An Adaptive Discontinuous Petrov--Galerkin Method for the Grad--Shafranov Equation

DOI10.1137/19M1309894zbMath1451.65202arXiv2001.04524OpenAlexW3092071288MaRDI QIDQ5131999

No author found.

Publication date: 9 November 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04524

zbMATH Keywords

adaptive mesh refinementhigh-orderGrad-Shafranovdiscontinuous Petrov-Galerkin method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (5)

An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD ⋮ Universal AMG accelerated embedded boundary method without small cell stiffness ⋮ A discontinuous Petrov-Galerkin method for compressible Navier-Stokes equations in three dimensions ⋮ A highly accurate difference method for approximating the solution and its first derivatives of the Dirichlet problem for Laplace's equation on a rectangle ⋮ A Parallel Cut-Cell Algorithm for the Free-Boundary Grad--Shafranov Problem

Uses Software

• hypre
• CHEASE
• XTOR
• PETSc
• MFEM
• JOREK
• Anderson
• ECOM

Cites Work

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