Confined Elastic Curves. - Patrick W. Dondl; Luca Mugnai; Matthias Röger (SIAM J. Appl. Math., 2011)

Positive speed of propagation in a semilinear parabolic interface model with unbounded random coefficients. - Patrick W. Dondl; Michael Scheutzow (Networks Heterog. Media, 2012)

A Phase Field Model for the Optimization of the Willmore Energy in the Class of Connected Surfaces. - Patrick W. Dondl; Luca Mugnai; Matthias Röger (SIAM J. Math. Anal., 2014)

Norm-resolvent convergence in perforated domains. - Kirill D. Cherednichenko; Patrick W. Dondl; Frank Rösler (Asymptot. Anal., 2018)

A Phase-field Approximation of the Perimeter under a Connectedness Constraint. - Patrick W. Dondl; Matteo Novaga; Benedikt Wirth; Stephan Wojtowytsch (SIAM J. Math. Anal., 2019)

Linearization and Computation for Large-Strain Viscoelasticity. - Patrick W. Dondl; Martin Jesenko; Martin Kruzík; Jan Valdman (CoRR, 2021)

Uniform Convergence Guarantees for the Deep Ritz Method for Nonlinear Problems. - Patrick W. Dondl; Johannes Müller; Marius Zeinhofer (CoRR, 2021)

Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis. - Harbir Antil; Patrick W. Dondl; Ludwig Striet (SIAM J. Sci. Comput., 2021)

Multi-material model and shape optimization for bending and torsion of inextensible rods. - Patrick W. Dondl; Alberto Maione; Steve Wolff-Vorbeck (CoRR, 2022)

An Efficient Model For Scaffold Mediated Bone Regeneration. - Patrick W. Dondl; Patrina S. P. Poh; Marius Zeinhofer (SIAM J. Appl. Math., 2022)

Analysis of a sinc-Galerkin Method for the Fractional Laplacian. - Harbir Antil; Patrick W. Dondl; Ludwig Striet (SIAM J. Numer. Anal., 2023)

Efficient Uncertainty Quantification for Mechanical Properties of Randomly Perturbed Elastic Rods. - Patrick W. Dondl; Yongming Luo; Stefan Neukamm; Steve Wolff-Vorbeck (Multiscale Model. Simul., 2024)

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs. - Oluwatosin Akande; Patrick W. Dondl; Kanan Gupta; Akwum Onwunta; Stephan Wojtowytsch (CoRR, 2025)

Arbitrary precision computation of hydrodynamic stability eigenvalues. - Patrick W. Dondl; Ludwig Striet; Brian Straughan (CoRR, 2025)

Convex-concave splitting for the Allen-Cahn equation leads to ϵ2-slow movement of interfaces. - Patrick W. Dondl; Akwum Onwunta; Ludwig Striet; Stephan Wojtowytsch (CoRR, 2025)