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Sören Bartels
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2020 – today
- 2024
- [i31]Sören Bartels, Philipp Tscherner:
Necessary and Sufficient Conditions for Avoiding Babuska's Paradox on Simplicial Meshes. CoRR abs/2401.05897 (2024) - [i30]Sören Bartels, Alex Kaltenbach:
Exact a posteriori error control for variational problems via convex duality and explicit flux reconstruction. CoRR abs/2402.06429 (2024) - [i29]Sören Bartels, Thirupathi Gudi, Alex Kaltenbach:
A priori and a posteriori error identities for the scalar Signorini problem. CoRR abs/2407.10912 (2024) - [i28]Sören Bartels, Giuseppe Buttazzo, Hedwig Keller:
Optimization of an eigenvalue arising in optimal insulation with a lower bound. CoRR abs/2410.16050 (2024) - [i27]Harbir Antil, Sören Bartels, Alex Kaltenbach, Rohit Khandelwal:
Variational problems with gradient constraints: A priori and a posteriori error identities. CoRR abs/2410.18780 (2024) - 2023
- [j56]Sören Bartels, Alex Kaltenbach
:
Explicit and efficient error estimation for convex minimization problems. Math. Comput. 92(343): 2247-2279 (2023) - [j55]Sören Bartels, Christian Palus, Zhangxian Wang:
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints. SIAM J. Numer. Anal. 61(4): 1819-1834 (2023) - [i26]Sören Bartels, Alex Kaltenbach:
Error analysis for a Crouzeix-Raviart approximation of the obstacle problem. CoRR abs/2302.01646 (2023) - [i25]Sören Bartels, Alex Kaltenbach:
Explicit a posteriori error representation for variational problems and application to TV-minimization. CoRR abs/2307.04022 (2023) - [i24]Georgios Akrivis, Sören Bartels, Christian Palus:
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries. CoRR abs/2310.00381 (2023) - [i23]Sören Bartels, Hedwig Keller, Gerd Wachsmuth:
Numerical Approximation of Optimal Convex Shapes in R3. CoRR abs/2311.13386 (2023) - 2022
- [j54]Sören Bartels, Hedwig Keller, Gerd Wachsmuth
Numerical approximation of optimal convex and rotationally symmetric shapes for an eigenvalue problem arising in optimal insulation. Comput. Math. Appl. 119: 327-339 (2022) - [j53]Sören Bartels, Alex Kaltenbach
Error estimates for total-variation regularized minimization problems with singular dual solutions. Numerische Mathematik 152(4): 881-906 (2022) - [j52]Sören Bartels, Frank Meyer, Christian Palus:
Simulating Self-Avoiding Isometric Plate Bending. SIAM J. Sci. Comput. 44(3): 1475- (2022) - [i22]Alex Kaltenbach, Sören Bartels:
Error estimates for total-variation regularized minimization problems with singular dual solutions. CoRR abs/2201.04055 (2022) - [i21]Sören Bartels, Max Griehl, Stefan Neukamm, David Padilla-Garza, Christian Palus:
A nonlinear bending theory for nematic LCE plates. CoRR abs/2203.04010 (2022) - [i20]Sören Bartels, Pascal Weyer:
Computing confined elasticae. CoRR abs/2203.09453 (2022) - [i19]Sören Bartels, Alex Kaltenbach:
Explicit and efficient error estimation for convex minimization problems. CoRR abs/2204.10745 (2022) - [i18]Sören Bartels, Andrea Bonito, Philipp Tscherner:
Error Estimates For A Linear Folding Model. CoRR abs/2205.05720 (2022) - [i17]Sören Bartels, Max Griehl, Jakob Keck, Stefan Neukamm:
Modeling and simulation of nematic LCE rods. CoRR abs/2205.15174 (2022) - [i16]Sören Bartels, Balázs Kovács, Zhangxian Wang:
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. CoRR abs/2208.08267 (2022) - [i15]Sören Bartels, Christian Palus, Zhangxian Wang:
