Carsten Carstensen
- A unifying theory of a posteriori finite element error control
2005/05/23 by C. Carstensen, Carsten Carstensen · 3 citations
Engineering · #Advanced Numerical Methods in Computational Mathematics #Numerical methods in engineering #Electromagnetic Simulation and Numerical Methods
- Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems
2014/10/20 by Carsten Carstensen, Dietmar Gallistl, Mira Schedensack · 3 citations
Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Numerical methods in engineering #Advanced Mathematical Modeling in Engineering
- Optimal adaptive nonconforming FEM for the Stokes problem
2012/09/05 by Carsten Carstensen, Daniel Peterseim, Hella Rabus · 2 citations
Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Electromagnetic Simulation and Numerical Methods
- Convergence analysis of an adaptive nonconforming finite element method
2006/03/06 by Carsten Carstensen, Ronald H.W. Hoppe, Ronald H. W. Hoppe · 2 citations
Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Numerical methods in engineering #Advanced Mathematical Modeling in Engineering
- Residual-based a posteriori error analysis for symmetric mixed Arnold-Winther FEM
2017/05/24 by Carsten Carstensen, Carstensen, C., Dietmar Gallistl +3 · 1 citation
Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in engineering
- How to prove the discrete reliability for nonconforming finite element\n methods
2018/08/10 by Carsten Carstensen, Sophie Puttkammer, Carstensen, Carsten +1 · 1 citation
Computer Science · Engineering · #65N30 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods in engineering
- Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian
2021/05/04 by Carsten Carstensen, Carstensen, Carsten, Sophie Puttkammer +1 · 1 citation
Computer Science · Engineering · Mathematics · #65N25 #65N30 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
- Rate-optimal higher-order adaptive conforming FEM for biharmonic eigenvalue problems on polygonal domains
2024/03/19 by Carsten Carstensen, Carstensen, Carsten, Benedikt Gräßle +1 · 2 citations
Computer Science · Engineering · #65N12 #65N30 #65Y20 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Numerical Analysis (math.NA)
- Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes
2022/05/18 by Carsten Carstensen, Carstensen, Carsten, Rekha Khot +3 · 1 citation
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems