What is he best known for?
The fields of study he is best known for:
- Operating system
- Finite element method
- Programming language
Ernst Rank spends much of his time researching Finite element method, Mathematical optimization, Applied mathematics, Algorithm and Mesh generation.
Ernst Rank studies Mixed finite element method, a branch of Finite element method.
In his research, Smoothed finite element method and Boundary knot method is intimately related to Extended finite element method, which falls under the overarching field of Mixed finite element method.
The Mathematical optimization study combines topics in areas such as Computational mechanics, Isogeometric analysis, Boundary value problem and Boundary.
Ernst Rank combines subjects such as Discretization, Polygon mesh and Classification of discontinuities with his study of Applied mathematics.
His Algorithm research is multidisciplinary, incorporating elements of Basis, Microscopic traffic flow model and Fictitious domain method.
His most cited work include:
- Finite cell method (331 citations)
- An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces (312 citations)
- The finite cell method for three-dimensional problems of solid mechanics (296 citations)
What are the main themes of his work throughout his whole career to date?
Ernst Rank mostly deals with Finite element method, Mathematical analysis, Discretization, Algorithm and Applied mathematics.
His Finite element method research includes elements of Computation and Mathematical optimization.
His study in Computation is interdisciplinary in nature, drawing from both Computational fluid dynamics and Computational science.
His work carried out in the field of Mathematical analysis brings together such families of science as Lattice Boltzmann methods, Geometry and Boundary.
His Algorithm study typically links adjacent topics like Domain.
His Mixed finite element method study combines topics from a wide range of disciplines, such as Smoothed finite element method and Extended finite element method.
He most often published in these fields:
- Finite element method (42.42%)
- Mathematical analysis (14.14%)
- Discretization (13.11%)
What were the highlights of his more recent work (between 2016-2021)?
- Finite element method (42.42%)
- Discretization (13.11%)
- Numerical analysis (5.33%)
In recent papers he was focusing on the following fields of study:
Finite element method, Discretization, Numerical analysis, Algorithm and Boundary are his primary areas of study.
His biological study spans a wide range of topics, including Fracture mechanics, Point cloud and Mathematical analysis.
His research on Mathematical analysis often connects related areas such as hp-FEM.
His studies deal with areas such as Polygon mesh, Computational science, Mesh generation, Applied mathematics and Computation as well as Discretization.
Ernst Rank usually deals with Algorithm and limits it to topics linked to Isogeometric analysis and Basis function.
His work in Boundary addresses issues such as Domain, which are connected to fields such as Boundary value problem.
Between 2016 and 2021, his most popular works were:
- Biofabricated soft network composites for cartilage tissue engineering. (71 citations)
- Additive manufacturing in construction: A review on processes, applications, and digital planning methods (66 citations)
- An integrated design, material, and fabrication platform for engineering biomechanically and biologically functional soft tissues (50 citations)
In his most recent research, the most cited papers focused on:
- Operating system
- Programming language
- Finite element method
The scientist’s investigation covers issues in Finite element method, Discretization, Algorithm, Mesh generation and Mathematical analysis.
Finite element method is a primary field of his research addressed under Structural engineering.
His Discretization study combines topics in areas such as Degrees of freedom, Mechanics, Heat transfer and State variable.
The concepts of his Algorithm study are interwoven with issues in Current, Isogeometric analysis and Boundary value problem.
The study incorporates disciplines such as Octree, Polygon mesh and Mathematical optimization in addition to Mesh generation.
In general Mathematical analysis, his work in Classification of discontinuities, Complex geometry and Domain is often linked to Context linking many areas of study.
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