Quasi-optimal error estimates for the approximation of stable harmonic maps. CoRR abs/2209.11985 (2022) - [i14]Sören Bartels, Klaus Böhnlein, Christian Palus, Oliver Sander:
Benchmarking Numerical Algorithms for Harmonic Maps into the Sphere. CoRR abs/2209.13665 (2022) - 2021
- [j51]Sören Bartels:
Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. Comput. Math. Appl. 93: 214-229 (2021) - [j50]Sören Bartels, Philipp Reiter
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves. Math. Comput. 90(330): 1499-1526 (2021) - [j49]Sören Bartels:
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations. Math. Comput. 90(332): 2579-2602 (2021) - [j48]Sören Bartels, Zhangxian Wang:
Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. Numerische Mathematik 148(1): 127-139 (2021) - [i13]Harbir Antil, Sören Bartels, Armin Schikorra:
Approximation of fractional harmonic maps. CoRR abs/2104.10049 (2021) - [i12]Sören Bartels, Robert Tovey, Friedrich Wassmer:
Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems. CoRR abs/2106.13561 (2021) - [i11]Sören Bartels, Andrea Bonito, Peter Hornung:
Modeling and simulation of thin sheet folding. CoRR abs/2108.00937 (2021) - [i10]Sören Bartels, Frank Meyer, Christian Palus:
Simulating Self-Avoiding Isometric Plate Bending. CoRR abs/2108.04952 (2021) - [i9]Hedwig Keller, Sören Bartels, Gerd Wachsmuth:
Numerical Approximation of Optimal Convex and Rotationally Symmetric Shapes for an Eigenvalue Problem arising in Optimal Insulation. CoRR abs/2111.03364 (2021) - 2020
- [j47]Sören Bartels, Marijo Milicevic:
Efficient iterative solution of finite element discretized nonsmooth minimization problems. Comput. Math. Appl. 80(5): 588-603 (2020) - [j46]Sören Bartels, Philipp Reiter:
Numerical solution of a bending-torsion model for elastic rods. Numerische Mathematik 146(4): 661-697 (2020) - [j45]Sören Bartels, Michael Ruzicka
Convergence of Fully Discrete Implicit and Semi-implicit Approximations of Singular Parabolic Equations. SIAM J. Numer. Anal. 58(1): 811-833 (2020) - [j44]Sören Bartels:
Numerical Simulation of Inextensible Elastic Ribbons. SIAM J. Numer. Anal. 58(6): 3332-3354 (2020) - [j43]Sören Bartels, Gerd Wachsmuth
Numerical Approximation of Optimal Convex Shapes. SIAM J. Sci. Comput. 42(2): A1226-A1244 (2020) - [i8]Sören Bartels, Nico Weber:
Parameter learning and fractional differential operators: application in image regularization and decomposition. CoRR abs/2001.03394 (2020) - [i7]Sören Bartels:
Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. CoRR abs/2002.02359 (2020) - [i6]Sören Bartels, Christian Palus:
Stable Gradient Flow Discretizations for Simulating Bilayer Plate Bending with Isometry and Obstacle Constraints. CoRR abs/2004.00341 (2020) - [i5]Sören Bartels:
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations. CoRR abs/2004.09196 (2020) - [i4]Sören Bartels:
Simulation of constrained elastic curves and application to a conical sheet indentation problem. CoRR abs/2004.11089 (2020) - [i3]Sören Bartels, Zhangxian Wang:
Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces. CoRR abs/2005.02741 (2020)
2010 – 2019
- 2019
- [i2]Sören Bartels, Philipp Reiter:
Numerical solution of a bending-torsion model for elastic rods. CoRR abs/1911.07024 (2019) - [i1]Sören Bartels:
Numerical simulation of inextensible elastic ribbons. CoRR abs/1911.08185 (2019) - 2018
