Publications

• R. Schoof, G. F. Castelli, W. Dörfler: Comparison of Different Elastic Strain Definitions for Largely Deformed SEI of Chemo-Mechanically Coupled Silicon Battery Particles. To appear in Examples and Counterexamples 2024.

• R. Schoof, J. Niermann, A. Dyck, T. Böhlke, W. Dörfler. Modeling and Simulation of Chemo-Elasto-Plastically Coupled Battery Active Particles. Computational Mechanics 2024.

• M. Paszkiewicz, M. Sukhova, W. Dörfler, and C. Rockstuhl. Approximation method for fast calculation of transmission in multi-mode waveguides. Journal of the Optical Society of America A, 2024.

• W. Dörfler, C. Wieners. Space-time approximations for linear acoustic, elastic, and electro-magnetic wave equations. In Wave Phenomena (Oberwolfach Seminars 49), pages 3--69. Springer, 2023.

• R. Schoof, G. F. Castelli, W. Dörfler. Simulation of the Deformation for Cycling Chemo-Mechanically Coupled Battery Active Particles with Mechanical Constraints. Computers and Mathematics with Applications 149:135-149.

• S. Simonis, J. Nguyen, S. J. Avis, W. Dörfler, M. J. Krause. Binary mixture flow with free energy lattice Boltzmann methods. Discrete and Continuous Dynamical Systems - Series S, March 2023.

• J. Bohn, W. Dörfler, M. Feischl, S. Karch. Adaptive mesh refinement for the Landau–Lifshitz–Gilbert equation. CRC 1173 Preprint 2023/9, Karlsruhe Institute of Technology, March 2023.

• G. F. Castelli, W. Dörfler: Study on an hp-Adaptive Finite Element Solver for a Chemo-Mechanical Battery Particle Model. PAMM 22(1), e202200191 (2023).

• D. Corallo, W. Dörfler, C. Wieners: Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems. Journal of Scientific Computing 94:27 (2023).

• A. Nesic, M. Blaicher, E. Orlandini, T. Olariu, M. Paszkiewicz, F. Negredo, P. Kraft, M. Sukhova, A. Hofmann, W. Dörfler, C. Rockstuhl, W. Freude, C. Koos: Transformation-optics modeling of 3D-printed freeform waveguides. Optics Express 30(21):37193-39233 (2022).

• G.F. Castelli and W. Dörfler: Comparison of an h- and hp-adaptive finite element solver for chemo-mechanically coupled battery electrode particles. Examples and Counterexamples 2:100083 (2022).

• M. Salvalaglio, K. Chockalingam, A. Voigt, W. Dörfler: The elastic inclusion problem in the (amplitude) phase field crystal model. Examples and Counterexamples 2:100067 (2022).

• W. Dörfler, C. Wieners, D. Ziegler: Parallel space-time solutions for the linear visco-acoustic and visco-elastic wave equation. In High Performance Computing in Science and Engineering ’19, pages 589–599. Springer, 2021.

• G. F. Castelli, W. Dörfler: A parallel matrix-free finite element solver for phase separation in electrode particles of lithium ion batteries. PAMM 21(1), e202100169 (2021).

• S. Simonis, M. Haussmann, L. Kronberg, W. Dörfler, M.J. Krause: Linear and brute force stability of orthogonal moment multiple-relaxation-time lattice Boltzmann methods applied to homogeneous isotropic turbulence. Philosophical Transactions A 379(2208): e20200405 (2021).

• G. F. Castelli, L. von Kolzenberg, B. Horstmann, A. Latz, W. Dörfler: Efficient Simulation of Chemical-Mechanical Coupling in Battery Active Particles. Energy Technology 9(10):2000835 (2021).

• K. Chockalingam, W. Dörfler: Implementation of the coupled two-mode phase field crystal model with Cahn--Hilliard for phase-separation in battery electrode particles. International Journal for Numerical Methods in Engineering 122(10):2566-2580 (2021).

• Z. Veszelka, O. Queisser, M. Gontscharow, T. Wetzel, W. Dörfler: Impact of Numerical Methods in Thermal Modeling of Li-ion Batteries on Temperature Distribution and Computation Time. Energy Technology 9(10):2000906 (2021).

• W. Dörfler, C. Wieners, D. Ziegler: Space-Time Discontinuous Galerkin Methods for Linear Hyperbolic Systems and the Application to the Forward Problem in Seismic Imaging. In: R. Klöfkorn, E. Keilegavlen, F. A. Radu, J. Fuhrmann (Eds): Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. Springer Proceedings in Mathematics & Statistics, vol 323, Springer, Berlin 2020, pp 477-485.

• G.F. Castelli and W. Dörfler: Study on an Adaptive Finite Element Solver for the Cahn-Hilliard Equation. In: F. Vermolen and K. Vuik (Eds.): Numerical Mathematics and Advanced Applications ENUMATH 2019, pp 245-253.

