What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Geometry
- Algebra
Luca Formaggia spends much of his time researching Finite element method, Numerical analysis, Applied mathematics, Computational fluid dynamics and Computer simulation.
His Finite element method research incorporates elements of Numerical partial differential equations and Differential equation.
His biological study spans a wide range of topics, including Control engineering and Mathematical optimization.
His Applied mathematics research incorporates elements of Tetrahedron, Geometry, Scalar, Euler's formula and Arbitrary lagrangian eulerian.
He interconnects Fluid–structure interaction, Navier–Stokes equations and Numerical stability in the investigation of issues within Computational fluid dynamics.
In his study, which falls under the umbrella issue of Mechanics, Boundary and Boundary layer thickness is strongly linked to Boundary value problem.
His most cited work include:
- On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels (468 citations)
- CARDIOVASCULAR MATHEMATICS: MODELING AND SIMULATION OF THE CIRCULATORY SYSTEM (317 citations)
- Finite element Euler computations in three dimensions (314 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Mechanics, Finite element method, Applied mathematics, Mathematical analysis and Flow.
Luca Formaggia has researched Mechanics in several fields, including Fluid–structure interaction, Blood flow, Boundary value problem and Simulation.
His biological study spans a wide range of topics, including Discretization, Geometry, Numerical analysis and Computer simulation.
His Numerical analysis research incorporates themes from Partial differential equation and Calculus.
Luca Formaggia has included themes like Multiphase flow, Convection–diffusion equation, Compressibility and Mathematical optimization in his Applied mathematics study.
His work carried out in the field of Flow brings together such families of science as Finite difference and Porous medium.
He most often published in these fields:
- Mechanics (23.78%)
- Finite element method (20.73%)
- Applied mathematics (18.29%)
What were the highlights of his more recent work (between 2017-2021)?
- Applied mathematics (18.29%)
- Porous medium (9.15%)
- Flow (14.02%)
In recent papers he was focusing on the following fields of study:
His primary scientific interests are in Applied mathematics, Porous medium, Flow, Discretization and Work.
His Applied mathematics study combines topics in areas such as Conservation of mass, Numerical analysis, Reduction and Compressibility.
The various areas that Luca Formaggia examines in his Porous medium study include Multiphase flow, Mechanics, Convection–diffusion equation, Computer simulation and Fracture.
His Mechanics research is multidisciplinary, incorporating perspectives in Discrete fracture, Solver and Layer.
His study in Fracture is interdisciplinary in nature, drawing from both Mathematical analysis, Finite element method, Equidimensional, Flow and Darcy's law.
His work often combines Flow and Test case studies.
Between 2017 and 2021, his most popular works were:
- A Hybrid High-Order method for Darcy flows in fractured porous media (35 citations)
- Analysis of a mimetic finite difference approximation of flows in fractured porous media (30 citations)
- An Unfitted Formulation for the Interaction of an Incompressible Fluid with a Thick Structure via an XFEM/DG Approach (16 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Algebra
The scientist’s investigation covers issues in Finite element method, Applied mathematics, Porous medium, Fracture and Polygon mesh.
In the subject of general Finite element method, his work in Domain decomposition methods is often linked to Work, thereby combining diverse domains of study.
His Applied mathematics research is multidisciplinary, relying on both Multiphase flow, Convection–diffusion equation, Classification of discontinuities and Finite volume method.
Luca Formaggia studied Porous medium and Flow that intersect with Numerical tests, Boundary and Finite difference.
His Fracture research focuses on subjects like Mathematical analysis, which are linked to Permeability, Square root and Mathematical optimization.
His studies deal with areas such as Composite number, Mechanics and Poisson problem as well as Polygon mesh.
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