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math.NA2025
A non-negativity-preserving cut-cell discontinuous Galerkin method for the diffusive wave equation
Panasun Manorost, Peter Bastian
A non-negativity-preserving cut-cell discontinuous Galerkin method for the degenerate parabolic diffusive wave approximation of the shallow water equation is presented. The method…
math.NA2025
Novel bidomain partitioned strategies for the simulation of ventricular fibrillation dynamics
Gopika P B, Peter Bastian, Nagaiah Chamakuri
The numerical tools to simulate the bidomain model in cardiac electrophysiology are constantly developing due to the great clinical interest and scientific advances in mathematical…
math.NA2025
A GenEO-type coarse space with smaller eigenproblems
Peter Bastian, Nils Friess
Coarse spaces are essential to ensure robustness w.r.t. the number of subdomains in two-level overlapping Schwarz methods. Robustness with respect to the coefficients of the underl…