Finite element method, Mathematical analysis, Mixed finite element method, Eigenvalues and eigenvectors and Extended finite element method are her primary areas of study. Her Finite element method research includes themes of Immersed boundary method, Pure mathematics, Compatibility, Tetrahedron and Edge. When carried out as part of a general Mathematical analysis research project, her work on Discretization, Elliptic curve and Dirichlet problem is frequently linked to work in Compact operator, therefore connecting diverse disciplines of study.
In her work, Combinatorics, Space and Polynomial is strongly intertwined with Function space, which is a subfield of Mixed finite element method. Her research in Eigenvalues and eigenvectors intersects with topics in Applied mathematics, Elliptic operator, Linear equation and Hilbert space. Her Extended finite element method research is multidisciplinary, incorporating perspectives in Method of fundamental solutions, Smoothed finite element method, Boundary knot method and Quadrilateral.
Daniele Boffi focuses on Finite element method, Applied mathematics, Mathematical analysis, Eigenvalues and eigenvectors and Discretization. Specifically, her work in Finite element method is concerned with the study of Mixed finite element method. The study incorporates disciplines such as Function space and Extended finite element method in addition to Mixed finite element method.
In her study, Fluid–structure interaction and Uniqueness is inextricably linked to Partial differential equation, which falls within the broad field of Applied mathematics. Her work on Numerical approximation as part of general Mathematical analysis study is frequently linked to Rate of convergence, bridging the gap between disciplines. Her work on Eigenfunction as part of general Eigenvalues and eigenvectors research is often related to Least squares, thus linking different fields of science.
Daniele Boffi mostly deals with Applied mathematics, Eigenvalues and eigenvectors, Finite element method, A priori and a posteriori and Partial differential equation. Her studies deal with areas such as Discretization, Fluid–structure interaction and Uniqueness as well as Applied mathematics. Daniele Boffi has included themes like Scheme, Numerical analysis, Group and Elliptic partial differential equation in her Eigenvalues and eigenvectors study.
Her Finite element method research incorporates elements of Space, Mathematical analysis, Fundamental solution and Laplace's equation. Her biological study focuses on Poisson's equation. Her Partial differential equation research incorporates elements of Numerical approximation, Parameter dependent and Scalar.
Daniele Boffi mainly investigates Finite element method, Eigenvalues and eigenvectors, Applied mathematics, Numerical analysis and Mathematical analysis. The concepts of her Finite element method study are interwoven with issues in Lagrange multiplier and Computational mathematics. Her research in Eigenvalues and eigenvectors intersects with topics in Scheme, Edge, Residual and Maxwell's equations.
Her Applied mathematics study combines topics in areas such as Stability and Equivalence. In general Numerical analysis study, her work on Numerical approximation often relates to the realm of Theory of computation, thereby connecting several areas of interest. Her biological study spans a wide range of topics, including Element and Mixed finite element method.
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Mixed Finite Element Methods and Applications
Daniele Boffi;Franco Brezzi;Michel Fortin.
(2013)
Finite element approximation of eigenvalue problems
Daniele Boffi.
Acta Numerica (2010)
Approximation by quadrilateral finite elements
Douglas N. Arnold;Daniele Boffi;Richard S. Falk.
Mathematics of Computation (2002)
Quadrilateral H (div) Finite Elements
Douglas N. Arnold;Daniele Boffi;Richard S. Falk.
SIAM Journal on Numerical Analysis (2004)
Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation
Daniele Boffi;Paolo Fernandes;Lucia Gastaldi;Ilaria Perugia.
SIAM Journal on Numerical Analysis (1999)
A finite element approach for the immersed boundary method
Daniele Boffi;Lucia Gastaldi.
Computers & Structures (2003)
Mixed Finite Elements, Compatibility Conditions, and Applications
Daniele Boffi;Franco Brezzi;Leszek F. Demkowicz;Ricardo G. Durán.
(2008)
Reduced symmetry elements in linear elasticity
Daniele Boffi;Franco Brezzi;Michel Fortin.
Communications on Pure and Applied Analysis (2008)
On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
Daniele Boffi;Franco Brezzi;Lucia Gastaldi.
Mathematics of Computation (2000)
On the hyper-elastic formulation of the immersed boundary method
Daniele Boffi;Lucia Gastaldi;Luca Heltai;Charles S. Peskin.
Computer Methods in Applied Mechanics and Engineering (2008)
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