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IMA Journal of Numerical Analysis, ISSN 0272-4979, 04/2013, Volume 33, Issue 2, pp. 432 - 459
This work is about the numerical solution of the time-domain Maxwell's equations in dispersive propagation media by a discontinuous Galerkin time-domain method... 
dispersive medium | time domain | Maxwell's equations | convergence analysis | discontinuous Galerkin method | MATHEMATICS, APPLIED | ELECTROPORATION | ERROR ANALYSIS | FINITE-ELEMENT | MODEL | Discretization | Mathematical analysis | Differential equations | Media | Mathematical models | Galerkin methods | Convergence | Analysis of PDEs | Numerical Analysis | Mathematics
Journal Article
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, ISSN 1068-9613, 2018, Volume 49, pp. 151 - 181
.... We design an adaptive space-time domain decomposition algorithm, wherein the iterations are stopped when the domain decomposition error does not affect significantly the global... 
MATHEMATICS, APPLIED | a posteriori error estimate | nonconforming time grids | APPROXIMATION | Robin interface conditions | WAVE-FORM RELAXATION | ALGORITHM | IMPLEMENTATION | ADAPTIVITY | VOLUME DISCRETIZATIONS | DIFFUSION EQUATION | global-in-time domain decomposition | stopping criteria | mixed finite element method | FINITE-ELEMENT DISCRETIZATIONS | ERROR ESTIMATION | EFFICIENT
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 02/2020, Volume 403, p. 109074
..., while not restricting the whole system to small time steps, thus improving computational efficiency. Two types of error estimators are introduced to estimate the spatial discretization error, the temporal discretization error separately... 
Mixed finite element method | Non-linear system | Iterative solver | Space-time domain decomposition | Sequential local mesh refinement | Nonlinear equations | Two phase flow | Scale models | Convergence | Finite element method | Errors | Algorithms | Discretization | Upper bounds | Mathematical models | Nonlinear programming | Grid refinement (mathematics) | Linear equations | Estimators
Journal Article
Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 10/2006, Volume 16, Issue 10, pp. 1559 - 1598
This paper deals with a time-domain mathematical model for dissipative acoustics and is organized as follows... 
Finite elements | Time-domain problems | Time-discretization schemes | Dissipative acoustics | time-discretization schemes | THERMOELASTICITY | MATHEMATICS, APPLIED | dissipative acoustics | time-domain problems | finite elements
Journal Article