• W. Dörfler, M. Maier: An Elliptic Problem with Strongly Nonlinear Interface Condition. Applicable Analysis 99(3):479-495 (2020).

• W. Dörfler, R. Nürnberg: Discrete gradient flows for general curvature energies, SIAM J. Sci. Comput., 41(3), A2012–A2036 (2019). Preprint version: CRC 1173-Preprint 2018/37, Karlsruhe Institute of Technology.

• G.F. Castelli, W. Dörfler: The numerical study of a microscale model for lithium-ion batteries, Computers and Mathematics with Applications 77(6):1527-1540 (2019).

• W. Dörfler, S. Findeisen, C. Wieners, D. Ziegler: Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves. In: U. Langer, O. Steinbach (Eds): Space-Time Methods. Applications to Partial Differential Equations. Radon Series on Computational and Applied Mathematics, 25, de Gruyter, Berlin 2019, pp 97-127.

• F. Negredo, M. Blaicher, A. Nesic, P. Kraft, J. Ott, W. Dörfler, C. Koos, C. Rockstuhl: A fast and reliable method to estimate losses of single-mode waveguides with an arbitrary 2D trajectory. J. Opt. Soc. Am. A 35(6):1063-1073 (2018).

• S. B. Höcker, R. Trunk, W. Dörfler, M. J. Krause. Towards the Simulations of Inertial Dense Particulate Flows with a Volume-Averaged Lattice Boltzmann Method. Computers & Fluids 166:152-162 (2018).

• F. Bülow, H. Nirschl, W. Dörfler: Simulating orthokinetic heterocoagulation and cluster growth in destabilizing suspensions. Particuology 31:117–128 (2017).

• R. Trunk, T. Henn, W. Dörfler, H. Nirschl, M. J. Krause: Inertial dilute particulate fluid flow simulations with an Euler-Euler lattice Boltzmann method. Journal of Computational Science, 17(2):438-445 (2016).

• F. Bülow, P. Hamberger, H. Nirschl, W. Dörfler: A scalable parallel Stokesian Dynamics method for the simulation of colloidal suspensions. Computer Physics Communications, 204:107-120 (2016).

• W. Dörfler, S. Findeisen, C. Wieners: Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. Computational Methods in Applied Mathematics 16(3):409-428 (2016).

• T. Henn, G. Thäter, W. Dörfler, H. Nirschl, M. J. Krause: Parallel dilute particulate flow simulations in the human nasal cavity. Computers and Fluids 124:197–207 (2016).

• W. Dörfler, H. Gerner, R. Schnaubelt: Local wellposedness of a quasilinear wave equation. Applicable Analysis 95(9):2110-2123 (2016).

• F. Keller, H. Nirschl, W. Dörfler, E. Woldt: Efficient Numerical Simulation and Optimization in Electrophoretic Deposition Processes. Journal of the European Ceramic Society 35:2619-2630 (2015).

• F. Bülow, H. Nirschl, W. Dörfler: On the settling behaviour of polydisperse particle clouds in viscous fluids. European Journal of Mechanics B/Fluids 50:19-26 (2015).

• W. Dörfler, S. Findeisen: Numerical Optimization of a Waveguide Transition Using Finite Element Beam Propagation. International Journal of Numerical Modelling, 28(2):201-212 (2015).

• F. Bülow, P. Hamberger, H. Nirschl, W. Dörfler: A parallel implementation of the Stokesian Dynamics method applied to the simulation of colloidal suspensions. Computers and Fluids 103:156-165 (2014).

• M. Kespe, F. Keller, W. Dörfler H. Nirschl: Numerische Untersuchungen interkalationsinduzierter Spannungen in Elektrodeneinzelpartikeln von Lithium-Ionen-Batterien. Chemie Ingenieur Technik, 85(12):1878–1887 (2013).

• E. Blank, K. Busch, W. Dörfler, M. König, J. Niegemann: The Discontinuous Galerkin Method Applied to BOR Maxwell's Equations.

• W. Dörfler, S. Sauter: A Posteriori Error Estimation for Highly Indefinite Helmholtz Problems. Computational Methods in Applied Mathematics, 13(3):333-347 (2013).

• T. Dohnal, W. Dörfler: Coupled mode equations modeling for out-of-plane gap solitons in 2D photonic crystals. SIAM Multiscale Model. Simul., 11(1):162-191 (2013).

• F. Keller, W. Dörfler, H. Nirschl: Effiziente numerische Simulation der Schichtdickenverteilung für elektrotauchemaillierte Bauteile. Chemie Ingenieur Technik 84(8):1252-1254 (2012).

• T. Wienhold, F. Breithaupt, C. Vannahme, M. Brøkner Christiansen, W. Dörfler, A. Kristensen, T. Mappes: Diffusion driven optofluidic dye lasers encapsulated into polymer chips. Lab Chip 12(19):3734-3739 (2012).

