrangian method.
His Numerical analysis research includes elements of Discretization, Stokes flow and Scalar.
His most cited work include:
- An Augmented Lagrangian-Based Approach to the Oseen Problem (166 citations)
- A Finite Element Method for Elliptic Equations on Surfaces (164 citations)
- Grad-div stablilization for Stokes equations (133 citations)
What are the main themes of his work throughout his whole career to date?
Maxim A. Olshanskii mainly focuses on Finite element method, Mathematical analysis, Discretization, Applied mathematics and Numerical analysis.
His research in the fields of Extended finite element method overlaps with other disciplines such as Stability.
His Mathematical analysis research incorporates elements of Navier–Stokes equations, Solver and Schur complement.
His research in Discretization tackles topics such as Curvilinear coordinates which are related to areas like Matrix.
His Applied mathematics study deals with Mathematical optimization intersecting with Incompressible flow and Inferior vena cava.
His Numerical analysis research integrates issues from Mechanics and Free surface.
He most often published in these fields:
- Finite element method (59.64%)
- Mathematical analysis (56.02%)
- Discretization (28.92%)
What were the highlights of his more recent work (between 2018-2021)?
- Finite element method (59.64%)
- Mathematical analysis (56.02%)
- Surface (18.67%)
In recent papers he was focusing on the following fields of study:
Finite element method, Mathematical analysis, Surface, Discretization and Applied mathematics are his primary areas of study.
His studies deal with areas such as Flow, Navier–Stokes equations, Blood flow and Nonlinear system as well as Finite element method.
His study in Navier–Stokes equations is interdisciplinary in nature, drawing from both Iterative method, Preconditioner and Solver.
When carried out as part of a general Mathematical analysis research project, his work on Order is frequently linked to work in Stability, therefore connecting diverse disciplines of study.
Maxim A. Olshanskii interconnects Trace, Tetrahedron and Interpolation in the investigation of issues within Surface.
The concepts of his Applied mathematics study are interwoven with issues in Numerical analysis, Compressibility, System of linear equations and Angular momentum.
Between 2018 and 2021, his most popular works were:
- An Eulerian finite element method for PDEs in time-dependent domains (17 citations)
- A Penalty Finite Element Method for a Fluid System Posed on Embedded Surface (16 citations)
- Inf-sup stability of the trace ₂–₁ Taylor–Hood elements for surface PDEs (10 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Finite element method
- Algebra
Maxim A. Olshanskii mainly investigates Finite element method, Surface, Discretization, Applied mathematics and Mathematical analysis.
His work in Finite element method is not limited to one particular discipline; it also encompasses Nonlinear system.
His work carried out in the field of Surface brings together such families of science as Matrix decomposition, Solver and Preconditioner.
In Discretization, Maxim A. Olshanskii works on issues like Finite difference, which are connected to Partial differential equation, Sobolev space, Embedding and Numerical analysis.
The study incorporates disciplines such as Compressibility, System of linear equations and Angular momentum in addition to Applied mathematics.
Maxim A. Olshanskii performs multidisciplinary studies into Mathematical analysis and Set in his work.
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