- [j42]Sören Bartels, Andrea Bonito, Anastasia Hanifah Muliana
Modeling and simulation of thermally actuated bilayer plates. J. Comput. Phys. 354: 512-528 (2018) - [j41]Sören Bartels, Lars Diening
Unconditional Stability of Semi-Implicit Discretizations of Singular Flows. SIAM J. Numer. Anal. 56(3): 1896-1914 (2018) - 2017
- [j40]Harbir Antil
Spectral Approximation of Fractional PDEs in Image Processing and Phase Field Modeling. Comput. Methods Appl. Math. 17(4): 661-678 (2017) - [j39]Sören Bartels:
Numerical Solution of a Föppl-von Kármán Model. SIAM J. Numer. Anal. 55(3): 1505-1524 (2017) - 2016
- [j38]Sören Bartels, Marijo Milicevic:
Stability and Experimental Comparison of Prototypical Iterative Schemes for Total Variation Regularized Problems. Comput. Methods Appl. Math. 16(3): 361-388 (2016) - [j37]Sören Bartels:
Projection-free approximation of geometrically constrained partial differential equations. Math. Comput. 85(299): 1033-1049 (2016) - 2015
- [j36]Sören Bartels:
Error control and adaptivity for a variational model problem defined on functions of bounded variation. Math. Comput. 84(293): 1217-1240 (2015) - [j35]Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado
A total variation diminishing interpolation operator and applications. Math. Comput. 84(296): 2569-2587 (2015) - 2014
- [j34]Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado
Discrete Total Variation Flows without Regularization. SIAM J. Numer. Anal. 52(1): 363-385 (2014) - [j33]Sören Bartels:
Quasi-optimal Error Estimates for Implicit Discretizations of Rate-Independent Evolutions. SIAM J. Numer. Anal. 52(2): 708-716 (2014) - 2013
- [j32]Sören Bartels:
Finite element approximation of large bending isometries. Numerische Mathematik 124(3): 415-440 (2013) - [j31]Sören Bartels:
Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles. SIAM J. Numer. Anal. 51(1): 516-525 (2013) - 2012
- [j30]Sören Bartels, Alexander Mielke, Tomás Roubícek
Quasi-Static Small-Strain Plasticity in the Limit of Vanishing Hardening and Its Numerical Approximation. SIAM J. Numer. Anal. 50(2): 951-976 (2012) - [j29]Sören Bartels:
Total Variation Minimization with Finite Elements: Convergence and Iterative Solution. SIAM J. Numer. Anal. 50(3): 1162-1180 (2012) - 2011
- [j28]Sören Bartels, Martin Kruzík
An Efficient Approach to the Numerical Solution of Rate-Independent Problems with Nonconvex Energies. Multiscale Model. Simul. 9(3): 1276-1300 (2011) - [j27]Sören Bartels, Rüdiger Müller
Quasi-optimal and robust a posteriori error estimates in L∞(L2) for the approximation of Allen-Cahn equations past singularities. Math. Comput. 80(274): 761-780 (2011) - [j26]Sören Bartels, Rüdiger Müller
Error control for the approximation of Allen-Cahn and Cahn-Hilliard equations with a logarithmic potential. Numerische Mathematik 119(3): 409-435 (2011) - [j25]Sören Bartels, Rüdiger Müller
Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen-Cahn and Ginzburg-Landau Equations Past Topological Changes. SIAM J. Numer. Anal. 49(1): 110-134 (2011) - 2010
- [j24]Sören Bartels:
Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces. Math. Comput. 79(271): 1263-1301 (2010)
2000 – 2009
- 2009
- [j23]Sören Bartels, Christian Lubich, Andreas Prohl:
Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Math. Comput. 78(267): 1269-1292 (2009) - [j22]Sören Bartels:
Semi-Implicit Approximation of Wave Maps into Smooth or Convex Surfaces. SIAM J. Numer. Anal. 47(5): 3486-3506 (2009) - [j21]Sören Bartels, Max Jensen, Rüdiger Müller