• F. Keller, H. Nirschl, W. Dörfler: Primary Charge Effects on Prolate Spheroids with Moderate Aspect Ratios. Journal of Colloid and Interface Science 363(2):690-702 (2011).

• M. Bürg, W. Dörfler: Convergence of an adaptive hp finite element strategy in higher space dimension. Applied Numerical Mathematics 61:1132–1146 (2011).

• M. Feist, F. Keller, H. Nirschl, W. Dörfler: Stokesian Dynamics and the Settling Behaviour of Particle-Fibre-Mixtures. The Canadian Journal of Chemical Engineering, 89:682–690 (2011).

• W. Dörfler: Robust discretisation and a posteriori control for strongly oscillating solutions of the Schrödinger equation. Computational Methods in Applied Mathematics, 11:418-440 (2011).

• M. Feist, F. Keller, W. Dörfler, H. Nirschl: Sedimentationssimulation von Faser/Partikel-Suspensionen mit Hilfe der Stokesian Dynamics. Chemie Ingenieur Technik 82(9):1456 (2010).

• W. Dörfler, C. Wieners: Photonic bandstructure calculations. In: W. Dörfler, A. Lechleiter, M. Plum, G. Schneider, C. Wieners: Photonic crystals: Mathematical Analysis and Numerical Implementation. Oberwolfach Seminars 42. Birkhäuser, 2010. Pages 23-62.

• F. Keller, M. Feist, H. Nirschl, W. Dörfler: Investigation of the nonlinear effects during the sedimentation process of a charged colloidal particle by direct numerical simulation. Journal of Colloid & Interface Science 344(1):228-236 (2010).

• W. Dörfler: Adaptive finite elements methods. In: K. Böhmer (Ed.) Numerical Methods for Nonlinear Elliptic Differential Equations. Oxford Science Publication, 2010. Pages 417-452.

• O. Iliev, D. Vassileva, D. Stoyanov, W. Dörfler: On Efficient Simulation of Non-Newtonian Flow in Saturated Porous Media with a Multigrid Adaptive Refinement Solver. Computing and Visualization in Science 13, 1-16 (2010).

• W. Dörfler, V. Heuveline: Convergence of an adaptive hp finite element strategy in one space dimension. Appl. Numer. Math. 57, 1108-1124 (2007).

• W. Dörfler, M. Ainsworth: Reliable a posteriori error control for non-conforming finite element approximation of Stokes flow. Math. Comp. 74, 1599-1619 (2005).

• W. Dörfler, K. Siebert: Adaptive finite elements for minimal surfaces. In: Hildebrandt, S. and Karcher, H. (Eds.): Geometric Analysis and Nonlinear Partial Differential Equations. Springer, 2003. Pages 147-175.

• W. Dörfler, R. H. Nochetto: Small data oscillation implies saturation assumption. Numer. Math. 91:1-12 (2002).

• W. Dörfler, O. Gontcharova, D. Kröner: Fluid flow with dynamic contact angle: Numerical simulation. ZAMM 82:167-176 (2002).

• M. Ainsworth, W. Dörfler: Fundamental Systems of Numerical Schemes for Linear Convection-Diffusion Equations and Their Relationship to Accuracy. Computing 66:199-229 (2001).

• C. Badura, W. Dörfler: Performance of some preconditioners for the p- and hp-version of the finite element method in 3D. AGTM Report 227, Univ. Kaiserslautern 2000.

• W. Dörfler, O. Wilderotter: An adaptive finite element method for a linear elliptic equation with variable coefficients. ZAMM 80:481-491 (2000).

• W. Dörfler: Uniform Error Estimates for an Exponentially Fitted Finite Element Method for Singularly Perturbed Elliptic Equations. SIAM J. Numer. Anal. 36:1709-1738 (1999).

• W. Dörfler: Uniform A Priori Estimates for Singularly Perturbed Elliptic Equations in Multi-Dimensions. SIAM J. Numer. Anal. 36:1878-1900 (1999).

• E. Bänsch, W. Dörfler: Adaptive finite elements for exterior domain problems. Numer. Math. 80:497-523 (1998).

• W. Dörfler, M. Rumpf: An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Math. Comp. 67:1361-1382 (1998).

• W. Dörfler: A time- and spaceadaptive algorithm for the linear time-dependent Schrödinger equation. Numer. Math. 73:419-448 (1996).

• W. Dörfler: A convergent adaptive algorithm for Poisson's equation. SIAM J. Numer. Anal. 33:1106-1124 (1996).

• W. Dörfler: A robust adaptive strategy for the nonlinear Poisson equation. Computing 55:289-304 (1995).

• W. Dörfler: Hierarchical bases for elliptic problems. Math. Comp. 58:513-529 (1992).

• W. Dörfler: The conditioning of the stiffness matrix for certain elements approximating the incompressibility condition in fluid dynamics. Numer. Math. 58:203-214 (1990).