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- W90648968 abstract "An hp-adaptive Discontinuous Galerkin Method for electromagnetic wave prop- agation phenomena in the time-domain is proposed. It differs from many other adaptive algorithms in two fundamental aspects: it aims at reducing the true ap- proximation error, i.e., it is not based on residuals or heuristic measures such as steep gradients, and it does not involve any tuning parameters. We allow for arbi- trary anisotropic refinements in the approximation order p and the mesh step size h regardless of the resulting level of hanging nodes and, hence, eliminate the neces- sity of performing constrained refinements for restoring mesh regularity. This leads to meshes with a minimal number of degrees of freedom. The adaptation process is guided by so-called reference solutions, which are employed for estimat- ing the solution error and finding the most suitable type of refinement. During mesh adaptation the numerical solution is transferred to the new discretization by means of orthogonal projections between Finite Element Spaces. The projections preserve the numerical stability of the scheme. Numerical examples are presented showing that the algorithm is able of respecting an a priori user-set error tolerance throughout time-domain simulations." @default.
- W90648968 created "2016-06-24" @default.
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- W90648968 date "2013-01-28" @default.
- W90648968 modified "2023-09-27" @default.
- W90648968 title "Error-Driven Dynamical hp-Meshes for the Discontinuous Galerkin Method in Time-Domain" @default.
- W90648968 hasPublicationYear "2013" @default.
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