Abstract
We perform the error analysis of a stabilized discontinuous Galerkin scheme for the initial boundary value problem associated with the magnetic induction equations using standard discontinuous Lagrange basis functions.
In order to obtain the quasi-optimal convergence incorporating second-order Runge–Kutta schemes for time discretization, we need a strengthened
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© 2021 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Equal-Order Stabilized Finite Element Approximation of the p-Stokes Equations on Anisotropic Cartesian Meshes
- On the Stable Difference Schemes for the Schrödinger Equation with Time Delay
- Equilibrated Stress Tensor Reconstruction and A Posteriori Error Estimation for Nonlinear Elasticity
- Eigenvalue Problems for Exponential-Type Kernels
- A New Probabilistic Interpretation of the Bramble–Hilbert Lemma
- Nonlinear Evolution Equations with Exponentially Decaying Memory: Existence via Time Discretisation, Uniqueness, and Stability
- Inversion of the Initial Value for a Time-Fractional Diffusion-Wave Equation by Boundary Data
- A Priori Error Analysis of a Discontinuous Galerkin Scheme for the Magnetic Induction Equation
- An Effective Diffeomorphic Model and Its Fast Multigrid Algorithm for Registration of Lung CT Images
- On p-Robust Saturation on Quadrangulations
Artikel in diesem Heft
- Frontmatter
- Equal-Order Stabilized Finite Element Approximation of the p-Stokes Equations on Anisotropic Cartesian Meshes
- On the Stable Difference Schemes for the Schrödinger Equation with Time Delay
- Equilibrated Stress Tensor Reconstruction and A Posteriori Error Estimation for Nonlinear Elasticity
- Eigenvalue Problems for Exponential-Type Kernels
- A New Probabilistic Interpretation of the Bramble–Hilbert Lemma
- Nonlinear Evolution Equations with Exponentially Decaying Memory: Existence via Time Discretisation, Uniqueness, and Stability
- Inversion of the Initial Value for a Time-Fractional Diffusion-Wave Equation by Boundary Data
- A Priori Error Analysis of a Discontinuous Galerkin Scheme for the Magnetic Induction Equation
- An Effective Diffeomorphic Model and Its Fast Multigrid Algorithm for Registration of Lung CT Images
- On p-Robust Saturation on Quadrangulations