A hybridizable discontinuous Galerkin solver for the Grad-Shafranov equation
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Publication:6101951
DOI10.1016/j.cpc.2018.09.013arXiv1712.04148WikidataQ129179477 ScholiaQ129179477MaRDI QIDQ6101951
Tonatiuh Sánchez-Vizuet, Manuel Solano
Publication date: 5 May 2023
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.04148
magnetohydrodynamics (MHD)hybridizable discontinuous Galerkin (HDG)Anderson accelerationGrad-Shafranovplasma equilibriumcurved boundary
Related Items (8)
A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow ⋮ Adaptive hybridizable discontinuous Galerkin discretization of the Grad-Shafranov equation by extension from polygonal subdomains ⋮ An unfitted HDG method for a distributed optimal control problem ⋮ An Adaptive Discontinuous Petrov--Galerkin Method for the Grad--Shafranov Equation ⋮ \textit{A priori} and \textit{a posteriori} error analysis of an unfitted HDG method for semi-linear elliptic problems ⋮ Afternote to ``Coupling at a distance: convergence analysis and a priori error estimates ⋮ A Parallel Cut-Cell Algorithm for the Free-Boundary Grad--Shafranov Problem ⋮ Error analysis of an unfitted HDG method for a class of non-linear elliptic problems
Cites Work
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- To CG or to HDG: a comparative study in 3D
- ECOM: A fast and accurate solver for toroidal axisymmetric MHD equilibria
- Solving the Grad-Shafranov equation with spectral elements
- A fast, high-order solver for the Grad-Shafranov equation
- Meshless method for solving fixed boundary problem of plasma equilibrium
- To CG or to HDG: A comparative study
- A finite element method for interface problems in domains with smooth boundaries and interfaces
- Computation of MHD equilibrium of tokamak plasma
- Multigrid methods II. Proceedings of the 2nd European Conference on Multigrid Methods held at Cologne (Federal Republic of Germany), October 1-4, 1985
- Numerical solution of ideal MHD equilibrium via radial basis functions collocation and moving least squares approximation methods
- A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries
- Computation of fixed boundary tokamak equilibria using a method based on approximate particular solutions
- Accurate derivative evaluation for any Grad-Shafranov solver
- A mimetic spectral element solver for the Grad-Shafranov equation
- High-resolution magnetohydrodynamic equilibrium code for unity beta plasmas
- Flow patterns around heart valves: A numerical method
- Algorithm 949
- A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity
- Solving Dirichlet Boundary-value Problems on Curved Domains by Extensions from Subdomains
- Conditions for superconvergence of HDG methods for second-order elliptic problems
- Anderson Acceleration for Fixed-Point Iterations
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Computational Methods in Plasma Physics
- A projection-based error analysis of HDG methods
- Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- Projection Methods for Dirichlet's Problem in Approximating Polygonal Domains with Boundary-Value Corrections
- Convergence Analysis for Anderson Acceleration
- Iterative Procedures for Nonlinear Integral Equations
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