Discontinuous Galerkin Finite Element Convergence for Incompressible Miscible Displacement Problems of Low Regularity. SIAM J. Numer. Anal. 47(5): 3720-3743 (2009) - 2008
- [j20]Sören Bartels, Joy Ko, Andreas Prohl:
Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Math. Comput. 77(262): 773-788 (2008) - [j19]Sören Bartels, Carsten Carstensen:
A convergent adaptive finite element method for an optimal design problem. Numerische Mathematik 108(3): 359-385 (2008) - [j18]Sören Bartels, Andreas Prohl:
Convergence of an implicit, constraint preserving finite element discretization of p-harmonic heat flow into spheres. Numerische Mathematik 109(4): 489-507 (2008) - [j17]Lubomír Bañas, Sören Bartels, Andreas Prohl:
A Convergent Implicit Finite Element Discretization of the Maxwell-Landau-Lifshitz-Gilbert Equation. SIAM J. Numer. Anal. 46(3): 1399-1422 (2008) - 2007
- [j16]Sören Bartels, Andreas Prohl:
Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Math. Comput. 76(260): 1847-1859 (2007) - [j15]John W. Barrett
A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres. SIAM J. Numer. Anal. 45(3): 905-927 (2007) - [j14]Sören Bartels, Xiaobing Feng, Andreas Prohl:
Finite Element Approximations of Wave Maps into Spheres. SIAM J. Numer. Anal. 46(1): 61-87 (2007) - 2006
- [j13]Sören Bartels, Andreas Prohl:
Convergence of an Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation. SIAM J. Numer. Anal. 44(4): 1405-1419 (2006) - 2005
- [j12]Sören Bartels:
A posteriori error analysis for time-dependent Ginzburg-Landau type equations. Numerische Mathematik 99(4): 557-583 (2005) - [j11]Sören Bartels:
Stability and Convergence of Finite-Element Approximation Schemes for Harmonic Maps. SIAM J. Numer. Anal. 43(1): 220-238 (2005) - [j10]Sören Bartels:
Reliable and Efficient Approximation of Polyconvex Envelopes. SIAM J. Numer. Anal. 43(1): 363-385 (2005) - 2004
- [j9]Sören Bartels, Andreas Prohl:
Multiscale resolution in the computation of crystalline microstructure. Numerische Mathematik 96(4): 641-660 (2004) - [j8]Sören Bartels, Carsten Carstensen, Georg Dolzmann:
Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. Numerische Mathematik 99(1): 1-24 (2004) - [j7]Sören Bartels, Carsten Carstensen:
Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. Numerische Mathematik 99(2): 225-249 (2004) - [j6]Sören Bartels, Tomás Roubícek
Linear-programming approach to nonconvex variational problems. Numerische Mathematik 99(2): 251-287 (2004) - [j5]Sören Bartels:
Adaptive Approximation of Young Measure Solutions in Scalar Nonconvex Variational Problems. SIAM J. Numer. Anal. 42(2): 505-529 (2004) - 2002
- [j4]Carsten Carstensen, Sören Bartels:
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM. Math. Comput. 71(239): 945-969 (2002) - [j3]Sören Bartels, Carsten Carstensen:
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM. Math. Comput. 71(239): 971-994 (2002) - [j2]Carsten Carstensen, Sören Bartels, Stefan Jansche:
A posteriori error estimates for nonconforming finite element methods. Numerische Mathematik 92(2): 233-256 (2002) - 2001
- [j1]Carsten Carstensen, Sören Bartels, Roland Klose:
An experimental survey of a posteriori Courant finite element error control for the Poisson equation. Adv. Comput. Math. 15(1-4): 79-106 (2001)
Coauthor Index
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