What is she best known for?
The fields of study she is best known for:
- Mathematical analysis
- Algebra
- Geometry
Her primary areas of investigation include Mathematical analysis, Finite element method, Penalty method, Boundary value problem and Multigrid method.
Her studies deal with areas such as Rate of convergence, Polygon mesh and Linearization as well as Mathematical analysis.
Her research in Finite element method intersects with topics in Numerical analysis and Partial differential equation.
Her research investigates the connection between Penalty method and topics such as Applied mathematics that intersect with problems in FETI-DP.
Her work deals with themes such as Elliptic curve and Sobolev space, which intersect with Multigrid method.
Her Mixed finite element method study combines topics in areas such as Space and Mathematical theory.
Her most cited work include:
- The Mathematical Theory of Finite Element Methods (4912 citations)
- Poincaré-Friedrichs Inequalities for Piecewise H 1 Functions (354 citations)
- C0 Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains (226 citations)
What are the main themes of her work throughout her whole career to date?
Her primary scientific interests are in Finite element method, Mathematical analysis, Applied mathematics, Penalty method and Multigrid method.
Susanne C. Brenner works in the field of Finite element method, namely Mixed finite element method.
Her Mixed finite element method research is multidisciplinary, incorporating elements of Residual, Solver and Extended finite element method.
The various areas that Susanne C. Brenner examines in her Mathematical analysis study include Domain decomposition methods and Discontinuous Galerkin method.
Her Applied mathematics research is multidisciplinary, relying on both Geometry, Order and Mathematical optimization, Optimal control.
Her Multigrid method study incorporates themes from Uniform convergence, Elliptic curve, Saddle point and Linear elasticity.
She most often published in these fields:
- Finite element method (53.33%)
- Mathematical analysis (49.70%)
- Applied mathematics (41.82%)
What were the highlights of her more recent work (between 2017-2021)?
- Applied mathematics (41.82%)
- Finite element method (53.33%)
- Optimal control (11.52%)
In recent papers she was focusing on the following fields of study:
Susanne C. Brenner mostly deals with Applied mathematics, Finite element method, Optimal control, Pointwise and State.
Her biological study spans a wide range of topics, including Penalty method, Multigrid method and Preconditioner.
In her study, Regularization and Norm is inextricably linked to Uniform convergence, which falls within the broad field of Multigrid method.
Her study in Finite element method is interdisciplinary in nature, drawing from both Element and Numerical analysis.
Her study looks at the relationship between Element and topics such as Poisson problem, which overlap with Mathematical analysis.
Her work in State addresses issues such as Fourth order, which are connected to fields such as Boundary value problem and Perspective.
Between 2017 and 2021, her most popular works were:
- Virtual element methods on meshes with small edges or faces (60 citations)
- $C^0$ Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on Nonconvex Polygonal Domains with Pointwise State Constraints (10 citations)
- C0 interior penalty methods for an elliptic state-constrained optimal control problem with Neumann boundary condition (9 citations)
In her most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Geometry
Applied mathematics, Finite element method, Optimal control, Mathematical analysis and State are her primary areas of study.
Her Applied mathematics research includes themes of Penalty method and Multigrid method.
Her Multigrid method study integrates concerns from other disciplines, such as Hodge decomposition, Curl, Residual, Solver and Cahn–Hilliard equation.
Susanne C. Brenner focuses mostly in the field of Finite element method, narrowing it down to topics relating to Regular polygon and, in certain cases, Fourth order, Preconditioner and Mixed finite element method.
Her Optimal control research incorporates themes from Variational inequality, Neumann boundary condition and Pointwise.
Susanne C. Brenner connects Mathematical analysis with Interaction problem in her research.
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