What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Finite element method
- Partial differential equation
Ivo Babuška spends much of his time researching Finite element method, Mathematical analysis, Mixed finite element method, Extended finite element method and Applied mathematics.
Ivo Babuška has researched Finite element method in several fields, including Elliptic curve, Partial differential equation, Boundary value problem, Numerical analysis and Domain.
His study focuses on the intersection of Mathematical analysis and fields such as Galerkin method with connections in the field of Eigenvalue perturbation, Hilbert space, Eigenvalues and eigenvectors of the second derivative and Eigenvalues and eigenvectors.
His Mixed finite element method research is multidisciplinary, incorporating perspectives in Basis function, Algorithm, Piecewise and Combinatorics.
His work carried out in the field of Extended finite element method brings together such families of science as Wave propagation, Stiffness matrix, Isogeometric analysis and Boundary knot method.
His work deals with themes such as Geometry, Mathematical optimization, Rate of convergence, Computation and Calculus, which intersect with Applied mathematics.
His most cited work include:
- Finite Element Analysis (2622 citations)
- The partition of unity finite element method: Basic theory and applications (2590 citations)
- The Partition of Unity Method (1904 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Finite element method, Mathematical analysis, Applied mathematics, Mixed finite element method and Extended finite element method.
The various areas that Ivo Babuška examines in his Finite element method study include Numerical analysis, Mathematical optimization, Polygon mesh and Computation.
The Numerical analysis study combines topics in areas such as Norm and Galerkin method.
Ivo Babuška has included themes like Geometry, Estimator, Differential equation, Rate of convergence and Calculus in his Applied mathematics study.
His research integrates issues of Method of fundamental solutions, Superconvergence and Discontinuous Galerkin method in his study of Mixed finite element method.
His research in Extended finite element method intersects with topics in Smoothed finite element method and Boundary knot method.
He most often published in these fields:
- Finite element method (61.86%)
- Mathematical analysis (39.36%)
- Applied mathematics (30.32%)
What were the highlights of his more recent work (between 2006-2021)?
- Finite element method (61.86%)
- Mathematical analysis (39.36%)
- Applied mathematics (30.32%)
In recent papers he was focusing on the following fields of study:
The scientist’s investigation covers issues in Finite element method, Mathematical analysis, Applied mathematics, Extended finite element method and Calculus.
In general Finite element method study, his work on Mixed finite element method often relates to the realm of A priori and a posteriori, thereby connecting several areas of interest.
His research brings together the fields of Linear elasticity and Mathematical analysis.
His Applied mathematics study integrates concerns from other disciplines, such as Geometry, Polygon mesh, Numerical integration, Mathematical optimization and Discretization.
The study incorporates disciplines such as Structural engineering, Stiffening and Shell in addition to Calculus.
His Numerical analysis research includes themes of Elliptic partial differential equation and Galerkin method.
Between 2006 and 2021, his most popular works were:
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (277 citations)
- n-Widths, sup–infs, and optimality ratios for the k-version of the isogeometric finite element method (193 citations)
- Stable Generalized Finite Element Method (SGFEM) (180 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Finite element method
His main research concerns Finite element method, Mathematical analysis, Applied mathematics, Extended finite element method and Condition number.
A large part of his Finite element method studies is devoted to Mixed finite element method.
His work in Mathematical analysis addresses issues such as Galerkin method, which are connected to fields such as Singular boundary method, Regularized meshless method and Neumann boundary condition.
He frequently studies issues relating to Calculus and Applied mathematics.
His studies deal with areas such as Linear system and Mathematical optimization as well as Extended finite element method.
His Condition number research is multidisciplinary, incorporating elements of Stiffness matrix and Heaviside step function.
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