What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Numerical analysis
- Finite element method
Ivan Yotov mostly deals with Finite element method, Mathematical analysis, Mixed finite element method, Numerical analysis and Geometry.
His study in the field of Superconvergence also crosses realms of Coupling.
His Mathematical analysis study integrates concerns from other disciplines, such as Quadrilateral and Extended finite element method.
His work on Mortar methods as part of general Mixed finite element method research is frequently linked to Mortar, bridging the gap between disciplines.
His studies examine the connections between Numerical analysis and genetics, as well as such issues in Discontinuous Galerkin method, with regards to Partial differential equation.
His Discretization research is multidisciplinary, relying on both Flow, Mechanics, Complex geometry and Fracture flow.
His most cited work include:
- Coupling Fluid Flow with Porous Media Flow (384 citations)
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences (296 citations)
- A Multiscale Mortar Mixed Finite Element Method (216 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Finite element method, Mathematical analysis, Mixed finite element method, Applied mathematics and Discretization.
His Finite element method research is multidisciplinary, incorporating elements of Flow and Biot number.
His Mathematical analysis research is multidisciplinary, incorporating elements of Superconvergence, Geometry and Discontinuous Galerkin method.
His work on Mortar methods as part of his general Mixed finite element method study is frequently connected to Gaussian quadrature, thereby bridging the divide between different branches of science.
His Applied mathematics study incorporates themes from Basis, Solver, Mathematical optimization and Preconditioner.
His studies deal with areas such as Finite difference, Polygon mesh and Curvilinear coordinates as well as Finite difference method.
He most often published in these fields:
- Finite element method (55.65%)
- Mathematical analysis (47.83%)
- Mixed finite element method (42.61%)
What were the highlights of his more recent work (between 2017-2021)?
- Finite element method (55.65%)
- Mathematical analysis (47.83%)
- Poromechanics (19.13%)
In recent papers he was focusing on the following fields of study:
Ivan Yotov mainly focuses on Finite element method, Mathematical analysis, Poromechanics, Biot number and Mixed finite element method.
His research in Finite element method intersects with topics in Elasticity and Applied mathematics.
His Applied mathematics research is multidisciplinary, incorporating perspectives in Compact space, Galerkin method, Partial differential equation, Weak solution and Consolidation.
His study focuses on the intersection of Mathematical analysis and fields such as Linear elasticity with connections in the field of Superconvergence.
Mixed finite element method is closely attributed to Discretization in his work.
Ivan Yotov interconnects Numerical analysis and Series in the investigation of issues within Lagrange multiplier.
Between 2017 and 2021, his most popular works were:
- Robust Discretization of Flow in Fractured Porous Media (65 citations)
- A Lagrange multiplier method for a Stokes–Biot fluid–poroelastic structure interaction model (34 citations)
- Flow and transport in fractured poroelastic media (14 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Finite element method
Finite element method, Flow, Mathematical analysis, Mechanics and Mixed finite element method are his primary areas of study.
As a part of the same scientific family, Ivan Yotov mostly works in the field of Flow, focusing on Biot number and, on occasion, Weak formulation, Discontinuous Galerkin method, Displacement, Stokes flow and Series.
His Mechanics study combines topics in areas such as Discretization, Uniqueness and Complex geometry.
Ivan Yotov performs multidisciplinary studies into Mixed finite element method and Gaussian quadrature in his work.
His work deals with themes such as Piecewise linear function, Quadrilateral, Bilinear form and Rotation, which intersect with Superconvergence.
Throughout his Poromechanics studies, he incorporates elements of other sciences such as Numerical analysis, Interaction model and Lagrange multiplier.
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