Michaela Mehlin

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Locally refined meshes severely impede the efficiency of explicit Runge-Kutta (RK) methods for the simulation of time-dependent wave phenomena. By taking smaller time-steps precisely where the smallest elements are located, local time-stepping (LTS) methods overcome the bottleneck caused by the stringent stability constraint of but a few small elements in(More)
For hyperbolic PDEs, local mesh refinement severely decreases the efficiency of explicit timeintegration schemes because of the overly small time-step dictated by a few small elements. Local time-stepping (LTS) methods overcome this bottleneck by using smaller time-steps only where the smallest elements are located. In [1], explicit second-order LTS methods(More)
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